Degenerate Fubini-type polynomials associated with degenerate Apostol-Bernoulli and Apostol-Euler polynomials of order α

2021/04/18 by Muhammet Cihat Dağlı, Dağli, Muhammet Cihat
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #FOS: Mathematics #Historical Astronomy and Related Studies #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2104.08833

openalex publication_date 2021/04/18 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

In this paper, by introducing the degenerate Fubini-type polynomials, we give several relations with the help of the Faà di Bruno formula and some properties of Bell polynomials, and generating function methods. Also, we derive some new explicit formulas and recurrence relations for Fubini-type polynomials and numbers. Associating the degenerate Fubini-type polynomials newly defined here with degenerate Apostol-Bernoulli polynomials and degenerate Apostol-Euler polynomials of order α enables us to present additional relations for some degenerate special polynomials and numbers.

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