New biparametric families of apostol-frobenius-euler polynomials of level m
Artículo de revista
Corporación Universidad de la Costa
We introduce two biparametric families of Apostol-Frobenius-Euler polynomials of level-mm. We give some algebraic properties, as well as some other identities which connect these polynomial class with the generalized λλ-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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Ortega, María José; Ramírez, William; Urieles, Alejandro (2021)In this paper, we introduce a new extension of the generalized Apostol-Frobenius-Euler polynomials ℋn[m−1,α](x; c,a; λ; u). We give some algebraic and diﬀerential properties, as well as, relationships between this polynomials ...
Fourier expansion and integral representation generalized Apostol-type Frobenius–Euler polynomials Urieles Guerrero, Alejandro; Ramírez, William; Ortega, María José; Bedoya, Daniel (Corporación Universidad de la Costa, 2020)The main purpose of this paper is to investigate the Fourier series representation of the generalized Apostol-type Frobenius–Euler polynomials, and using the above-mentioned series we find its integral representation. At ...
Ramirez Quiroga, William David; Castilla, Letelier; Urieles Guerrero, Alejandro (Hindawi Limited, 2018-05-22)Through a modification on the parameters associated with generating function of the q-extensions for the Apostol type polynomials of order and level m, we obtain some new results related to a unified presentation of the ...