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Continuous dual Hahn polynomials
・ Continuous dual q-Hahn polynomials
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Continuous dual Hahn polynomials : ウィキペディア英語版
Continuous dual Hahn polynomials

In mathematics, the continuous 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
:S_n(x^2;a,b,c)= {}_3F_2(-n,a+ix,a-ix;a+b,a+c;1).\
give a detailed list of their properties.
Closely related polynomials include the dual Hahn polynomials ''R''''n''(''x'';γ,δ,''N''), the continuous Hahn polynomials ''p''''n''(''x'',''a'',''b'', , ), and the Hahn polynomials. These polynomials all have ''q''-analogs with an extra parameter ''q'', such as the q-Hahn polynomials ''Q''''n''(''x'';α,β, ''N'';''q''), and so on.
==Relation to other polynomials==

*Wilson polynomials are a generalization of continuous dual Hahn polynomials

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