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.

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Bibliographic Details
Published in:Abstract and Applied Analysis 2012-01, Vol.2012 (2012), p.260-270
Main Author: Choi, Junesang
Format: Article
Language:English
Subjects:
Asymptotic properties
Constants
Gamma function
Inequalities
Mathematical analysis
Studies
Theory
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Description
Summary: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/121795