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.
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页码：1325 / 1334
页数：9
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