source stringlengths 31 168 | text stringlengths 51 3k |
|---|---|
https://en.wikipedia.org/wiki/Continuous%20dual%20q-Hahn%20polynomials | In mathematics, the continuous dual q-Hahn polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties.
Definition
The polynomials are given in terms of basic hypergeometric functions and the q-Pochhammer symbol by
In which
Galle... |
https://en.wikipedia.org/wiki/Q-Hahn%20polynomials | In mathematics, the q-Hahn polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties.
Definition
The polynomials are given in terms of basic hypergeometric functions by
Relation to other polynomials
q-Hahn polynomials→ Quantum q... |
https://en.wikipedia.org/wiki/Dual%20q-Hahn%20polynomials | In mathematics, the dual q-Hahn polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties.
Definition
The polynomials are given in terms of basic hypergeometric functions.
References
Orthogonal polynomials
Q-analogs
Special hyperg... |
https://en.wikipedia.org/wiki/Panos%20Ipeirotis | Panagiotis G. Ipeirotis (Born on May 3rd, 1976 in Serres, Greece) is a professor and George A. Kellner Faculty Fellow at the Department of Technology, Operations, and Statistics at Leonard N. Stern School of Business of New York University.
He is known for his work on crowdsourcing (especially Amazon Mechanical Turk) ... |
https://en.wikipedia.org/wiki/Al-Salam%E2%80%93Chihara%20polynomials | In mathematics, the Al-Salam–Chihara polynomials Qn(x;a,b;q) are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by . give a detailed list of the properties of Al-Salam–Chihara polynomials.
Definition
The Al-Salam–Chihara polynomials are given in terms of basic hypergeom... |
https://en.wikipedia.org/wiki/Al-Salam%E2%80%93Carlitz%20polynomials | In mathematics, Al-Salam–Carlitz polynomials U(x;q) and V(x;q) are two families of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by . give a detailed list of their properties.
Definition
The Al-Salam–Carlitz polynomials are given in terms of basic hypergeometric functions by
Ref... |
https://en.wikipedia.org/wiki/Al-Salam%20polynomial | In mathematics, Al-Salam polynomials, named for Waleed Al Salam, may refer to:
Al-Salam–Carlitz polynomials
Al-Salam–Chihara polynomials
Al-Salam–Ismail polynomials |
https://en.wikipedia.org/wiki/Bal%C3%A1zs%20Zamostny | Balázs Zamostny (born 31 January 1992) is a Hungarian forward who plays for Tiszakécske.
Club career
On 28 June 2022, Zamostny moved to Tiszakécske.
Career statistics
.
Honours
Újpest
Hungarian Cup (1): 2013–14
References
External links
Player profile at HLSZ
1992 births
Living people
Footballers from Pécs
... |
https://en.wikipedia.org/wiki/Sweedler%27s%20Hopf%20algebra | In mathematics, introduced an example of an infinite-dimensional Hopf algebra, and Sweedler's Hopf algebra H4 is a certain 4-dimensional quotient of it that is neither commutative nor cocommutative.
Definition
The following infinite dimensional Hopf algebra was introduced by . The Hopf algebra is generated as an al... |
https://en.wikipedia.org/wiki/Kolmogorov%E2%80%93Zurbenko%20filter | Within statistics, the Kolmogorov–Zurbenko (KZ) filter was first proposed by A. N. Kolmogorov and formally defined by Zurbenko. It is a series of iterations of a moving average filter of length m, where m is a positive, odd integer. The KZ filter belongs to the class of low-pass filters. The KZ filter has two parameter... |
https://en.wikipedia.org/wiki/Graph%20energy | In mathematics, the energy of a graph is the sum of the absolute values of the eigenvalues of the adjacency matrix of the graph. This quantity is studied in the context of spectral graph theory.
More precisely, let G be a graph with n vertices. It is assumed that G is simple, that is, it does not contain loops or para... |
https://en.wikipedia.org/wiki/Unemployment%20in%20the%20United%20Kingdom | Unemployment in the United Kingdom is measured by the Office for National Statistics.
In the most recent three-month figures (July to September 2022) the unemployment rate was estimated at 3.6%, which is 0.2 percentage points lower than the previous three-month period. The ONS said the employment rate, or percentage o... |
https://en.wikipedia.org/wiki/Sarah%20West | Sarah West (born 1972) is a retired Royal Navy officer, the first woman to be appointed to command a major warship in the Royal Navy.
