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arXiv · 1802.09003

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

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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Dmitry V. Kruchinin, Vladimir V. Kruchinin. 2018-02-25. A generating function for the Euler numbers of the second kind and its application. https://arxiv.org/abs/1802.09003

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