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 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.

• 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