Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2014; 51(2): 401-408

Printed March 31, 2014

https://doi.org/10.4134/BKMS.2014.51.2.401

Copyright © The Korean Mathematical Society.

On the multiple Hurwitz-Euler eta functions and the sums of products of the Euler numbers

Jin-Woo Son

Kyungnam University

Abstract

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We establish a new approach for the sums of products of the Euler numbers by using the relation of values at non-positive integers of the representation of the multiple Hurwitz-Euler eta function in terms of the Hurwitz-Euler eta function.

Keywords: Euler numbers, Hurwitz-Euler eta function, multiple Hurwitz-Euler eta function, sums of products

MSC numbers: 11B68

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