A class of logarithmically completely monotonic functions

DOI10.1016/J.AML.2007.10.028zbMath1202.33002OpenAlexW2050054040MaRDI QIDQ1003564

Hari M. Srivastava, Sen-Lin Guo

Publication date: 4 March 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.10.028

zbMATH Keywords

necessary and sufficient conditionscompletely monotonic functionspolygamma functionsgamma functionslogarithmically completely monotonic functionspsi (or digamma) functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15)

Related Items (15)

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 ⋮ Completely Monotone Functions: A Digest ⋮ Some exact constants for the approximation of the quantity in the Wallis' formula ⋮ Logarithmically completely monotonic functions and applications ⋮ Some inequalities and monotonicity properties associated with the gamma and psi functions ⋮ A substantial improvement of the Stirling formula ⋮ Some conditions for a class of functions to be completely monotonic ⋮ A sharp two-sided inequality for bounding the Wallis ratio ⋮ A certain function class related to the class of logarithmically completely monotonic functions ⋮ A class of completely monotonic functions involving the gamma and polygamma functions ⋮ Some properties of functions related to completely monotonic functions ⋮ A class of logarithmically completely monotonic functions and their applications ⋮ Sharp Inequalities for Polygamma Functions

Cites Work

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• Remarks on some series expansions associated with certain products of the incomplete Gamma functions
• A complete monotonicity property of the gamma function
• Supplements to a class of logarithmically completely monotonic functions associated with the gamma function
• Some expansions of the exponential integral in series of the incomplete Gamma function
• Logarithmically completely monotonic functions relating to the gamma function
• On infinitely divisible matrices, kernels, and functions
• What is the Laplace Transform?

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