Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function
type: Item
instance of: scholarly article
title: Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function
zbMATH Open document ID: 1169.33001
author: Stamatis Koumandos
author: Henrik L. Pedersen
published in: Journal of Mathematical Analysis and Applications
publication date: 2009-05-19T00:00:00Z
full work available at URL: https://arxiv.org/abs/0811.2870
review text: The authors establish that the remainders in asymptotic expansions of the logarithms of Barnes double gamma function and Euler's gamma function are (up to a sign) completely monotonic functions of order comparable with the decay of the remainder in the expansions. The main results are given by four theorems.
reviewed by: K. C. Gupta
Mathematics Subject Classification ID: 33B15
Mathematics Subject Classification ID: 33B99
Mathematics Subject Classification ID: 26A48
Mathematics Subject Classification ID: 26A99
zbMATH DE Number: 5555233
zbMATH Keywords: completely monotonic functions of positive order
zbMATH Keywords: Euler's gamma function
zbMATH Keywords: Barnes double gamma function
MaRDI profile type: Publication
OpenAlex ID: W2081972949
arXiv ID: 0811.2870
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DOI: 10.1016/J.JMAA.2009.01.042
description: scientific article