On an Exact Relation between ζ″(2) and the Meijer
Instituto Universitario de Matemática Multidisciplinar, Building 8G, 2o Floor, Camino de Vera, Universitat Politècnica de València, 46022 Valencia, Spain
Received: 25 March 2019 / Revised: 12 April 2019 / Accepted: 15 April 2019 / Published: 24 April 2019
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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
. Using the standard approach based upon the Euler-MacLaurin summation, we can write these coefficients as
plus a relatively smaller contribution,
. The dominant part yields the well-known Riemann’s zeta pole at
. We discuss some recurrence relations that can be proved from this standard approach in order to evaluate
in terms of the Euler and Glaisher-Kinkelin constants and the Meijer
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MDPI and ACS Style
Acedo, L. On an Exact Relation between ζ″(2) and the Meijer
-Functions. Mathematics 2019, 7, 371.
Acedo L. On an Exact Relation between ζ″(2) and the Meijer
-Functions. Mathematics. 2019; 7(4):371.
Acedo, Luis. 2019. "On an Exact Relation between ζ″(2) and the Meijer
-Functions." Mathematics 7, no. 4: 371.
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