An extended generalized q -extensions for the apostol type polynomials

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 q-analog of the generalized Apostol type polynomials of order and level m. In ad...

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Autores:
Ramirez Quiroga, William David
Castilla, Letelier
Urieles Guerrero, Alejandro
Tipo de recurso:
Article of journal
Fecha de publicación:
2018
Institución:
Corporación Universidad de la Costa
Repositorio:
REDICUC - Repositorio CUC
Idioma:
eng
OAI Identifier:
oai:repositorio.cuc.edu.co:11323/1450
Acceso en línea:
https://hdl.handle.net/11323/1450
https://repositorio.cuc.edu.co/
Palabra clave:
Polynomial
Identity
fermionic p-adic
Rights
openAccess
License
Atribución – No comercial – Compartir igual
Description
Summary: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 q-analog of the generalized Apostol type polynomials of order and level m. In addition, we introduce some algebraic and differential properties for the q-analog of the generalized Apostol type polynomials of order and level m and the relation of these with the q-Stirling numbers of the second kind, the generalized q-Bernoulli polynomials of level m, the generalized q-Apostol type Bernoulli polynomials, the generalized q-Apostol type Euler polynomials, the generalized q-Apostol type Genocchi polynomials of order and level m, and the q-Bernstein polynomials. © 2018 Letelier Castilla et al.