Monotonicity of some functions involving the gamma and psi functions

DOI10.1090/S0025-5718-08-02140-6zbMath1210.33002OpenAlexW2008891576MaRDI QIDQ3055069

Stamatis Koumandos

Publication date: 7 November 2010

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-08-02140-6

zbMATH Keywords

Euler gamma functioncompletely monotonic functions

Mathematics Subject Classification ID

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

Related Items (17)

Monotonicity properties of a function involving the psi function with applications ⋮ A class of completely monotonic functions involving the polygamma functions ⋮ Completely monotonic degree of a function involving trigamma and tetragamma functions ⋮ Complete monotonicity results for some functions involving the gamma and polygamma functions ⋮ Sharp bounds for psi function ⋮ On a conjecture for trigonometric sums and starlike functions ⋮ Accurate Estimates of the Gamma Function Involving the PSI Function ⋮ Complete monotonicity and related properties of some special functions ⋮ Some completely monotonic functions of positive order ⋮ On a conjecture for trigonometric sums and starlike functions. II. ⋮ Bounds for the ratio of two gamma functions ⋮ Monotonicity properties related to the ratio of two gamma 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

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