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
相关论文
共 20 条
[1]   SHARP BOUNDS FOR THE PSI FUNCTION AND HARMONIC NUMBERS [J].
Batir, Necdet .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2011, 14 (04) :917-925
[2]   One integral in three ways: moments of a quantum distribution [J].
Coffey, MW .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (06) :1425-1431
[3]  
Daiz R., 2007, Divulg. Math., V15, P179
[4]  
Guo B.N., 2014, Analysis, V34, P201, DOI DOI 10.1515/ANLY-2014-0001
[5]   SOME PROPERTIES OF THE k-GAMMA FUNCTION [J].
Kokologiannaki, Chrysi G. ;
Krasniqi, Valmir .
MATEMATICHE, 2013, 68 (01) :13-22
[6]  
Mansour M., 2009, Int. J. Contemp. Math. Sciences, V4, P653
[7]   Summations for certain series containing the digamma function [J].
Miller, AR .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (12) :3011-3020
[8]   On Some Complete Monotonicity of Functions Related to Generalized k-Gamma Function [J].
Moustafa, Hesham ;
Almuashi, Hanan ;
Mahmoud, Mansour .
JOURNAL OF MATHEMATICS, 2021, 2021
[9]   Infinite family of approximations of the Digamma function [J].
Muqattash, I ;
Yahdi, M .
MATHEMATICAL AND COMPUTER MODELLING, 2006, 43 (11-12) :1329-1336
[10]  
Nantomah K., 2014, Electron. J. Math. Anal. Appl., P172