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Construction of the Type 2 Degenerate Multi-Poly-Euler Polynomials and Numbers
: Received: 29 August 2020 / Approved: 31 August 2020 / Online: 31 August 2020 (05:15:55 CEST)
A peer-reviewed article of this Preprint also exists.
Journal reference: Symmetry 2020, 12, 1691
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.
Euler polynomials; Degenerate multi-polyexponential functions; Degenerate multi-poly-Euler polynomials; Degenerate Stirling numbers; Degenerate Whitney numbers
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