Unified degenerate Apostol-type Bernoulli, Euler, Genocchi, and Fubini polynomials

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KURT B.

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, vol.25, no.3, pp.259-268, 2022 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 3
  • Publication Date: 2022
  • Doi Number: 10.22436/jmcs.025.03.05
  • Journal Name: JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.259-268
  • Keywords: The Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi two-variable Fubini polynomials, degenerate Bernoulli polynomials, degenerate Stirling numbers of the second kind, degenerate unified Apostol-type Bernoulli, Euler, Genocchi, Fubini polynomials
  • Akdeniz University Affiliated: Yes

Abstract

Recently, Acala in [N. G. Acala, Eur. J. Pure Appl. Math., 13 (2020), 587-607, N. G. Acala, J. Math. Comput. Sci., 23 (2021), 10-25] introduced and investigated the Apostol-type Bernoulli, Euler, Genocchi and Fubini polynomials. Acala gave some identities and symmetric relations for those polynomials. In this paper, we define the unified degenerate Apostol-type Bernoulli, Euler, Genocchi, and Fubini polynomials. We give identities and recurrence relations, symmetric relation, and summation formulas.