Completely monotonic functions associated with gamma function and applications

被引：0
|
作者：
Mortici, C. [1 ]
机构：
[1] Valahia Univ, Dept Math, Targoviste 130082, Romania
来源：
CARPATHIAN JOURNAL OF MATHEMATICS | 2009年 / 25卷 / 02期
关键词：
Factorial function; Stirling's formula; completely monotonicity; digamma and polygamma functions; inequalities;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to study the behavior of the functions defined by Gamma(x + 1) = root 2 pi(x/e)(x)e(s(x)) and Gamma(x +1) = root 2 pi((x + 1/2)/e)(x+1/2)e(omega(x)). Aq applications, some inequalities involving the gamma function are obtained. Finally, an estimation of the digarnma function is given.
引用
收藏
页码：186 / 191
页数：6
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