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
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
收藏
页码:118 / 134
页数:17
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