Completely monotonic functions involving the gamma and $q$-gamma functions
type: Item
instance of: scholarly article
title: Completely monotonic functions involving the gamma and $q$-gamma functions
zbMATH Open document ID: 1085.33001
DOI: 10.1090/S0002-9939-05-08050-0
author: Arcadii Z. Grinshpan
author: Mourad E. H. Ismail
published in: Proceedings of the American Mathematical Society
publication date: 2006-02-17T00:00:00Z
Mathematics Subject Classification ID: 33B15
Mathematics Subject Classification ID: 33D05
Mathematics Subject Classification ID: 26A48
zbMATH DE Number: 5007248
zbMATH Keywords: gamma function
zbMATH Keywords: \(q\)-gamma function
zbMATH Keywords: completely monotonic functions
zbMATH Keywords: inequalities
zbMATH Keywords: infinitely divisible probability distributions
MaRDI profile type: Publication
cites work: On some inequalities for the gamma and psi functions
cites work: Inequalities for the gamma function
cites work: ON A GAMMA FUNCTION INEQUALITY OF GAUTSCHI
cites work: ON RAMANUJAN'S DOUBLE INEQUALITY FOR THE GAMMA FUNCTION
cites work: On Gautschi's harmonic mean inequality for the gamma function
cites work: Some classes of completely monotonic functions. II
cites work: Q4222737
cites work: Integral representation of some functions related to the gamma function
cites work: On Gamma Function Inequalities
cites work: On Some Gamma Function Inequalities
cites work: Q5824493
cites work: Q3241504
cites work: Q4040884
cites work: Some Elementary Inequalities Relating to the Gamma and Incomplete Gamma Function
cites work: A Harmonic Mean Inequality for the Gamma Function
cites work: Inequalities generated by the gamma function
cites work: General inequalities, consequences and applications
cites work: An integral recursive inequality and applications
cites work: Q5812325
cites work: On infinitely divisible matrices, kernels, and functions
cites work: Completely monotonic functions associated with the gamma function and its q-analogues
cites work: Inequalities and monotonicity properties for gamma and q-gamma functions
cites work: On Wallis' formula
cites work: Some completely monotonic functions involving polygamma functions and an application
cites work: A Note on Gamma Functions
cites work: Q5846853
full work available at URL: s0002-9939-05-08050-0
OpenAlex ID: W1761810493
description: scientific article