A class of logarithmically completely monotonic functions related to the gamma function with applications
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Publication:3166779
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
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
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