the Askey–Wilson polynomials (or q-Wilson polynomials) are a family of orthogonal polynomials introduced by Richard Askey and James A. Wilson as q-analogs...

In mathematics, an orthogonal polynomial sequence is a family of polynomials such that any two different polynomials in the sequence are orthogonal to...

Askey–Wilson polynomials (introduced by him in 1984 together with James A. Wilson) are on the top level of the ( q {\displaystyle q} -)Askey scheme, which...

All one polynomials Appell sequence Askey–Wilson polynomials Bell polynomials Bernoulli polynomials Bernstein polynomial Bessel polynomials Binomial...

Wilson polynomials are a family of orthogonal polynomials introduced by James A. Wilson (1980) that generalize Jacobi polynomials, Hahn polynomials,...

classical orthogonal polynomials discussed in Andrews & Askey (1985), the Askey scheme was first drawn by Labelle (1985) and by Askey and Wilson (1985), and has...

Arthur Wilson is a mathematician working on special functions and orthogonal polynomials who introduced Wilson polynomials, Askey–Wilson polynomials and...

other families of orthogonal polynomials, such as Jack polynomials and Hall–Littlewood polynomials and Askey–Wilson polynomials, which in turn include most...

Koornwinder and I. G. Macdonald, that generalize the Askey–Wilson polynomials. They are the Macdonald polynomials attached to the non-reduced affine root system...

series, Appell polynomial, Generalized Appell polynomials Richard Askey: Askey–Wilson polynomial, Askey–Wilson function (with James A. Wilson) Ernest William...

the q-Racah polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme, introduced by Askey & Wilson (1979). Roelof...

Apple, leading educational theorist Richard Askey, mathematician, the Askey–Wilson polynomials and Askey–Gasper inequality are partially named for him...

continuous dual Hahn polynomials are a family of orthogonal polynomials in the Askey scheme of hypergeometric orthogonal polynomials. They are defined in...

inflammation of the brain. Richard Askey, 86, American mathematician, discoverer of Askey–Wilson polynomials, Askey scheme and Askey–Gasper inequality. Dorothea...

{\displaystyle \operatorname {W} } are Wilson polynomials. Askey & Wilson (1979) introduced the q-Racah polynomials defined in terms of basic hypergeometric...

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...

the continuous Hahn polynomials are a family of orthogonal polynomials in the Askey scheme of hypergeometric orthogonal polynomials. They are defined in...

Ambati 1989 Youngest person to become a doctor Richard Askey 1951 Mathematician; Askey-Wilson polynomials Eric Baer 1949 Polymer and plastics researcher Edgar...

are many q-derivatives, for example, the classical q-derivative, the Askey–Wilson operator, etc. Therefore, unlike the classical exponentials, q-exponentials...

theory. In 1959 Hirschman wrote a paper with Askey, Weighted quadratic norms and ultraspherical polynomials, published in the Transactions of the American...

tabulation ceased to be the main issue. The modern theory of orthogonal polynomials is of a definite but limited scope. Hypergeometric series, observed by...

{}_{1}F_{1}(-n;b;z)} is a polynomial. Up to constant factors, these are the Laguerre polynomials. This implies Hermite polynomials can be expressed in terms...

{dx}{1+x^{2}}}.} The polynomial shown is the first few terms of the Taylor series expansion of the sine function. Andrews, Askey & Roy 1999, p. 59. Gupta...