A q-Analogue of the Euler Gamma Integral

被引：0

作者：

N. M. Atakishiyev

M. K. Atakishiyeva

机构：

[1] Universidad Nacional Autónoma de México,Instituto de Matemáticas

[2] Universidad Autónoma del Estado Morelos,Facultad de Ciencias

来源：

Theoretical and Mathematical Physics | 2001年 / 129卷

关键词：

Reflection; Integral Representation; Gamma Function; Integral Transformation; Euler Integral;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We discuss q-analogues of the Euler reflection formula and the Euler gamma integral. The central role here is played by the Ramanujan q-extension of the Euler integral representation for the gamma function, which allows deriving the Mellin integral transformations for the q-polynomials of Stieltjes–Wigert, Rogers–Szegö, Laguerre, and Wall, for the alternative q-polynomials of Charlier, and for the little q-polynomials of Jacobi.

引用

页码：1325 / 1334

页数：9

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