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In mathematics, the 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 for 0≤n≤N where λ(x)=x(x+γ+δ+1). Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (, 14) give a detailed list of their properties.

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  • 双対ハーン多項式
  • 双哈恩多项式
  • Dual Hahn polynomials
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  • 双対ハーン多項式(そうついはーんたこうしき、英語: dual Hahn polynomials)は直交多項式のひとつで、アスキースキームによって体系付けられる。
  • 双重哈恩多项式(Dual Hahn polynomials)是一个正交多项式,定义如下 其中0≤n≤N 双重哈恩多项式的前几个:
  • In mathematics, the 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 for 0≤n≤N where λ(x)=x(x+γ+δ+1). Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (, 14) give a detailed list of their properties.
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  • 双対ハーン多項式(そうついはーんたこうしき、英語: dual Hahn polynomials)は直交多項式のひとつで、アスキースキームによって体系付けられる。
  • 双重哈恩多项式(Dual Hahn polynomials)是一个正交多项式,定义如下 其中0≤n≤N 双重哈恩多项式的前几个:
  • In mathematics, the 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 for 0≤n≤N where λ(x)=x(x+γ+δ+1). Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (, 14) give a detailed list of their properties. Closely related polynomials include the Hahn polynomials, the continuous Hahn polynomials pn(x,a,b, a, b), and the continuous dual Hahn polynomials Sn(x;a,b,c). These polynomials all have q-analogs with an extra parameter q, such as the q-Hahn polynomials Qn(x;α,β, N;q), and so on.
first
  • Roderick S. C.
  • Roelof
  • Tom H.
  • René F.
  • Peter A.
id
isbn
last
  • Koekoek
  • Koornwinder
  • Swarttouw
  • Wong
  • Lesky
loc
location
  • Berlin, New York
mr
publisher
series
  • Springer Monographs in Mathematics
title
  • Hahn Class: Definitions
  • Hypergeometric orthogonal polynomials and their q-analogues
year
doi
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