J. Aust. Math. Soc.  79 (2005), 319-333

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

Hirofumi Tsumura   Department of Mathematics   Tokyo Metropolitan University   1-1, Minami-Osawa, Hachioji   Tokyo 192-0397   Japan   tsumura@tmca.ac.jp

Abstract

In 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.

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