Two logarithmically completely monotonic functions connected with gamma function

From MaRDI portal
Publication:5481672

DOI10.1080/10652460500422379zbMath1093.33001OpenAlexW1964787564MaRDI QIDQ5481672

Wei Li, Feng Qi, Qiao Yang

Publication date: 10 August 2006

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://vuir.vu.edu.au/18094/




Related Items (21)

Wendel's and Gautschi's inequalities: refinements, extensions, and a class of logarithmically completely monotonic functionsComplete monotonicity of some functions involving polygamma functionsNecessary and sufficient conditions for a class of functions and their reciprocals to be logarithmically completely monotonicComplete monotonicity involving some ratios of gamma functionsMonotonicity properties of functions related to the psi functionA class of logarithmically completely monotonic functions associated with a gamma functionA class ofk-log-convex functions and their applications to some special functionsLogarithmically complete monotonicity properties relating to the gamma functionA class of logarithmically completely monotonic functions and the best bounds in the second Kershaw's double inequalityA comparison theorem for two divided differences and applications to special functionsA class of two-sided inequalities involving the psi and polygamma functionsBounds for the ratio of two gamma functionsA function involving gamma function and having logarithmically absolute convexityA class of completely mixed monotonic functions involving the gamma function with applicationsSome inequalities and monotonicity properties associated with the gamma and psi functions and the BarnesG-functionA new asymptotic expansion of a ratio of two gamma functions and complete monotonicity for its remainderComplete monotonicity and inequalites involving Gurland's ratios of gamma functionsInequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler–Mascheroni constantLogarithmically complete monotonicity of ratios of \(q\)-gamma functionsOn Burnside type approximation for the gamma functionComplete monotonicity of the remainder of the asymptotic series for the ratio of two gamma functions




This page was built for publication: Two logarithmically completely monotonic functions connected with gamma function