Some mathematical constants

Junesang Choi

doi:10.1016/j.amc.2006.08.091

2007-04-01

PRE

Junesang Choi *

DOI：10.1016/j.amc.2006.08.091

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摘要

En 中文

The theory of multiple Gamma functions was studied in about 1900 and has been revived in the study of determinants of Laplacians in the middle or so of 1980s. There are some classes of mathematical constants involved naturally in the Gamma and multiple Gamma functions. Here we introduce those known mathematical constants associated with the Gamma and multiple Gamma functions and will show how they are involved, if possible. (C) 2006 Elsevier Inc. All rights reserved.

Keyword:

Euler-Mascheroni constant

Glaisher-Kinkelin constant

Bendersky-Adamchik constants

determinants of Laplacians

Euler-Maclaurin summation formula

gamma and multiple gamma functions

Riemann and Hurwitz zeta functions

Stirling's formula

期刊

Applied Mathematics and Computation

IF:

3.4

论文数:

2.3W

被引数:

3.3W

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暂无机构信息

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