On the Laplace transform of absolutely monotonic functions

DOI10.1007/S00025-016-0638-4zbMath1386.44001arXiv1612.02257OpenAlexW2560810929MaRDI QIDQ1682545

Stamatis Koumandos, Henrik Laurberg Pedersen

Publication date: 30 November 2017

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.02257

zbMATH Keywords

Laplace transformabsolutely monotonic functioncompletely monotonic function of positive order

Mathematics Subject Classification ID

Laplace transform (44A10) Generalized hypergeometric series, ({}_pF_q) (33C20) Monotonic functions, generalizations (26A48) Remainders in approximation formulas (41A80)

Related Items (4)

General fractional calculus and Prabhakar's theory ⋮ Log-concavity and Turán-type inequalities for the generalized hypergeometric function ⋮ Inequalities for some basic hypergeometric functions ⋮ On generalized Stieltjes functions

Cites Work

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• Real-variables characterization of generalized Stieltjes functions
• Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function
• On asymptotic expansions of generalized Stieltjes functions
• Positive Integrals of Bessel Functions
• The Stieltjes Transform
• What is the Laplace Transform?
• Bernstein functions. Theory and applications

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