A completely monotonic function involving the tri- and tetra-gamma functions
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Publication:2843877
DOI10.2478/s12175-013-0109-2zbMath1349.26024arXiv1001.4611OpenAlexW1963912938MaRDI QIDQ2843877
Bai-Ni Guo, Feng Qi, Jiao-Lian Zhao
Publication date: 26 August 2013
Published in: Mathematica Slovaca (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1001.4611
Related Items (14)
Some monotonicity properties and inequalities for the generalized digamma and polygamma functions ⋮ Completely monotonic degree of a function involving trigamma and tetragamma functions ⋮ Complete monotonicity of divided differences of the di- and tri-gamma functions with applications ⋮ Complete monotonicity related to the \(k\)-polygamma functions with applications ⋮ A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS ⋮ Some inequalities for the trigamma function in terms of the digamma function ⋮ A Solution to fourth Qi's Conjecture on a complete monotonicity ⋮ Integral representations and complete monotonicity of remainders of the binet and Stirling formulas for the gamma function ⋮ Bounds for the ratio of two gamma functions: from Wendel's asymptotic relation to Elezović-Giordano-Pečarić's theorem ⋮ A class of completely monotonic functions involving the gamma and polygamma functions ⋮ On complete monotonicity for several classes of functions related to ratios of gamma functions ⋮ Complete monotonicity of some functions involving k-digamma function with application ⋮ A class of strongly completely monotonic functions related to gamma function ⋮ Asymptotic formulas and inequalities for the gamma function in terms of the tri-gamma function
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