The additivity of polygamma functions-Reference-Cited by-同舟云学术

The additivity of polygamma functions

Published:2015 Issue:5 Volume:29 Page:1063-1066
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Guo Bai-Ni¹,Qi Feng²,Luo Qiu-Ming³

Affiliation:

1. Henan Polytechnic University, School of Mathematics and Informatics, Jiaozuo City, Henan Province, China

2. Inner Mongolia University for Nationalities, College of Mathematics, Tongliao City, Inner Mongolia Autonomous Region, China + Tianjin Polytechnic University, College of Science, Department of Mathematics, Tianjin City, China

3. Chongqing Normal University, Department of Mathematics, Chongqing City, China

Abstract

In the paper, the authors prove that the functions |?(i)(ex)| for i ? N are subadditive on (ln?i,?) and superadditive on (-?, ln ?i), where ?i ? (0,1) is the unique root of equation 2|?(i)(?)|= ?(i)(?2)|.

Publisher

National Library of Serbia

Subject

General Mathematics

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