Category

Hypergeometric functions

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hypergeometric function

special function defined by a hypergeometric series

binomial transform

transformation of a mathematical sequence

Rogers–Ramanujan identities

Mathematical identities related to basic hypergeometric series

generalized hypergeometric function

family of power series in mathematics

basic hypergeometric series

q-analog of hypergeometric series

Kampé de Fériet function

special function in mathematics

Picard–Fuchs equation

mathematical equation

Askey–Wilson polynomials

family of orthogonal polynomials made by Askey & Wilson as q-analogs of Wilson polynomials

Meijer G-function

generalization of the hypergeometric function

Wilson polynomials

family of orthogonal polynomials introduced by James Wilson

Dixon's identity

On finite sums of products of three binomial coefficients, and a hypergeometric sum

Riemann's differential equation

generalization of the hypergeometric differential equation

Barnes integral

Contour integral of a product of gamma functions

confluent hypergeometric function

solution of a confluent hypergeometric equation

Legendre function

solutions of Legendre's differential equation

Fox–Wright function

generalisation of the generalised hypergeometric function pFq(z)

Lauricella hypergeometric series

well defined hypergeometric series discovered by Giuseppe Lauricella