Complete monotonicity and logarithmically complete monotonicity properties for the gamma and psi functions

DOI10.1016/j.jmaa.2007.03.028zbMath1121.33001OpenAlexW2053698688MaRDI QIDQ2381906

Chao-Ping Chen

Publication date: 26 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.03.028

zbMATH Keywords

gamma functionpsi function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15)

Related Items (12)

Monotonicity properties of a function involving the psi function with applications ⋮ Monotonicity properties of functions related to the psi function ⋮ INEQUALITIES AND COMPLETE MONOTONICITY FOR THE GAMMA AND RELATED FUNCTIONS ⋮ Some inequalities and monotonicity properties associated with the gamma and psi functions ⋮ Convexity of quotients of theta functions ⋮ Computation of several Hessenberg determinants ⋮ Sharp bounds for psi function ⋮ Monotonicity results for Dirichlet \(L\)-functions ⋮ Some inequalities and monotonicity properties associated with the gamma and psi functions and the BarnesG-function ⋮ Sharpness and generalization of Jordan, Becker-Stark and Papenfuss inequalities with an application ⋮ Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler–Mascheroni constant ⋮ Some properties of functions related to the gamma and psi functions

Cites Work

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• A complete monotonicity property of the gamma function
• Some properties of the gamma and psi functions, with applications
• Some completely monotonic functions involving the gamma and polygamma functions
• Analytic Inequalities
• What is the Laplace Transform?

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