Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Construction of the Type 2 Degenerate Multi-Poly-Euler Polynomials and Numbers

Version 1 : Received: 29 August 2020 / Approved: 31 August 2020 / Online: 31 August 2020 (05:15:55 CEST)

How to cite: Khan, W.A.; Acikgoz, M.; Duran, U. Construction of the Type 2 Degenerate Multi-Poly-Euler Polynomials and Numbers. Preprints 2020, 2020080706 (doi: 10.20944/preprints202008.0706.v1). Khan, W.A.; Acikgoz, M.; Duran, U. Construction of the Type 2 Degenerate Multi-Poly-Euler Polynomials and Numbers. Preprints 2020, 2020080706 (doi: 10.20944/preprints202008.0706.v1).

Abstract

In this paper, we consider a new class of polynomials which is called the multi-poly-Euler polynomials. Then, we investigate their some properties and relations. We provide that the type 2 degenerate multi-poly-Euler polynomials equals a linear combination of the degenerate Euler polynomials of higher order and the degenerate Stirling numbers of the first kind. Moreover, we provide an addition formula and a derivative formula. Furthermore, in a special case, we acquire a correlation between the type 2 degenerate multi-poly-Euler polynomials and degenerate Whitney numbers.

Subject Areas

Euler polynomials; Degenerate multi-polyexponential functions; Degenerate multi-poly-Euler polynomials; Degenerate Stirling numbers; Degenerate Whitney numbers

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