West was born in Lincolnshire and studied mathematics at the University of Hertfordshire before entering Britannia Royal Naval College in September 1995. She joined the Royal Navy as a ... |
https://en.wikipedia.org/wiki/Thomas%20Graham%20Balfour | Thomas Graham Balfour (18 March 1813 – 17 January 1891) was a Scottish physician noted for his work with medical statistics, and a member of Florence Nightingale's inner circle.
Biography
Balfour was born in Edinburgh on 18 March 1813. He was son of John Balfour, a merchant of Leith, and his wife Helen, daughter of Th... |
https://en.wikipedia.org/wiki/Greville%20Ewing | Greville Ewing (1767–1841), was a Scottish congregational minister of the Church of Scotland.
Career
Ewing, the son of Alexander Ewing, a teacher of mathematics, was born in 1767 at Edinburgh, and lived on the Cowgate, south of Canongate, the east part of the Old Town.
He studied with considerable distinction at the ... |
https://en.wikipedia.org/wiki/Thomas%20Exley | Thomas Exley (9 December 1774 – 17 February 1855) was an English schoolmaster and schoolkeeper, who taught and occasionally published on mathematics, but was better known for advancing controversial scientific theories and for theological discussions, with special reference to Methodism.
Exley was born in Gowdall, a v... |
https://en.wikipedia.org/wiki/Availability%20%28system%29 | Availability is the probability that a system will work as required when required during the period of a mission. The mission could be the 18-hour span of an aircraft flight. The mission period could also be the 3 to 15-month span of a military deployment. Availability includes non-operational periods associated with r... |
https://en.wikipedia.org/wiki/Affine%20root%20system | In mathematics, an affine root system is a root system of affine-linear functions on a Euclidean space. They are used in the classification of affine Lie algebras and superalgebras, and semisimple p-adic algebraic groups, and correspond to families of Macdonald polynomials. The reduced affine root systems were used by ... |
https://en.wikipedia.org/wiki/Orthogonal%20polynomials%20on%20the%20unit%20circle | In mathematics, orthogonal polynomials on the unit circle are families of polynomials that are orthogonal with respect to integration over the unit circle in the complex plane, for some probability measure on the unit circle. They were introduced by .
Definition
Suppose that is a probability measure on the unit ci... |
https://en.wikipedia.org/wiki/Christophe%20Soul%C3%A9 | Christophe Soulé (born 1951) is a French mathematician working in arithmetic geometry.
Education
Soulé started his studies in 1970 at École Normale Supérieure in Paris.
He completed his Ph.D. at the University of Paris in 1979 under the supervision of Max Karoubi and Roger Godement, with a dissertation titled K-Théor... |
https://en.wikipedia.org/wiki/Hovhannes%20Imastaser | Hovhannes Imastaser (, c. 1047–1129), also known as Hovhannes Sarkavag (), was a medieval Armenian multi-disciplinary scholar known for his works on philosophy, theology, mathematics, cosmology, and literature. Imastaser was also a gifted hymnologist and pedagogue.
Biography
Hovhannes Imastaser was born around 1047 ... |
https://en.wikipedia.org/wiki/Alexiewicz%20norm | In mathematics — specifically, in integration theory — the Alexiewicz norm is an integral norm associated to the Henstock–Kurzweil integral. The Alexiewicz norm turns the space of Henstock–Kurzweil integrable functions into a topological vector space that is barrelled but not complete. The Alexiewicz norm is named af... |
https://en.wikipedia.org/wiki/Biorthogonal%20polynomial | In mathematics, a biorthogonal polynomial is a polynomial that is orthogonal to several different measures. Biorthogonal polynomials are a generalization of orthogonal polynomials and share many of their properties. There are two different concepts of biorthogonal polynomials in the literature: introduced the concept ... |
https://en.wikipedia.org/wiki/Historical%20table%20of%20the%20Copa%20Sudamericana | The Historical Table of the Copa Sudamericana is a record of statistics of every team that has played in the Copa Sudamericana since its inception in 2002, up to the 2022 season. The list is ordered according to the most points each team has accumulated.
Playing at 2022 edition.
