Wilson polynomials — In mathematics, Wilson polynomials are a family of orthogonal polynomials introduced by harvtxt|Wilson|1980that generalize Jacobi polynomials, Hahn polynomials, and Charlier polynomials. They are defined in terms of the hypergeometric function… … Wikipedia
Orthogonal polynomials — 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… … Wikipedia
Macdonald polynomials — In mathematics, Macdonald polynomials Pλ(x; t,q) are a family of orthogonal polynomials in several variables, introduced by Macdonald (1987). Macdonald originally associated his polynomials with weights λ of finite root systems and used just … Wikipedia
Koornwinder polynomials — In mathematics, Koornwinder polynomials are a family of orthogonal polynomials in several variables, named for their discoverer Tom H. Koornwinder, that generalize the Askey Wilson polynomials. They can also be viewed as Macdonald polynomials… … Wikipedia
Richard Askey — Richard Allen Askey (born June 4 1933) is an American mathematician, known for his expertise in the area of special functions. The Askey–Wilson polynomials are an important schematic in organising the theory of special polynomials (his work with… … Wikipedia
Continuous q-Jacobi polynomials — In mathematics, the continuous q Jacobi polynomials P(α,β) n(x|q), introduced by Askey Wilson (1985), are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F.… … Wikipedia
Racah polynomials — In mathematics, Racah polynomials are orthogonal polynomials named after Giulio Racah, as their orthogonality relations are equivalent to his orthogonality relations for Racah coefficients.The Racah polynomials were first defined by… … Wikipedia
Continuous Hahn polynomials — In mathematics, the continuous Hahn polynomials are a family of orthogonal polynomials in the Askey scheme of hypergeometric orthogonal polynomials. They are defined in terms of generalized hypergeometric functions by Roelof Koekoek, Peter A.… … Wikipedia
Continuous dual Hahn polynomials — In mathematics, the continuous dual Hahn polynomials are a family of orthogonal polynomials in the Askey scheme of hypergeometric orthogonal polynomials. They are defined in terms of generalized hypergeometric functions by Roelof Koekoek, Peter A … Wikipedia
List of polynomial topics — This is a list of polynomial topics, by Wikipedia page. See also trigonometric polynomial, list of algebraic geometry topics.Basics*Polynomial *Coefficient *Monomial *Polynomial long division *Polynomial factorization *Rational function *Partial… … Wikipedia