ASYMPTOTIC EXPANSIONS OF THE MULTIPLE QUOTIENTS OF GAMMA FUNCTIONS WITH APPLICATIONS

被引：14

作者：

Buric, Tomislav ^{[1
]}

Elezovic, Neven ^{[1
]}

Simic, Ratko ^{[1
]}

机构：

[1] Univ Zagreb, Fac Elect Engn & Comp, Zagreb 10000, Croatia

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2013年 / 16卷 / 04期

关键词：

Asymptotic expansion; gamma function; wallis ratio; central multinomial coefficient;

D O I：

10.7153/mia-16-90

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Asymptotic expansions of the multiple quotients of two gamma functions are obtained and analyzed. We apply these results to the hypergeometric function and central multinomial coefficient which leads to the new approximation formulas.

引用

页码：1159 / 1170

页数：12

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