References
Copa Sudamericana
All-time... |
https://en.wikipedia.org/wiki/Leo%20T%C3%B6rnqvist | Leo Waldemar Törnqvist (14 February 1911 – 18 April 1983) was one of the first professors of statistics in Finland, and the first to achieve international recognition. He taught at the University of Helsinki from 1943 to 1974, and developed techniques that are used in official price and productivity statistics.
Life, ... |
https://en.wikipedia.org/wiki/Teemu%20Normio | Teemu Normio (born May 9, 1980) is a Finnish professional ice hockey player who is currently playing for Frederikshavn White Hawks in the AL-Bank Ligaen.
Career statistics
External links
1980 births
Porin Ässät (men's ice hockey) players
Finnish ice hockey left wingers
Frederikshavn White Hawks players
KalPa players... |
https://en.wikipedia.org/wiki/Ben%20Binyamin | Ben Binyamin is an Israeli footballer currently playing for Maccabi Sha'arayim in the Liga Alef.
Club career statistics
(correct as of Feb 2013)
Honours
Liga Leumit
Runner-up (1): 2008–09
References
1985 births
Living people
Israeli Jews
Israeli men's footballers
Hapoel Acre F.C. players
Maccabi Ironi Shlomi F.C.... |
https://en.wikipedia.org/wiki/Riku%20Toivo | Riku Toivo (born July 25, 1989) is a Finnish professional ice hockey player who is currently playing for Kärpät in the SM-liiga.
Career statistics
References
1989 births
Finnish ice hockey right wingers
HC Temirtau players
Hokki players
Kiekko-Laser players
Oulun Kärpät players
Living people
Ice hockey people from N... |
https://en.wikipedia.org/wiki/Discrete%20orthogonal%20polynomials | In mathematics, a sequence of discrete orthogonal polynomials is a sequence of polynomials that are pairwise orthogonal with respect to a discrete measure.
Examples include the discrete Chebyshev polynomials, Charlier polynomials, Krawtchouk polynomials, Meixner polynomials, dual Hahn polynomials, Hahn polynomials, a... |
https://en.wikipedia.org/wiki/Fernando%20Canesin | Fernando Canesin Matos (born 27 February 1992) is a Brazilian footballer who plays for Cruzeiro as an attacking midfielder.
Career statistics
Honours
R.S.C. Anderlecht
Belgian First Division: 2011–12
Belgian Supercup: 2012
Athletico Paranaense
Campeonato Paranaense: 2020
References
External links
1992 births
Li... |
https://en.wikipedia.org/wiki/Mateusz%20Mak | Mateusz Mak (born 14 November 1991) is a Polish professional footballer who plays as a midfielder for GKS Katowice.
Career statistics
Club
Honours
GKS Bełchatów
I liga: 2013–14
Piast Gliwice
Ekstraklasa: 2018–19
Stal Mielec
I liga: 2019–20
References
External links
Living people
1991 births
People from Su... |
https://en.wikipedia.org/wiki/Pseudo%20Jacobi%20polynomials | In mathematics, the term Pseudo Jacobi polynomials was introduced by Lesky for one of three finite sequences of orthogonal polynomials y. Since they form an orthogonal subset of Routh polynomials it seems consistent to refer to them as Romanovski-Routh polynomials, by analogy with the terms Romanovski-Bessel and R... |
https://en.wikipedia.org/wiki/Ordinary%20differential%20equation | In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with other DE, its unknown(s) consists of one (or more) function(s) and involves the derivatives of those functions. The term "ordinary" is used in contrast with partial differenti... |
https://en.wikipedia.org/wiki/Rogers%20polynomials | In mathematics, the Rogers polynomials, also called Rogers–Askey–Ismail polynomials and continuous q-ultraspherical polynomials, are a family of orthogonal polynomials introduced by in the course of his work on the Rogers–Ramanujan identities. They are q-analogs of ultraspherical polynomials, and are the Macdonald pol... |
https://en.wikipedia.org/wiki/Matheass | MatheAss (former Math-Assist) is a computer program for numerical solutions in school mathematics and functions in some points similar to Microsoft Mathematics. "MatheAss is widely spread in math classes" in Germany. For schools in the federal state of Hessen (Germany) exists a state license, which allows all secondary... |
https://en.wikipedia.org/wiki/Femmes%20et%20Math%C3%A9matiques | L'association femmes et mathématiques (in English: Association of Women and Mathematics), created in 1987, is a voluntary association promoting women in scientific studies and research in general, and mathematics in particular. This organization currently has about 200 members, including university professors of math, ... |
https://en.wikipedia.org/wiki/Rogers%E2%80%93Szeg%C5%91%20polynomials | In mathematics, the Rogers–Szegő polynomials are a family of polynomials orthogonal on the unit circle introduced by , who was inspired by the continuous q-Hermite polynomials studied by Leonard James Rogers. They are given by
where (q;q)n is the descending q-Pochhammer symbol.
