A generating function for the Euler numbers of the second kind and its application

2018/02/25 by Dmitry Kruchinin, Dmitry V. Kruchinin, Kruchinin, Dmitry V. +3
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Advanced Mathematical Theories #Advanced Mathematical Theories and Applications #math.CO

paper · pdf · doi:10.48550/arxiv.1802.09003

arxiv created 2018/02/25 · arxiv updated 2018/02/27

Abstract

In the paper, 2 explicit formulas for the Euler numbers of the second kind are obtained. Based on those formulas a exponential generating function is deduced. Using the generating function some well-known and new identities for the Euler number of the second kind are obtained.

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