New Biparametric Families of Apostol-Frobenius-Euler Polynomials level-m

D. Bedoya; M. Ortega; W. Ramírez; A. Urieles

doi:10.30970/ms.55.1.10-23

D. Bedoya
M. Ortega Universidad de la Costa
W. Ramírez
A. Urieles Universidad del Atlántico

DOI: https://doi.org/10.30970/ms.55.1.10-23

Keywords: generalized Apostol-type polynomials, Apostol–Frobennius–Euler polynomials, Apostol-Bernoulli polynomials of higher order, Apostol–Genocchi polynomials of higher order, generalized $\lambda$-Stirling numbers of second kind

Abstract

We introduce two biparametric families of Apostol-Frobenius-Euler polynomials of level-$m$. We give some algebraic properties, as well as some other identities which connect these polynomial class with the generalized $\lambda$-Stirling type numbers of the second kind, the generalized Apostol--Bernoulli polynomials, the generalized Apostol--Genocchi polynomials, the generalized Apostol--Euler polynomials and Jacobi polynomials. Finally, we will show the differential properties of this new family of polynomials.

Author Biographies

D. Bedoya

Departamento de Ciencias B´asicas, Universidad Metropolitana
Barranquilla, Colombia

M. Ortega, Universidad de la Costa

Departamento de Ciencias Naturales y Exactas, Universidad de la Costa
Barranquilla, Colombia

W. Ramírez

Departamento de Ciencias Naturales y Exactas, Universidad de la Costa
Barranquilla, Colombia

A. Urieles, Universidad del Atlántico

Universidad del Atlántico, Barranquilla, Colombia

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