Furthermore, the satisfy (for ) the r... |
https://en.wikipedia.org/wiki/Michael%20A.%20Newton | Michael Abbott Newton (born July 19, 1964, Baddeck, Nova Scotia) is a Canadian statistician. He is a Professor in the Department of Statistics and the Department of Biostatistics and Medical Informatics at the University of Wisconsin–Madison, and he received the COPSS Presidents' Award in 2004. He has written many rese... |
https://en.wikipedia.org/wiki/Quintuple%20product%20identity | In mathematics the Watson quintuple product identity is an infinite product identity introduced by and rediscovered by and . It is analogous to the Jacobi triple product identity, and is the Macdonald identity for a certain non-reduced affine root system. It is related to Euler's pentagonal number theorem.
Statement... |
https://en.wikipedia.org/wiki/Larry%20A.%20Wasserman | Larry Alan Wasserman (born 1959) is a Canadian-American statistician and a professor in the Department of Statistics & Data Science and the Machine Learning Department at Carnegie Mellon University.
Biography
Wasserman received his Ph.D. from the University of Toronto in 1988 under the supervision of Robert Tibshirani... |
https://en.wikipedia.org/wiki/Mott%20polynomials | In mathematics the Mott polynomials sn(x) are polynomials introduced by who applied them to a problem in the theory of electrons.
They are given by the exponential generating function
Because the factor in the exponential has the power series
in terms of Catalan numbers , the coefficient in front of of the polynomi... |
https://en.wikipedia.org/wiki/Gould%20polynomials | In mathematics the Gould polynomials Gn(x; a,b) are polynomials introduced by H. W. Gould and named by Roman in 1984.
They are given by
where
so
References
Polynomials |
https://en.wikipedia.org/wiki/Sister%20Celine%27s%20polynomials | In mathematics, Sister Celine's polynomials are a family of hypergeometric polynomials introduced by . They include Legendre polynomials, Jacobi polynomials, and Bateman polynomials as special cases.
References
Polynomials |
https://en.wikipedia.org/wiki/Mittag-Leffler%20polynomials | In mathematics, the Mittag-Leffler polynomials are the polynomials gn(x) or Mn(x) studied by .
Mn(x) is a special case of the Meixner polynomial Mn(x;b,c) at b = 0, c = -1.
Definition and examples
Generating functions
The Mittag-Leffler polynomials are defined respectively by the generating functions
and
They a... |
https://en.wikipedia.org/wiki/Tricomi%E2%80%93Carlitz%20polynomials | In mathematics, the Tricomi–Carlitz polynomials or (Carlitz–)Karlin–McGregor polynomials are polynomials studied by and and , related to random walks on the positive integers.
They are given in terms of Laguerre polynomials by
They are special cases of the Chihara–Ismail polynomials.
References
Orthogonal polyno... |
https://en.wikipedia.org/wiki/Carlitz%20polynomial | In mathematics, Carlitz polynomial, named for Leonard Carlitz, may refer to:
Al-Salam–Carlitz polynomials
Tricomi–Carlitz polynomials |
https://en.wikipedia.org/wiki/Wall%20polynomial | In mathematics, a Wall polynomial is a polynomial studied by in his work on conjugacy classes in classical groups, and named by .
References
Polynomials |
https://en.wikipedia.org/wiki/Bender%E2%80%93Dunne%20polynomials | In mathematics, Bender–Dunne polynomials are a two-parameter family of sequences of orthogonal polynomials studied by . They may be defined by the recursion:
,
,
and for :
where and are arbitrary parameters.
