Very accurate estimates of the polygamma functions

被引：57
作者：
Mortici, Cristinel [1 ]
机构：
[1] Valahia Univ Targoviste, Dept Math, Targoviste 130082, Romania
来源：
ASYMPTOTIC ANALYSIS | 2010年 / 68卷 / 03期
关键词：
gamma function; polygamma functions; completely monotonicity; Bernoulli numbers; GAMMA-FUNCTION; MONOTONIC FUNCTIONS; INEQUALITIES; DIGAMMA;
D O I：
10.3233/ASY-2010-0983
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 give some refinements of an estimation for the polygamma functions, stated in J. Math. Anal. Approx. Theory 1(2) (2006), 124-134. Finally, a general method to establish increasingly accurate estimations is given.
引用
收藏
页码：125 / 134
页数：10
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