Certain properties on Bell-based Apostol-type Frobenius-Genocchi polynomials of complex variable

Abstract

In this study, we introduce sine and cosine Bell-based Frobenius-type Genocchi polynomials, and by presenting several relations and applications, we analyze certain properties. Our first step is to obtain diverse relations and formulas that cover summation formulas, addition formulas, relations with earlier polynomials in the literature, and differentiation rules. Finally, after determining the first few zero values of the Frobenius-type Genocchi polynomials, we draw graphical representations of these zero values.