Some mathematical constants

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摘要

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.

论文关键词: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

论文评审过程:Available online 12 October 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2006.08.091