q,k-generalized gamma and beta functions

被引：64
作者：
Díaz, R
Teruel, C
机构：
[1] Inst Venezolano Invest Cient, Caracas, Venezuela
[2] Cent Univ Venezuela, Caracas, Venezuela
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2005年 / 12卷 / 01期
关键词：
D O I：
10.2991/jnmp.2005.12.1.10
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce the q,k-generalized Pochhammer symbol. We construct Gamma(q,k) and B-q,B-k, the q,k-generalied gamma and beta functions, and show that they satisfy properties that generalize those satisfied by the classical gamma and beta functions. Moreover, we provide integral representations for Gamma(q,k) and B-q,B-k.
引用
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页码：118 / 134
页数：17
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