Certain functional relations for the double harmonic series related to the double Euler numbers-Reference-Cited by-同舟云学术

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Certain functional relations for the double harmonic series related to the double Euler numbers

Published:2005-12 Issue:3 Volume:79 Page:319-333
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Tsumura Hirofumi

Abstract

AbstractIn this paper, we give certain analytic functional relations for the double harmonic series related to the double Euler numbers. These can be regarded as continuous generalizations of the known discrete relations obtained by the author recently.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

1. Introduction to Cyclotomic Fields

2. Multiple harmonic series related to multiple Euler numbers

3. On Tornheim's double series

4. On alternating analogues of Tornheim’s double series

5. On some combinatorial relations for Tornheim's double series

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