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Askey scheme : ウィキペディア英語版 | 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 , the Askey scheme was first drawn by and by , and has since been extended by and to cover basic orthogonal polynomials. ==Askey scheme for hypergeometric orthogonal polynomials==
give the following version of the Askey scheme: ;4F3: Wilson | Racah ;3F2: Continuous dual Hahn | Continuous Hahn | Hahn | dual Hahn ;2F1: Meixner–Pollaczek | Jacobi | Pseudo Jacobi | Meixner | Krawtchouk ;2F0/1F1: Laguerre | Bessel | Charlier ;1F0: Hermite
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