: Mathématiques: Askey scheme

mathematical physics > special function > hypergeometric function > Askey scheme

mathematical analysis > functional analysis > special function > hypergeometric function > Askey scheme

... > function > elementary function > polynomial > orthogonal polynomials > Askey scheme

algebra > polynomial > orthogonal polynomials > Askey scheme

mathematical analysis > combinatorics > q-analog > Askey scheme

algebra > combinatorics > q-analog > Askey scheme

Askey scheme

In mathematics, the Askey scheme is a way of organizing orthogonal polynomials of hypergeometric or basic hypergeometric type into a hierarchy. For the 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 since been extended by Koekoek & Swarttouw (1998) and Koekoek, Lesky & Swarttouw (2010) to cover basic orthogonal polynomials.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Askey_scheme)

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