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A Note on the Degenerate Poly-Cauchy Polynomials and Numbers of the Second Kind
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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.
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.
Keywords
polylogarithem function; unipoly function; Cauchy polynomials; poly-Cauchy polynomials; unipoly-Cauchy polynomials
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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