A q-analogue of the Euler gamma integral

被引：12
|
作者：
Atakishiyev, NM [1 ]
Atakishiyeva, MK
机构：
[1] Univ Nacl Autonoma Mexico, Inst Matemat, Cuernavaca, Morelos, Mexico
[2] Univ Autonoma Estado Morelos, Fac Ciencias, Cuernavaca, Morelos, Mexico
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2001年 / 129卷 / 01期
关键词：
D O I：
10.1023/A:1012459209474
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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-Szego, 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：10
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