Complete monotonicity for a new ratio of finitely many gamma functions

DOI10.1007/s10473-022-0206-9OpenAlexW4210553735MaRDI QIDQ2156733

Feng Qi

Publication date: 20 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-022-0206-9

zbMATH Keywords

gamma functiongenerating functioninequalityBernoulli numberlinear combinationdigamma functioncomplete monotonicityratiotrigamma functionlogarithmic derivative

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Laplace transform (44A10) Monotonic functions, generalizations (26A48) Inequalities involving other types of functions (26D07)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Complete monotonicity of divided differences of the di- and tri-gamma functions with applications
• Necessary and sufficient conditions for a class of functions and their reciprocals to be logarithmically completely monotonic
• Bounds for the ratio of two gamma functions -- from Wendel's and related inequalities to logarithmically completely monotonic functions
• Complete monotonicity of functions involving the \(q\)-trigamma and \(q\)-tetragamma functions
• Integral representations and complete monotonicity of remainders of the binet and Stirling formulas for the gamma function
• Some completely monotonic functions associated with the \(q\)-gamma and the \(q\)-polygamma functions
• Logarithmically complete monotonicity properties relating to the gamma function
• Complete monotonicity of multinomial probabilities and its application to Bernstein estimators on the simplex
• Two closed forms for the Bernoulli polynomials
• Some classes of completely monotonic functions. II
• Bounds for the ratio of two gamma functions
• Properties and applications of a function involving exponential functions
• Complete monotonicity of a function related to the binomial probability
• A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers
• A lower bound for ratio of power means
• A ratio of finitely many gamma functions and its properties with applications
• Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios
• On complete monotonicity for several classes of functions related to ratios of gamma functions
• Monotonicity properties for a ratio of finite many gamma functions
• From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions
• Asymptotic expansions of Gurland's ratio and sharp bounds for their remainders
• Bounds for the ratio of two gamma functions: from Wendel's asymptotic relation to Elezović-Giordano-Pečarić's theorem
• Sharp bounds for the ratio of two zeta functions
• New bounds for the ratio of two adjacent even-indexed Bernoulli numbers
• Completely monotonic degrees for a difference between the logarithmic and psi functions
• On rational bounds for the gamma function
• TWO NEW PROOFS OF THE COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE PSI FUNCTION
• New proofs of weighted power mean inequalities and monotonicity for generalized weighted mean values
• Sharp Gautschi inequality for parameter 0<p<1 with applications
• INEQUALITIES ASSOCIATED WITH RATIOS OF GAMMA FUNCTIONS
• A class of completely mixed monotonic functions involving the gamma function with applications
• On complete monotonicity of linear combination of finite psi functions
• Some logarithmically completely monotonic functions and inequalities for multinomial coefficients and multivariate beta functions
• Some properties of the generalized Gaussian ratio and their applications
• Sharp rational bounds for the gamma function
• Complete monotonicity and inequalites involving Gurland's ratios of gamma functions
• Limit formulas for ratios between derivatives of the gamma and digamma functions at their singularities
• Sharp Inequalities for Polygamma Functions
• Limit formulas related to the p-gamma and p-polygamma functions at their singularities
• Integral representations and properties of some functions involving the logarithmic function
• Analytic Inequalities
• Bernstein functions. Theory and applications

This page was built for publication: Complete monotonicity for a new ratio of finitely many gamma functions