Continuous Hahn polynomials
In mathematics, the continuous 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 Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (, 14) give a detailed list of their properties. Closely related polynomials include the dual Hahn polynomials Rn(x;γ,δ,N), the Hahn polynomials, 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.
primaryTopic
Continuous Hahn polynomials
In mathematics, the continuous 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 Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (, 14) give a detailed list of their properties. Closely related polynomials include the dual Hahn polynomials Rn(x;γ,δ,N), the Hahn polynomials, 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.
has abstract
In mathematics, the continuous ...... als Qn(x;α,β, N;q), and so on.
@en
连续哈恩多项式由下列超几何函数定义：
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Wikipage page ID
32,670,695
Wikipage revision ID
448,539,150
doi
1.01007e+1
first
Roderick S. C.
id
last
location
Berlin, New York
mr
publisher
series
Springer Monographs in Mathematics
title
Hahn Class: Definitions
Hypergeometric orthogonal polynomials and their q-analogues
comment
In mathematics, the continuous ...... als Qn(x;α,β, N;q), and so on.
@en
连续哈恩多项式由下列超几何函数定义：
@zh
label
Continuous Hahn polynomials
@en
连续哈恩多项式
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