English

Some identities of type 2 Degenerate Bernoulli polynomials of the second kind

Number Theory 2019-08-20 v1

Abstract

I recent years, many mathematicians studied various degenerate version of some spcial polynomials of which quite a few interesting results were discovered. In this paper, we introduce the type 2 degenerate Bernoulli polynomials of the second kind and their higher-order analogues, and study some identities and expressions for these polynomials. Specially, we obtain a relation between the type 2 degenerate Bernoulli polynomials of the second kind and degenerate Bernoulli polynomials of the second kind, and identity involving hihger-order analogues of those polynomials and the degenerate stirling number of the second kin, and and expression of higher-order analogues of those polynomials in terms of the higher-order type 2 degenerate Bernoulli polynomials and the degenerate stirling number of the first kind.

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Cite

@article{arxiv.1908.06587,
  title  = {Some identities of type 2 Degenerate Bernoulli polynomials of the second kind},
  author = {Taekyun Kim and Lee-Chae jang and Dae San Kim and Han-Young Kim},
  journal= {arXiv preprint arXiv:1908.06587},
  year   = {2019}
}

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8 pages