Qi's conjectures on completely monotonic degrees of remainders of asymptotic formulas of di- and trigamma functions

DOI10.1186/s13660-020-02345-5zbMath1503.33002OpenAlexW3029815491WikidataQ123359600 ScholiaQ123359600MaRDI QIDQ2069364

Zhongdi Cen, Aimin Xu

Publication date: 20 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-020-02345-5

zbMATH Keywords

asymptotic formuladigamma functioncomplete monotonicitytrigamma functioncompletely monotonic degree

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Means (26E60) Monotonic functions, generalizations (26A48)

Related Items (5)

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 ⋮ Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios ⋮ Decreasing properties of two ratios defined by three and four polygamma functions ⋮ Bounds for completely monotonic degrees of remainders in asymptotic expansions of the digamma function

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