Remarks on some completely monotonic functions

From MaRDI portal
Publication:852860

DOI10.1016/J.JMAA.2005.12.017zbMath1108.26008OpenAlexW2087707097MaRDI QIDQ852860

Stamatis Koumandos

Publication date: 15 November 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.12.017




Related Items (35)

A more accurate approximation for the gamma functionApproximations for certain hyperbolic functions by partial sums of their Taylor series and completely monotonic functions related to gamma functionAsymptotic expansions and inequalities relating to the gamma functionInequalities and asymptotic expansions associated with the Ramanujan and nemes formulas for the gamma functionSeries representations of the remainders in the expansions for certain functions with applicationsSharp inequalities and asymptotic expansions for the gamma functionInequalities, asymptotic expansions and completely monotonic functions related to the gamma functionSome inequalities and monotonicity properties associated with the gamma and psi functionsSharp bounds for harmonic numbersSome inequalities for the trigamma function in terms of the digamma functionMonotonicity properties, inequalities and asymptotic expansions associated with the gamma functionInequalities and asymptotic expansions related to the volume of the unit ball in \(\mathbb{R}^n\)Two asymptotic expansions for gamma function developed by Windschitl's formulaTurán type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbersPadé approximant related to Ramanujan's formula for the gamma functionPadé approximant related to asymptotics for the gamma functionOn proofs for monotonicity of a function involving the psi and exponential functionsOn Ruijsenaars' asymptotic expansion of the logarithm of the double gamma functionAbsolutely monotonic functions related to Euler's gamma function and Barnes' double and triple gamma functionAn infinite class of completely monotonic functions involving the \(q\)-gamma functionOn a conjecture for trigonometric sums and starlike functions. II.Bounds for the ratio of two gamma functionsMonotonicity of some functions involving the gamma and psi functionsMonotonicity properties related to the ratio of two gamma functionsSome properties of a sequence arising from geometric probability for pairs of hyperplanes intersecting with a convex bodySharp inequalities involving \((n!)^{1/n}\)Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma functionAn inequality for ratios of gamma functionsCompletely monotonic degrees for a difference between the logarithmic and psi functionsQi's conjectures on completely monotonic degrees of remainders of asymptotic formulas of di- and trigamma functionsAn inequality for the beta function with application to pluripotential theoryA class of strongly completely monotonic functions related to gamma functionSharp Inequalities for Polygamma FunctionsAsymptotic formulas and inequalities for the gamma function in terms of the tri-gamma functionBounds for completely monotonic degrees of remainders in asymptotic expansions of the digamma function




Cites Work




This page was built for publication: Remarks on some completely monotonic functions