A class of completely monotonic functions involving the gamma and polygamma functions

DOI10.1080/23311835.2014.982896zbMath1339.33004OpenAlexW2040985232MaRDI QIDQ2813460

Bai-Ni Guo, Feng Qi

Publication date: 24 June 2016

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2014.982896

zbMATH Keywords

gamma functionpolygamma functioncomplete monotonicity

Mathematics Subject Classification ID

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

Related Items (3)

A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS ⋮ Some inequalities for the trigamma function in terms of the digamma function ⋮ Some properties of the divided difference of psi and polygamma functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some properties of a class of functions related to completely monotonic functions
• Bounds for the ratio of two gamma functions -- from Wendel's and related inequalities to logarithmically completely monotonic functions
• Complete monotonicity results for some functions involving the gamma and polygamma functions
• A certain function class related to the class of logarithmically completely monotonic functions
• Bounds for the ratio of two gamma functions
• A class of logarithmically completely monotonic functions
• Convexity, Schur-convexity and bounds for the gamma function involving the digamma function
• Monotonicity properties of the gamma function
• Supplements to a class of logarithmically completely monotonic functions associated with the gamma function
• A completely monotonic function involving the tri- and tetra-gamma functions
• Some uniqueness results for the non-trivially complete monotonicity of a class of functions involving the polygamma and related functions
• Some inequalities and monotonicity properties associated with the gamma and psi functions and the BarnesG-function
• Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler–Mascheroni constant
• Some properties of extended remainder of binet’s first formula for logarithm of gamma function
• A class of logarithmically completely monotonic functions related to the gamma function with applications
• Necessary and sufficient conditions for two classes of functions to be logarithmically completely monotonic
• Some properties of functions related to the gamma and psi functions

This page was built for publication: A class of completely monotonic functions involving the gamma and polygamma functions