References
Orthogonal polynomials |
https://en.wikipedia.org/wiki/Gottlieb%20polynomials | In mathematics, Gottlieb polynomials are a family of discrete orthogonal polynomials introduced by . They are given by
References
Orthogonal polynomials |
https://en.wikipedia.org/wiki/Harish-Chandra%27s%20c-function | In mathematics, Harish-Chandra's c-function is a function related to the intertwining operator between two principal series representations, that appears in the Plancherel measure for semisimple Lie groups. introduced a special case of it defined in terms of the asymptotic behavior of a zonal spherical function of a ... |
https://en.wikipedia.org/wiki/Fridrikh%20Karpelevich | Fridrikh Israilevich Karpelevich (; 2 October 1927 – 5 July 2000) was a Russian mathematician known for his work on semisimple Lie algebras, geometry, and probability theory. Together with Simon Gindikin, he discovered the Gindikin–Karpelevich formula.
Notes
References
Russian mathematicians
Algebraists
Probability ... |
https://en.wikipedia.org/wiki/Daniel%20Drescher | Daniel Drescher (born 7 October 1989) is an Austrian professional footballer who plays for TWL Elektra and is noted for his tackling abilities and aerial prowess.
Club statistics
Updated to games played as of 16 June 2014.
References
1989 births
Living people
Footballers from Vienna
Austrian men's footballers
Men's... |
https://en.wikipedia.org/wiki/Nicola%20Fusco | Nicola Fusco (born August 14, 1956 in Napoli) is an Italian mathematician
mainly known for his contributions to the fields of calculus of variations, regularity theory of partial differential equations, and the theory of symmetrization. He is currently professor at the Università di Napoli "Federico II". Fusco also tau... |
https://en.wikipedia.org/wiki/Mahler%20polynomial | In mathematics, the Mahler polynomials gn(x) are polynomials introduced by in his work on the zeros of the incomplete gamma function.
Mahler polynomials are given by the generating function
Which is close to the generating function of the Touchard polynomials.
The first few examples are
References
Polynomials |
https://en.wikipedia.org/wiki/Bessel%E2%80%93Maitland%20function | In mathematics, the Bessel–Maitland function, or Wright generalized Bessel function, is a generalization of the Bessel function, introduced by . The word "Maitland" in the name of the function seems to be the result of confusing Edward Maitland Wright's middle and last names. It is given by
References
Special functio... |
https://en.wikipedia.org/wiki/Str%C3%B6mgren%20integral | In mathematics and astrophysics, the Strömgren integral, introduced by while computing the Rosseland mean opacity, is the integral:
discussed applications of the Strömgren integral in astrophysics, and discussed how to compute it.
References
External links
Stromgren integral
Special functions
Astrophysics |
https://en.wikipedia.org/wiki/Norm%20group | In number theory, a norm group is a group of the form where is a finite abelian extension of nonarchimedean local fields. One of the main theorems in local class field theory states that the norm groups in are precisely the open subgroups of of finite index.
See also
Takagi existence theorem
References
J.S. Mil... |
https://en.wikipedia.org/wiki/Finite%20extensions%20of%20local%20fields | In algebraic number theory, through completion, the study of ramification of a prime ideal can often be reduced to the case of local fields where a more detailed analysis can be carried out with the aid of tools such as ramification groups.
In this article, a local field is non-archimedean and has finite residue field... |
https://en.wikipedia.org/wiki/Boas%E2%80%93Buck%20polynomials | In mathematics, Boas–Buck polynomials are sequences of polynomials defined from analytic functions and by generating functions of the form
.
The case , sometimes called generalized Appell polynomials, was studied by .
References
Polynomials |
https://en.wikipedia.org/wiki/B%C3%B6hmer%20integral | In mathematics, a Böhmer integral is an integral introduced by generalizing the Fresnel integrals.
There are two versions, given by
Consequently, Fresnel integrals can be expressed in terms of the Böhmer integrals as
The sine integral and cosine integral can also be expressed in terms of the Böhmer integrals
Refe... |
https://en.wikipedia.org/wiki/List%20of%20Olympic%20Games%20records%20in%20track%20cycling | This is a list of Olympic records in track cycling.
Men's records
♦ denotes a performance that is also a current world record. Statistics are correct as of 4 August 2021.
Women's records
♦ denotes a performance that is also a current world record. Statistics are correct as of 6 August 2021.
* In 2016, the 3000 m t... |
https://en.wikipedia.org/wiki/Meier%20function | In mathematics, Meier function might refer to:
Kaplan–Meier estimator
Meijer G-function |
https://en.wikipedia.org/wiki/Hahn%E2%80%93Exton%20q-Bessel%20function | In mathematics, the Hahn–Exton q-Bessel function or the third Jackson q-Bessel function is a q-analog of the Bessel function, and satisfies the Hahn-Exton q-difference equation (). This function was introduced by in a special case and by in general.
