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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 -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.
Bedoya et al. (Thu,) studied this question.