Absolutely monotonic functions related to Euler's gamma function and Barnes' double and triple gamma function

Stamatis Koumandos; Henrik Laurberg Pedersen

doi:10.1007/s00605-010-0197-9

Absolutely monotonic functions related to Euler's gamma function and Barnes' double and triple gamma function

Stamatis Koumandos, Henrik Laurberg Pedersen

9 Citationer (Scopus)

Abstract

It is shown that the remainders in asymptotic expansions of the logarithm of Barnes double and triple gamma function and Euler's gamma function are Laplace transformations of positive multiples of absolutely monotonic functions. Applications concerning positivity of sums involving Bernoulli numbers are given.

Originalsprog	Engelsk
Tidsskrift	Monatshefte für Mathematik
Vol/bind	163
Udgave nummer	1
Sider (fra-til)	51-69
Antal sider	19
ISSN	0026-9255
DOI	https://doi.org/10.1007/s00605-010-0197-9
Status	Udgivet - maj 2011

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10.1007/s00605-010-0197-9

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JO - Monatshefte für Mathematik

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Absolutely monotonic functions related to Euler's gamma function and Barnes' double and triple gamma function

Abstract

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