A Parametric Unified Apostol-type Bernoulli, Euler, Genocchi, Fubini Polynomials and Numbers

Abstract

In [1], Acala, N. G., introduced and investigated a unification of the generalized multiparameter Apostol-type Bernoulli, Euler, Genocchi and Fubini polynomials of higher order. In [8], 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, wegive summation formula for these polynomials.