%0 Journal Article
%T On an Exact Relation between ¦Æ¡å(2) and the Meijer G -Functions
%J Mathematics | An Open Access Journal from MDPI
%D 2019
%R https://doi.org/10.3390/math7040371
%X In this paper we consider some integral representations for the evaluation of the coefficients of the Taylor series for the Riemann zeta function about a point in the complex half-plane £¿ ( s ) > 1 . Using the standard approach based upon the Euler-MacLaurin summation, we can write these coefficients as ¦£ ( n + 1 ) plus a relatively smaller contribution, ¦Î n . The dominant part yields the well-known Riemann¡¯s zeta pole at s = 1 . We discuss some recurrence relations that can be proved from this standard approach in order to evaluate ¦Æ ¡å ( 2 ) in terms of the Euler and Glaisher-Kinkelin constants and the Meijer G -functions. View Full-Tex
%U https://www.mdpi.com/2227-7390/7/4/371