New biparametric families of apostol-frobenius-euler polynomials of level m

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 pol...

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Autores:
Bedoya, D.
Ortega, M.
Ramírez, W.
Urieles, A.
Tipo de recurso:
Article of journal
Fecha de publicación:
2021
Institución:
Corporación Universidad de la Costa
Repositorio:
REDICUC - Repositorio CUC
Idioma:
eng
OAI Identifier:
oai:repositorio.cuc.edu.co:11323/8005
Acceso en línea:
https://hdl.handle.net/11323/8005
https://doi.org/10.30970/ms.55.1.10-23
https://repositorio.cuc.edu.co/
Palabra clave:
Generalized Apostol-type polynomials
Apostol–frobennius–euler polynomials
Apostol-bernoulli polynomials of higher order
Apostol–genocchi polynomials of higher order
Generalized λ -Stirling numbers of second kind
Rights
openAccess
License
CC0 1.0 Universal
Description
Summary: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.