A Study on New Type of Degenerate Poly-Cauchy Polynomials and Numbers of the Second Kind

Waseem Khan

doi:10.20944/preprints202007.0161.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 7 July 2020 / Approved: 8 July 2020 / Online: 8 July 2020 (18:51:34 CEST)

Kim-Kim [20] studied the type 2 degenerate poly-Bernoulli numbers and polynomials by using modified degenerate polylogarithm function. In this paper, we construct the new type of degenerate poly-Cauchy polynomials and numbers of the second kind, called the new type of degenerate poly-Cauchy polynomials and numbers of the second kind by using degenerate polylogarithm function and derive several properties on the degenerate poly-Cauchy polynomials and numbers of the second kind. Furthermore, we consider the degenerate unipoly-Cauchy polynomials of the second kind and discuss some properties of them.

Degenerate polylogarithm functions; Degenerate poly-Cauchy polynomials; Degenerate unipoly-Cauchy polynomials

Computer Science and Mathematics, Mathematics

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A Study on New Type of Degenerate Poly-Cauchy Polynomials and Numbers of the Second Kind

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