Completely monotonicity of class functions involving the polygamma and related functions

被引：0

作者：

Ravi, B. ^{[1
]}

Lakshmi, A. Venakata ^{[1
]}

机构：

[1] Osmania Univ, Dept Math, Hyderabad 500007, Telangana, India

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2021年 / 14卷 / 04期

关键词：

Gamma function; polygamma function; zeta function; inequalities; open problems; GAMMA; INEQUALITIES;

D O I：

10.1142/S1793557121500649

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the authors prove some inequalities and completely monotonic properties of polygamma functions. As an application, we give lower bound for the zeta function on natural numbers. Partially, we answer the fifth and sixth open problems listed in [F. Qi and R. P. Agarwal, On complete monotonicity for several classes of functions related to ratios of gamma functions, J. Inequalities Appl.2019(36) (2019) 42]. We propose two open problems on completely monotonic functions related to polygamma functions.

引用

页数：11

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