Preprint Article Version 1 This version is not peer-reviewed

A Note on the Degenerate Poly-Cauchy Polynomials and Numbers of the Second Kind

Version 1 : Received: 27 April 2020 / Approved: 28 April 2020 / Online: 28 April 2020 (08:38:36 CEST)

A peer-reviewed article of this Preprint also exists.

Kim, H.K.; Jang, L.-C. A Note on the Degenerate Poly-Cauchy Polynomials and Numbers of the Second Kind. Symmetry 2020, 12, 1066. Kim, H.K.; Jang, L.-C. A Note on the Degenerate Poly-Cauchy Polynomials and Numbers of the Second Kind. Symmetry 2020, 12, 1066.

Journal reference: Symmetry 2020, 12, 1066
DOI: 10.3390/sym12071066

Abstract

Kim(2015) introduced the degenerate Cauchy numbers of the second kind and gave some identities of them. In this paper, by using the modified polyexponential functions which are introduced by Kim-Kim(2019), we define the degenerate poly-Cauchy polynomials of the second kind and investigate some properties of them. Furthermore, we consider the degenerate unipoly-Cauchy polynomials of the second kind and discuss some properties of them.

Subject Areas

polylogarithem function; unipoly function; Cauchy polynomials; poly-Cauchy polynomials; unipoly-Cauchy polynomials

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