A Set of Mathematical Constants Arising Naturally in the Theory of the Multiple Gamma Functions

We introduce a set of mathematical constants which is involved naturally in the theory of multiple Gamma functions. Then we present general asymptotic inequalities for these constants whose special cases are seen to contain all results very recently given in Chen 2011.

Bibliographic Details
Main Author: Junesang Choi
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/121795
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spelling doaj-99467389b38a432895a9ae033cdd92b82020-11-25T01:08:50ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/121795121795A Set of Mathematical Constants Arising Naturally in the Theory of the Multiple Gamma FunctionsJunesang Choi0Department of Mathematics, Dongguk University, Gyeongju 780-714, Republic of KoreaWe introduce a set of mathematical constants which is involved naturally in the theory of multiple Gamma functions. Then we present general asymptotic inequalities for these constants whose special cases are seen to contain all results very recently given in Chen 2011.http://dx.doi.org/10.1155/2012/121795
collection DOAJ
language English
format Article
sources DOAJ
author Junesang Choi
spellingShingle Junesang Choi
A Set of Mathematical Constants Arising Naturally in the Theory of the Multiple Gamma Functions
Abstract and Applied Analysis
author_facet Junesang Choi
author_sort Junesang Choi
title A Set of Mathematical Constants Arising Naturally in the Theory of the Multiple Gamma Functions
title_short A Set of Mathematical Constants Arising Naturally in the Theory of the Multiple Gamma Functions
title_full A Set of Mathematical Constants Arising Naturally in the Theory of the Multiple Gamma Functions
title_fullStr A Set of Mathematical Constants Arising Naturally in the Theory of the Multiple Gamma Functions
title_full_unstemmed A Set of Mathematical Constants Arising Naturally in the Theory of the Multiple Gamma Functions
title_sort set of mathematical constants arising naturally in the theory of the multiple gamma functions
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description We introduce a set of mathematical constants which is involved naturally in the theory of multiple Gamma functions. Then we present general asymptotic inequalities for these constants whose special cases are seen to contain all results very recently given in Chen 2011.
url http://dx.doi.org/10.1155/2012/121795
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AT junesangchoi setofmathematicalconstantsarisingnaturallyinthetheoryofthemultiplegammafunctions
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