A parametric unified Apostol-type Bernoulli, Euler, Genocchi, Fubini polynomials and numbers
Filomat, vol.37, no.19, pp.6307-6317, 2023 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 37 Issue: 19
- Publication Date: 2023
- Doi Number: 10.2298/fil2319307k
- Journal Name: Filomat
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Page Numbers: pp.6307-6317
- Keywords: The Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, Fubini polynomials, Generalized Stirling numbers of the second kind, Parametric unified Apostol-type Bernoulli, Euler, Genocchi and Fubini polynomials, The Three-variable unified Apostol-type Bernoulli, Quasi-monomial princible
- Akdeniz University Affiliated: Yes
Abstract
In recent years, mathemacians ([1], [3], [5], [22], [23]) introduced and investigated the Fubini Apostol-type numbers and polynomials. They gave some recurrence relations explicit properties and identities for these polynomials. In [12], author considered unified degenerate Apostol-type Bernoulli, Euler, Genocchi and Fubini polynomials and gave some relations and identities for these polynomials. In this article, we consider a parametric unified Apostol-type Bernoulli, Euler, Genocchi and Fubini polynomials. By using the monomiality principle, we give some relations for the parametric unified Apostol-type Bernoulli, Euler, Genocchi and Fubini polynomials. Furthermore, we give summation formula for these polynomials.