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Pollaczek polynomials : ウィキペディア英語版
Meixner–Pollaczek polynomials

In mathematics, the Meixner–Pollaczek polynomials are a family of orthogonal polynomials ''P''(''x'',φ) introduced by , which up to elementary changes of variables are the same as the Pollaczek polynomials ''P''(''x'',''a'',''b'') rediscovered by in the case λ=1/2, and later generalized by him.
They are defined by
:P_n^(x;\phi) = \frace^(\cos \phi;a,b) = \frace^
and the orthogonality is given by
:\int_^P_n^(x;\phi)P_m^(x;\phi)w(x; \lambda, \phi)dx=\frac\delta_
==See also==

*Sieved Pollaczek polynomials

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Meixner–Pollaczek polynomials」の詳細全文を読む



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