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Zbl 1117.33003
Choi, Junesang
Some mathematical constants.
(English)
[J] Appl. Math. Comput. 187, No. 1, 122-140 (2007). ISSN 0096-3003

This expository paper describes the appearance of various mathematical constants related to the Gamma function and multiple Gamma functions. The most famous of these is Euler's constant $\gamma$, and the author lists many integral and series representations for $\gamma$, as well as infinite product formulas containing $\gamma$. Among other constants treated are the Glaisher-Kinkelin constant $A$, the Bendersky-Adamchik constants $B$ and $C$, and related families of constants.
MSC 2000:
*33B15 Gamma-functions, etc.

Keywords: 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

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