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

In mathematics, the continuous dual ''q''-Hahn polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties.
==Definition==

The polynomials are given in terms of basic hypergeometric functions and the Pochhammer symbol by 〔Mesuma Atakishiyeva,Natig Atakishieyev,A NON STANDARD GENERATING FUNCTION FOR CONTINUOS DUAL Q-HAHN POLYNOMIALS,REVISTA DE MATEMATICA 2011 18(1):111-120〕
p_n(x;a,b,c|q)=\frac
*_3\Phi_2(q^-n,ae^,ae^;ab,ac|q;q)
In which x=cos(\theta)

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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