Some completely monotonic functions involving the gamma and polygamma functions

From MaRDI portal
Publication:5469590

DOI10.1017/S1446788700011393zbMath1094.33002OpenAlexW3022333731MaRDI QIDQ5469590

Bai-Ni Guo, Chao-Ping Chen, Feng Qi

Publication date: 19 May 2006

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700011393



Related Items

A class of logarithmically completely monotonic functions related to the gamma function with applications, Monotonic properties for ratio of the generalized (p,k)-polygamma functions, Complete monotonicity of divided differences of the di- and tri-gamma functions with applications, A class of logarithmically completely monotonic functions and the best bounds in the first Kershaw's double inequality, Logarithmically completely monotonic functions concerning gamma and digamma functions, Wendel's and Gautschi's inequalities: refinements, extensions, and a class of logarithmically completely monotonic functions, A generalization of van der Corput's inequality, Complete monotonicity of some functions involving polygamma functions, Complete monotonicity and logarithmically complete monotonicity properties for the gamma and psi functions, Some exact constants for the approximation of the quantity in the Wallis' formula, INEQUALITIES AND COMPLETE MONOTONICITY FOR THE GAMMA AND RELATED FUNCTIONS, Complete monotonicity related to the \(k\)-polygamma functions with applications, Complete monotonicity of a function involving the ratio of gamma functions and applications, Bounds for the ratio of two gamma functions -- from Wendel's and related inequalities to logarithmically completely monotonic functions, A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS, Some inequalities and monotonicity properties associated with the gamma and psi functions, From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions, Monotonicity, concavity, and inequalities related to the generalized digamma function, A new upper bound in the second Kershaw's double inequality and its generalizations, Complete monotonicity of functions involving the \(q\)-trigamma and \(q\)-tetragamma functions, A one-parameter family of Pick functions defined by the Gamma function and related to the volume of the unit ball in $n$-space, A class of logarithmically completely monotonic functions and the best bounds in the second Kershaw's double inequality, An extension and a refinement of van der Corput's inequality, Supplements to a class of logarithmically completely monotonic functions associated with the gamma function, A new lower bound in the second Kershaw's double inequality, Three classes of logarithmically completely monotonic functions involving gamma and psi functions, Monotonicity results for Dirichlet \(L\)-functions, Bounds for the ratio of two gamma functions, A function involving gamma function and having logarithmically absolute convexity, Sharp inequalities involving \((n!)^{1/n}\), Some uniqueness results for the non-trivially complete monotonicity of a class of functions involving the polygamma and related functions, A class of logarithmically completely monotonic functions and application to the best bounds in the second Gautschi-Kershaw's inequality, The Dagum family of isotropic correlation functions, A class of logarithmically completely monotonic functions associated with the gamma function, Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler–Mascheroni constant, Notes on three conjectures involving the digamma and generalized digamma functions, On complete monotonicity for several classes of functions related to ratios of gamma functions, Complete monotonicity and inequalities related to generalized \(k\)-gamma and \(k\)-polygamma functions, Complete monotonicity of some functions involving k-digamma function with application, Some properties of functions related to the gamma and psi functions, Sharp Inequalities for Polygamma Functions, Some logarithmically completely monotonic functions and inequalities for multinomial coefficients and multivariate beta functions



Cites Work