SOME BOUNDS FOR THE k-GENERALIZED DIGAMMA FUNCTION

被引:0
作者
Moustafa, Hesham [1 ]
Mahmoud, Mansour [2 ]
Talat, Ahmed [3 ]
机构
[1] Mansoura Univ, Math Dept, Mansoura 35516, Egypt
[2] King Abdulaziz Univ, Math Dept, POB 80203, Jeddah 21589, Saudi Arabia
[3] Port Said Univ, Math & Comp Sci Dept, Port Said, Egypt
来源
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2023年 / 72卷 / 04期
关键词
Gamma function; digamma function; polygamma function; completely monotonic function; asymptotic expansion; inequalities; MONOTONICITY; GAMMA;
D O I
10.31801/cfsuasmas.1230703
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We presented some monotonicity properties for the k-generalized digamma function psi k(h) and we established some new bounds for psi(s) k (h), s is an element of N boolean OR {0}, which refine recent results.
引用
收藏
页码:1126 / 1140
页数:15
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