English

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

Combinatorics 2018-02-27 v1

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.

Keywords

Cite

@article{arxiv.1802.09003,
  title  = {A generating function for the Euler numbers of the second kind and its application},
  author = {Dmitry V. Kruchinin and Vladimir V. Kruchinin},
  journal= {arXiv preprint arXiv:1802.09003},
  year   = {2018}
}
R2 v1 2026-06-23T00:32:41.610Z