Complete monotonicity of divided differences of the di- and tri-gamma functions with applications
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Publication:292391
DOI10.1515/gmj-2016-0004zbMath1339.33007arXiv0903.3071OpenAlexW3098325605MaRDI QIDQ292391
Publication date: 8 June 2016
Published in: Georgian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.3071
inequalitynecessary and sufficient conditiondivided differencecompletely monotonic functionpolygamma functionlogarithmically completely monotonic functionratio of two gamma functions
Gamma, beta and polygamma functions (33B15) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48)
Related Items (12)
A class of completely monotonic functions involving the polygamma functions ⋮ Completely monotonic degree of a function involving trigamma and tetragamma functions ⋮ Bounds for Bateman's \(G\)-function and its applications ⋮ Complete monotonicity for a new ratio of finitely many gamma functions ⋮ Some properties of several functions involving polygamma functions and originating from the sectional curvature of the beta manifold ⋮ Lower bound of sectional curvature of Fisher-Rao manifold of beta distributions and complete monotonicity of functions involving polygamma functions ⋮ Some properties of the divided difference of psi and polygamma functions ⋮ New properties of the divided difference of psi and polygamma functions ⋮ On complete monotonicity for several classes of functions related to ratios of gamma functions ⋮ Some completely monotonic functions involving the polygamma functions ⋮ Decreasing properties of two ratios defined by three and four polygamma functions ⋮ Monotonicity properties for a ratio of finite many gamma functions
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