The Hahn–Exton q-Bessel function is given by
is the basic hyperg... |
https://en.wikipedia.org/wiki/Backus%E2%80%93Gilbert%20method | In mathematics, the Backus–Gilbert method, also known as the optimally localized average (OLA) method is named for its discoverers, geophysicists George E. Backus and James Freeman Gilbert. It is a regularization method for obtaining meaningful solutions to ill-posed inverse problems. Where other regularization method... |
https://en.wikipedia.org/wiki/Bateman%20polynomials | In mathematics, the Bateman polynomials are a family Fn of orthogonal polynomials introduced by . The Bateman–Pasternack polynomials are a generalization introduced by .
Bateman polynomials can be defined by the relation
where Pn is a Legendre polynomial. In terms of generalized hypergeometric functions, they are giv... |
https://en.wikipedia.org/wiki/Kamp%C3%A9%20de%20F%C3%A9riet%20function | In mathematics, the Kampé de Fériet function is a two-variable generalization of the generalized hypergeometric series, introduced by Joseph Kampé de Fériet.
The Kampé de Fériet function is given by
Applications
The general sextic equation can be solved in terms of Kampé de Fériet functions.
See also
Appell series
H... |
https://en.wikipedia.org/wiki/Ex-tangential%20quadrilateral | In Euclidean geometry, an ex-tangential quadrilateral is a convex quadrilateral where the extensions of all four sides are tangent to a circle outside the quadrilateral. It has also been called an exscriptible quadrilateral. The circle is called its excircle, its radius the exradius and its center the excenter ( in the... |
https://en.wikipedia.org/wiki/Burchnall%E2%80%93Chaundy%20theory | In mathematics, the Burchnall–Chaundy theory of commuting linear ordinary differential operators was introduced by .
One of the main results says that two commuting differential operators satisfy a non-trivial algebraic relation.
The polynomial relating the two commuting differential operators is called the Burchnall–... |
https://en.wikipedia.org/wiki/John%20Greig%20%28mathematician%29 | John Greig (1759–1819) was an English mathematician. He died at Somers Town, London, on 19 January 1819, aged 60.
Works
He taught mathematics and wrote:
The Young Lady's Guide to Arithmetic, London, 1798; many editions, the last in 1864.
Introduction to the Use of the Globes, 1805 ; three editions.
A New Introducti... |
https://en.wikipedia.org/wiki/Jackson%20q-Bessel%20function | In mathematics, a Jackson q-Bessel function (or basic Bessel function) is one of the three q-analogs of the Bessel function introduced by . The third Jackson q-Bessel function is the same as the Hahn–Exton q-Bessel function.
Definition
The three Jackson q-Bessel functions are given in terms of the q-Pochhammer symbol... |
https://en.wikipedia.org/wiki/List%20of%20power%20stations%20in%20Northern%20Ireland | This is a list of electricity-generating power stations in Northern Ireland, sorted by type and name, with installed capacity (May 2011).
Note that the Digest of United Kingdom energy statistics (DUKES) maintains a comprehensive list of United Kingdom power stations, accessible through the Department of Energy and Cli... |
https://en.wikipedia.org/wiki/Hopf%20theorem | The Hopf theorem (named after Heinz Hopf) is a statement in differential topology, saying that the topological degree is the only homotopy invariant of continuous maps to spheres.
Formal statement
Let M be an n-dimensional compact connected oriented manifold and the n-sphere and be continuous. Then if and only if f... |
https://en.wikipedia.org/wiki/Erdelyi%E2%80%93Kober%20operator | In mathematics, an Erdélyi–Kober operator is a fractional integration operation introduced by and .
The Erdélyi–Kober fractional integral is given by
which generalizes the Riemann fractional integral and the Weyl integral.
References
Fractional calculus |
https://en.wikipedia.org/wiki/Mehler%E2%80%93Fock%20transform | In mathematics, the Mehler–Fock transform is an integral transform introduced by and rediscovered by .
It is given by
where P is a Legendre function of the first kind.
