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Degenerate Fubini-Type Polynomials and Numbers, Degenerate Apostol-Bernoulli Polynomials and Numbers, and Degenerate Apostol-Euler Polynomials and Numbers

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In this paper, by introducing degenerate Fubini-type polynomials, with the help of the Faà di Bruno formula and some properties of partial Bell polynomials, the authors provide several new explicit… Click to show full abstract

In this paper, by introducing degenerate Fubini-type polynomials, with the help of the Faà di Bruno formula and some properties of partial Bell polynomials, the authors provide several new explicit formulas and recurrence relations for Fubini-type polynomials and numbers, associate the newly defined degenerate Fubini-type polynomials with degenerate Apostol–Bernoulli polynomials and degenerate Apostol–Euler polynomials of order α. These results enable one to present additional relations for some degenerate special polynomials and numbers.

Keywords: type polynomials; degenerate apostol; polynomials numbers; fubini type; numbers degenerate

Journal Title: Axioms
Year Published: 2022

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