An extended generalized q -extensions for the apostol type polynomials
Date
2018-05-22
2018-05-22
Author
Ramirez Quiroga, William David
Castilla, Letelier
Urieles Guerrero, Alejandro
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Abstract
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.
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