A class of logarithmically completely monotonic functions related to the gamma function with applications

DOI10.1080/10652469.2011.611331zbMath1258.26009arXiv0904.4027OpenAlexW3106098354MaRDI QIDQ3166779

Feng Qi, Hari M. Srivastava, Sen-Lin Guo

Publication date: 15 October 2012

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.4027

zbMATH Keywords

gamma functioninequalitiespolygamma functionslogarithmically completely monotonic functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Monotonic functions, generalizations (26A48) Other analytical inequalities (26D20) Inequalities involving other types of functions (26D07)

Related Items (13)

Complete characterizations of the gamma function ⋮ A necessary and sufficient condition for sequences to be minimal completely monotonic ⋮ A certain class of completely monotonic sequences ⋮ Some exact constants for the approximation of the quantity in the Wallis' formula ⋮ Monotonicity, convexity, and inequalities for functions involving gamma function ⋮ Logarithmically completely monotonic functions and applications ⋮ Schur-convexity of the Catalan-Qi function related to the Catalan numbers ⋮ Some conditions for a class of functions to be completely monotonic ⋮ A sharp two-sided inequality for bounding the Wallis ratio ⋮ A class of completely monotonic functions involving the gamma and polygamma functions ⋮ Completely monotonicity of class functions involving the polygamma and related functions ⋮ Some properties of functions related to completely monotonic functions ⋮ A class of logarithmically completely monotonic functions and their applications

Cites Work

• Unnamed Item
• Bounds for the ratio of two gamma functions
• A class of logarithmically completely monotonic functions
• Necessary and sufficient conditions for functions involving the tri- and tetra-gamma functions to be completely monotonic
• A complete monotonicity property of the gamma function
• Supplements to a class of logarithmically completely monotonic functions associated with the gamma function
• Gurland's ratio for the gamma function
• Logarithmically completely monotonic functions relating to the gamma function
• A class of logarithmically completely monotonic functions associated with the gamma function
• Some inequalities and monotonicity properties associated with the gamma and psi functions and the BarnesG-function
• Some limit formulas for the Gamma and Psi (or Digamma) functions at their singularities
• Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler–Mascheroni constant
• On infinitely divisible matrices, kernels, and functions
• Inequalities for Zero-Balanced Hypergeometric Functions
• Three classes of logarithmically completely monotonic functions involving gamma and psi functions
• Necessary and sufficient conditions for two classes of functions to be logarithmically completely monotonic
• Some completely monotonic functions involving the gamma and polygamma functions
• On some inequalities for the gamma and psi functions

This page was built for publication: A class of logarithmically completely monotonic functions related to the gamma function with applications