Very accurate estimates of the polygamma functions

被引：58

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

页码：125 / 134

页数：10

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