Incomplete q-Gamma Function and Tricomi Expansion

被引：0

作者：

M. Mansour

机构：

[1] Mansoura University,Faculty of Science, Math. Department

[2] King Khalid University,Faculty of Science, Math. Department

来源：

Journal of Nonlinear Mathematical Physics | 2009年 / 16卷

关键词：

Incomplete ; -gamma function; exponential integral; the ; -Tricomi expansion; basic hypergeometric function; -binomial theorem; -Taylor formula; 33B20; 33E20; 33D15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we introduce a q-analogue of the Tricomi expansion for the incomplete q-gamma function. A general method is described for converting a power series into an expansion in incomplete q-gamma function. Also, we use the q-Tricomi expansion for giving a formal proof of the relation between the incomplete gamma function and the exponential integral. Finally, we formally deduce the q-Tricomi expansion via the q-Taylor expansion.

引用

页码：141 / 150

页数：9

共 8 条

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[4]

Gupta A(2005)Some expansions of the exponential integral in series of the incomplete gamma function, Appl Math. Lett 18 513-520

[5]

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