NEW BIPARAMETRIC FAMILIES OF APOSTOL-FROBENIUS-EULER POLYNOMIALS OF LEVEL m

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 λ-Stirling type numbers of the second kind, the generalized Apostol–Bernoulli polyno...

Full description

Autores:
Bedoya, D.
Tipo de recurso:
Fecha de publicación:
2020
Institución:
Universidad del Atlántico
Repositorio:
Repositorio Uniatlantico
Idioma:
eng
OAI Identifier:
oai:repositorio.uniatlantico.edu.co:20.500.12834/886
Acceso en línea:
https://hdl.handle.net/20.500.12834/886
Palabra clave:
generalized Apostol-type polynomials; Apostol–Frobennius–Euler polynomials; Apostol-Bernoulli polynomials of higher order; Apostol–Genocchi polynomials of higher order; generaized λ-Stirling numbers of second kind.
Rights
openAccess
License
http://purl.org/coar/access_right/c_abf2
Description
Summary: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 λ-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.