Some inequalities and monotonicity properties associated with the gamma and psi functions and the BarnesG-function
type: Item
instance of: scholarly article
title: Some inequalities and monotonicity properties associated with the gamma and psi functions and the BarnesG-function
zbMATH Open document ID: 1213.33004
DOI: 10.1080/10652469.2010.483899
author: Chao-Ping Chen
author: H. M. Srivastava
published in: Integral Transforms and Special Functions
publication date: 2011-02-09T00:00:00Z
Mathematics Subject Classification ID: 33B15
Mathematics Subject Classification ID: 26A48
Mathematics Subject Classification ID: 26D07
zbMATH DE Number: 5849292
zbMATH Keywords: gamma function
zbMATH Keywords: psi function
zbMATH Keywords: Barnes \(G\)-function
zbMATH Keywords: Riemann zeta function
zbMATH Keywords: completely monotonic function
zbMATH Keywords: absolutely monotonic function
zbMATH Keywords: inequality
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1080/10652469.2010.483899
OpenAlex ID: W2008887716
cites work: Q5558293
cites work: On some properties of the gamma function
cites work: Inequalities for the double gamma function
cites work: Integral representation of some functions related to the gamma function
cites work: Q3229718
cites work: Complete monotonicity and logarithmically complete monotonicity properties for the gamma and psi functions
cites work: Some properties of functions related to the gamma and psi functions
cites work: Sums associated with the zeta function
cites work: Certain classes of series involving the zeta function
cites work: Certain classes of series associated with the zeta function and multiple gamma functions
cites work: A certain class of series associated with the zeta function
cites work: A family of log-gamma integrals and associated results
cites work: Some applications of the Gamma and polygamma functions involving convolutions of the Rayleigh functions, multiple Euler sums and log-sine integrals
cites work: Integral representations for the Gamma function, the Beta function, and the Double Gamma function
cites work: Integral Representations for the Euler-Mascheroni Constant γ
cites work: Multiple gamma and related functions
cites work: Series involving the zeta function and multiple Gamma functions
cites work: Q5820721
cites work: Q3879185
cites work: Some integral and asymptotic formulas associated with the Hurwitz zeta function
cites work: One transformation formula related to the Riemann zeta-function
cites work: Some expansions of the exponential integral in series of the incomplete Gamma function
cites work: Q5287501
cites work: Three classes of logarithmically completely monotonic functions involving gamma and psi functions
cites work: A complete monotonicity property of the gamma function
cites work: Logarithmically completely monotonic functions concerning gamma and digamma functions
cites work: A function involving gamma function and having logarithmically absolute convexity
cites work: A class ofk-log-convex functions and their applications to some special functions
cites work: Two logarithmically completely monotonic functions connected with gamma function
cites work: Sums of certain series of the Riemann zeta function
cites work: Further series representations for \(\zeta(2n+1)\)
cites work: Some rapidly converging series for $\zeta (2n+1)$
cites work: Some simple algorithms for the evaluations and representations of the Riemann zeta function at positive integer arguments
cites work: Certain classes of series associated with the Zeta and related functions.
cites work: Remarks on some series expansions associated with certain products of the incomplete Gamma functions
cites work: Series associated with the zeta and related functions
cites work: Completely monotonic and related functions
cites work: Determinants of Laplacians and Multiple Gamma Functions
cites work: Q5846853
cites work: A remark on a class of double inequalities of Batir
cites work: An inequality for ratios of gamma functions
description: scientific article