Some completely monotonic functions of positive order

DOI10.1090/S0025-5718-09-02313-8zbMath1194.33003OpenAlexW2091436733MaRDI QIDQ3584844

Martin Lamprecht, Stamatis Koumandos

Publication date: 30 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-09-02313-8

zbMATH Keywords

gamma functionpsi functioncompletely monotonic functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Other analytical inequalities (26D20)

Related Items

Completely monotonic degree of a function involving trigamma and tetragamma functions ⋮ Complete monotonicity and related properties of some special functions ⋮ On complete monotonicity for several classes of functions related to ratios of gamma functions ⋮ Some inequalities involving the polygamma functions ⋮ Completely monotonic degrees for a difference between the logarithmic and psi functions ⋮ Qi's conjectures on completely monotonic degrees of remainders of asymptotic formulas of di- and trigamma functions ⋮ Bounds for completely monotonic degrees of remainders in asymptotic expansions of the digamma function

Cites Work

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