TY - JOUR AU - Bedoya, D. AU - Ortega, M. AU - Ramírez, W. AU - Urieles, A. PY - 2021/03/04 Y2 - 2024/03/29 TI - New Biparametric Families of Apostol-Frobenius-Euler Polynomials level-m JF - Matematychni Studii JA - Mat. Stud. VL - 55 IS - 1 SE - Articles DO - 10.30970/ms.55.1.10-23 UR - http://www.matstud.org.ua/ojs/index.php/matstud/article/view/70 SP - 10-23 AB - 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. ER -