Supplements to a class of logarithmically completely monotonic functions associated with the gamma function

DOI10.1016/j.amc.2007.08.011zbMath1139.33300OpenAlexW1971309605MaRDI QIDQ2479252

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

Publication date: 26 March 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.08.011

zbMATH Keywords

gamma functionsupplementspsi functionsufficient and necessary conditionpolygamma functionlogarithmically completely monotonic functionKečkić-Vasić type inequality

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (21)

Complete characterizations of the gamma function ⋮ A class of logarithmically completely monotonic functions related to the gamma function with applications ⋮ A necessary and sufficient condition for sequences to be minimal completely monotonic ⋮ A certain class of completely monotonic sequences ⋮ Affine relation between an infinitely divisible distribution function and its Lévy measure ⋮ Monotonicity properties of functions related to the psi function ⋮ Some exact constants for the approximation of the quantity in the Wallis' formula ⋮ Logarithmically completely monotonic functions and applications ⋮ Complete monotonicity results for some functions involving the gamma and polygamma functions ⋮ Some inequalities and monotonicity properties associated with the gamma and psi functions ⋮ Some conditions for a class of functions to be completely monotonic ⋮ A sharp two-sided inequality for bounding the Wallis ratio ⋮ Bounds for the ratio of two gamma functions ⋮ Continued fraction estimates for the psi function ⋮ A certain function class related to the class of logarithmically completely monotonic functions ⋮ A class of logarithmically completely monotonic functions ⋮ A class of completely monotonic functions involving the gamma and polygamma functions ⋮ Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler–Mascheroni constant ⋮ 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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