Necessary and sufficient conditions for complete monotonicity and monotonicity of two functions defined by two derivatives of a function involving trigamma function

DOI10.2298/AADM191111014QzbMath1499.33012OpenAlexW3208878862MaRDI QIDQ3390791

Feng Qi

Publication date: 25 March 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm191111014q

zbMATH Keywords

monotonicityinequalitynecessary and sufficient conditioncompletely monotonic functionpolygamma function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Laplace transform (44A10) Monotonic functions, generalizations (26A48)

Related Items

Decreasing property and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function, Necessary and sufficient conditions for a difference constituted by four derivatives of a function involving trigamma function to be completely monotonic, Lower bound of sectional curvature of Fisher-Rao manifold of beta distributions and complete monotonicity of functions involving polygamma functions, Decreasing properties of two ratios defined by three and four polygamma functions

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