Completely monotonic degrees for a difference between the logarithmic and psi functions

DOI10.1016/j.cam.2019.05.001zbMath1482.26016OpenAlexW2899309921WikidataQ127904037 ScholiaQ127904037MaRDI QIDQ2315850

Feng Qi, Ai-Qi Liu

Publication date: 26 July 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2019.05.001

zbMATH Keywords

remainderasymptotic formulaconjecturelogarithmic functionpsi functioncompletely monotonic degree

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Monotonic functions, generalizations (26A48)

Related Items (15)

Convexity and inequalities related to extended beta and confluent hypergeometric functions ⋮ Completely monotonic degree of a function involving trigamma and tetragamma functions ⋮ Completely monotonic integer degrees for a class of special functions ⋮ Monotonicity and inequalities related to complete elliptic integrals of the second kind ⋮ Complete monotonicity for a new ratio of finitely many gamma functions ⋮ Complete monotonicity and inequalities involving the \(k\)-gamma and \(k\)-polygamma functions ⋮ On complete monotonicity of linear combination of finite psi functions ⋮ Some properties of several functions involving polygamma functions and originating from the sectional curvature of the beta manifold ⋮ Some monotonicity properties on \(k\)-gamma function and related inequalities ⋮ Necessary and sufficient conditions for complete monotonicity and monotonicity of two functions defined by two derivatives of a function involving trigamma function ⋮ Qi's conjectures on completely monotonic degrees of remainders of asymptotic formulas of di- and trigamma functions ⋮ Decreasing properties of two ratios defined by three and four polygamma functions ⋮ Monotonicity properties for a ratio of finite many gamma functions ⋮ New properties for the Ramanujan \(R\)-function ⋮ Bounds for completely monotonic degrees of remainders in asymptotic expansions of the digamma function

Uses Software

• DLMF

Cites Work

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