New Biparametric Families of Apostol-Frobenius-Euler Polynomials level-m
2021; Volume: 55; Issue: 1 Linguagem: Inglês
10.30970/ms.55.1.10-23
ISSN2411-0620
AutoresDaniel Bedoya, María José Ortega, William Ramírez, Alejandro Urieles,
Tópico(s)Algebraic structures and combinatorial models
ResumoWe 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.
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