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

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


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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How to Cite
Bedoya D, Ortega M, Ramírez W, Urieles A. New Biparametric Families of Apostol-Frobenius-Euler Polynomials level-m. Mat. Stud. [Internet]. 2021Mar.4 [cited 2021Apr.15];55(1):10-3. Available from: