Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

A Note on a New Type of Degenerate poly-Euler Numbers and Polynomials

Version 1 : Received: 8 July 2020 / Approved: 10 July 2020 / Online: 10 July 2020 (03:39:58 CEST)

How to cite: Khan, W. A Note on a New Type of Degenerate poly-Euler Numbers and Polynomials. Preprints 2020, 2020070202 (doi: 10.20944/preprints202007.0202.v1). Khan, W. A Note on a New Type of Degenerate poly-Euler Numbers and Polynomials. Preprints 2020, 2020070202 (doi: 10.20944/preprints202007.0202.v1).

Abstract

Kim-Kim [12] introduced the new type of degenerate Bernoulli numbers and polynomials arising from the degenerate logarithm function. In this paper, we introduce a new type of degenerate poly-Euler polynomials and numbers, are called degenerate poly-Euler polynomials and numbers, by using the degenerate polylogarithm function and derive several properties on the degenerate poly-Euler polynomials and numbers. In the last section, we also consider the degenerate unipoly-Euler polynomials attached to an arithmetic function, by using the degenerate polylogarithm function and investigate some identities of those polynomials. In particular, we give some new explicit expressions and identities of degenerate unipoly polynomials related to special numbers and polynomials.

Subject Areas

degenerate polylogarithm functions; degenerate poly-Euler polynomials; degenerate unipoly functions; degenerate unipoly-Euler polynomials

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