Under appropriate conditions, the following inversion formula holds:
References
Integral transforms |
https://en.wikipedia.org/wiki/Mehler%E2%80%93Heine%20formula | In mathematics, the Mehler–Heine formula introduced by Gustav Ferdinand Mehler and Eduard Heine describes the asymptotic behavior of the Legendre polynomials as the index tends to infinity, near the edges of the support of the weight. There are generalizations to other classical orthogonal polynomials, which are also ... |
https://en.wikipedia.org/wiki/Weisner%27s%20method | In mathematics, Weisner's method is a method for finding generating functions for special functions using representation theory of Lie groups and Lie algebras, introduced by . It includes Truesdell's method as a special case, and is essentially the same as Rainville's method.
References
Generating functions |
https://en.wikipedia.org/wiki/Al-Salam%E2%80%93Ismail%20polynomials | In mathematics, the Al-Salam–Ismail polynomials are a family of orthogonal polynomials introduced by .
References
Orthogonal polynomials |
https://en.wikipedia.org/wiki/Chihara%E2%80%93Ismail%20polynomials | In mathematics, the Chihara–Ismail polynomials are a family of orthogonal polynomials introduced by , generalizing the van Doorn polynomials introduced by and the Karlin–McGregor polynomials. They have a rather unusual measure, which is discrete except for a single limit point at 0 with jump 0, and is non-symmetric, b... |
https://en.wikipedia.org/wiki/Ismail%20polynomials | In mathematics, Ismail polynomials may refer to one of the families of orthogonal polynomials studied by Mourad Ismail, such as:
Al-Salam–Ismail polynomials
Chihara-Ismail polynomials
Rogers–Askey–Ismail polynomials |
https://en.wikipedia.org/wiki/Chihara%20polynomials | In mathematics, Chihara polynomials may refer to one of the families of orthogonal polynomials studied by Theodore Seio Chihara, including
Al-Salam–Chihara polynomials
Brenke–Chihara polynomials
Chihara–Ismail polynomials |
https://en.wikipedia.org/wiki/List%20of%20FC%20Porto%20records%20and%20statistics | Futebol Clube do Porto is a Portuguese sports club based in Porto, which is best known for its professional association football team. They played their first match in 1893, but only won their first trophy in 1911. Two years later, Porto began competing in a regional championship, and in 1922 they won the inaugural edi... |
https://en.wikipedia.org/wiki/Orthogonal%20polynomials | In mathematics, an orthogonal polynomial sequence is a family of polynomials such that any two different polynomials in the sequence are orthogonal to each other under some inner product.
The most widely used orthogonal polynomials are the classical orthogonal polynomials, consisting of the Hermite polynomials, the L... |
https://en.wikipedia.org/wiki/Alireza%20Ramezani%20%28footballer%2C%20born%201984%29 | Alireza Ramezani (born September 1, 1984) is an Iranian footballer who plays for Malavan in the Persian Gulf Pro League.
Club career statistics
References
External links
Alireza Ramezani player profile from iranproleague.net
1984 births
Living people
Persian Gulf Pro League players
Azadegan League players
Malavan ... |
https://en.wikipedia.org/wiki/Brenke%E2%80%93Chihara%20polynomials | In mathematics, Brenke polynomials are special cases of generalized Appell polynomials, and Brenke–Chihara polynomials are the Brenke polynomials that are also orthogonal polynomials.
introduced sequences of Brenke polynomials Pn, which are special cases of generalized Appell polynomials with generating function of ... |
https://en.wikipedia.org/wiki/1986%20S%C3%A3o%20Paulo%20FC%20season | The 1986 season was São Paulo's 57th season since club's existence.
Statistics
Scorers
Managers performance
Overall
{|class="wikitable"
|-
|Games played || 80 (38 Campeonato Paulista, 34 Campeonato Brasileiro, 8 Friendly match)
|-
|Games won || 30 (11 Campeonato Paulista, 17 Campeonato Brasileiro, 2 Friendly match... |
https://en.wikipedia.org/wiki/William%20Charles%20Brenke | William Charles Brenke (April 12, 1874, Berlin – 1964) was an American mathematician who introduced Brenke polynomials and wrote several undergraduate textbooks.
He received his PhD in mathematics at Harvard under Maxime Bôcher. Brenke taught at the University of Nebraska-Lincoln mathematics department from 1908 to 19... |
https://en.wikipedia.org/wiki/Jordan%27s%20theorem%20%28symmetric%20group%29 | In finite group theory, Jordan's theorem states that if a primitive permutation group G is a subgroup of the symmetric group Sn and contains a p-cycle for some prime number p < n − 2, then G is either the whole symmetric group Sn or the alternating group An. It was first proved by Camille Jordan.
