East Asian mathematical journal
- Volume 21 Issue 1
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- Pages.77-103
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- 2005
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
MATHEMATICAL CONSTANTS ASSOCIATED WITH THE MULTIPLE GAMMA FUNCTIONS
-
Jung, Myung-Ho
(Department of Mathematics College of Natural Sciences Pusan National University)
;
- Cho, Young-Joon (Department of Mathematics Education Pusan National University) ;
-
Choi, June-Sang
(Department of Natural Sciences Dongguk University)
- Published : 2005.06.30
Abstract
The theory of multiple Gamma functions was studied in about 1900 and has, recently, been revived in the study of determinants of Laplacians. There is a class of mathematical constants involved naturally in the multiple Gamma functions. Here we summarize those mathematical constants associated with the Gamma and multiple Gamma functions and will show how they are involved, if possible.
Keywords
- Euler-Mascheroni constant;
- Glaisher-Kinkelin constant;
- Determinants of Laplacians;
- Euler-Maclaurin summation formula;
- Gamma and multiple Gamma functions;
- Riemann and Hurwitz Zeta functions;
- Stirling's formula