Probabilistic derivation of a bilinear summation formula for the Meixner-Pollaczek polynominals

Using the technique of canonical expansion in probability theory, a bilinear summation formula is derived for the special case of the Meixner-Pollaczek polynomials {λn(k)(x)} which are defined by the generating function ∑n=0∞λn(k)(x)zn/n!=(1+z)12(x−k)/(1−z)12(x+k),   |z|<1.

Bibliografski detalji

Glavni autor:	P. A. Lee
Format:	Artigo
Jezik:	Inglês
Izdano:	Wiley 1980-01-01
Serija:	International Journal of Mathematics and Mathematical Sciences
Teme:	Meixner-Pollaczek polynomials orthogonal polynomials bilinear summation formula bivariate distribution canonical expansion Runge identity G-functions.
Online pristup:	http://dx.doi.org/10.1155/S0161171280000555
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