The statement can be... |
https://en.wikipedia.org/wiki/Erwin%20Schr%C3%B6dinger%20Prize | The Erwin Schrödinger Prize (German: Erwin Schrödinger-Preis) is an annual award presented by the Austrian Academy of Sciences for lifetime achievement by Austrians in the fields of mathematics and natural sciences. The prize was established in 1958, and was first awarded to its namesake, Erwin Schrödinger.
Prize cri... |
https://en.wikipedia.org/wiki/1975%20Cricket%20World%20Cup%20statistics | This is a list of statistics for the 1975 Cricket World Cup.
Team statistics
Highest team totals
The following table lists the ten highest team scores during this tournament.
Batting statistics
Most runs
The top ten highest run scorers (total runs) in the tournament are included in this table.
Highest scores
This ... |
https://en.wikipedia.org/wiki/Konhauser%20polynomials | In mathematics, the Konhauser polynomials, introduced by , are biorthogonal polynomials for the distribution function of the Laguerre polynomials.
References
Orthogonal polynomials |
https://en.wikipedia.org/wiki/Sieved%20orthogonal%20polynomials | In mathematics, sieved orthogonal polynomials are orthogonal polynomials whose recurrence relations are formed by sieving the recurrence relations of another family; in other words, some of the recurrence relations are replaced by simpler ones. The first examples were the sieved ultraspherical polynomials introduced by... |
https://en.wikipedia.org/wiki/Enrico%20Giusti | Enrico Giusti (born Priverno, 1940), is an Italian mathematician mainly known for his contributions to the fields of calculus of variations, regularity theory of partial differential equations, minimal surfaces and history of mathematics. He has been professor of mathematics at the Università di Firenze; he also taught... |
https://en.wikipedia.org/wiki/Q-Konhauser%20polynomials | In mathematics, the q-Konhauser polynomials are a q-analog of the Konhauser polynomials, introduced by .
References
Orthogonal polynomials |
https://en.wikipedia.org/wiki/1979%20Cricket%20World%20Cup%20statistics | This is a list of statistics for the 1979 Cricket World Cup.
Team statistics
Highest team totals
The following table lists the ten highest team scores during this tournament.
Batting statistics
Most runs
The top five highest run scorers (total runs) in the tournament are included in this table.
Highest scores
This... |
https://en.wikipedia.org/wiki/Argument%20of%20a%20function | In mathematics, an argument of a function is a value provided to obtain the function's result. It is also called an independent variable.
For example, the binary function has two arguments, and , in an ordered pair . The hypergeometric function is an example of a four-argument function. The number of arguments that ... |
https://en.wikipedia.org/wiki/Sieved%20ultraspherical%20polynomials | In mathematics, the two families c(x;k) and B(x;k) of sieved ultraspherical polynomials, introduced by Waleed Al-Salam, W.R. Allaway and Richard Askey in 1984, are the archetypal examples of sieved orthogonal polynomials. Their recurrence relations are a modified (or "sieved") version of the recurrence relations for ul... |
https://en.wikipedia.org/wiki/Little%20q-Jacobi%20polynomials | In mathematics, the little q-Jacobi polynomials pn(x;a,b;q) are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by . give a detailed list of their properties.
Definition
The little q-Jacobi polynomials are given in terms of basic hypergeometric functions by
Gallery
Th... |
https://en.wikipedia.org/wiki/Big%20q-Jacobi%20polynomials | In mathematics, the big q-Jacobi polynomials Pn(x;a,b,c;q), introduced by , are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties.
Definition
The polynomials are given in terms of basic hypergeometric functions by
References
Orthogonal po... |
https://en.wikipedia.org/wiki/Continuous%20q-Jacobi%20polynomials | In mathematics, the continuous q-Jacobi polynomials P(x|q), introduced by , are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties.
Definition
The polynomials are given in terms of basic hypergeometric functions and the q-Pochhammer symbol by... |
https://en.wikipedia.org/wiki/Q-Jacobi%20polynomials | In mathematics, the q-Jacobi polynomials may be the
Big q-Jacobi polynomials
Continuous q-Jacobi polynomials
Little q-Jacobi polynomials |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.