Representation by degenerate Frobenius-Euler polynomials

DOI10.1515/GMJ-2022-2167zbMath1510.11079arXiv2109.13700MaRDI QIDQ6378800

Publication date: 28 September 2021

Abstract: The aim of this paper is to represent any polynomial in terms of the degenerate Frobenius-Euler polynomials and more generally of the higher-order degenerate Frobenius-Euler polynomials. We derive explicit formulas with the help of umbral calculus and illustrate our results with some examples.

Mathematics Subject Classification ID

Umbral calculus (05A40) Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Special sequences and polynomials (11B83)

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