An Extended Generalized q‐Extensions for the Apostol Type Polynomials

Letelier Castilla, William Ramírez and Alejandro Urieles

Abstract and Applied Analysis, 2018, vol. 2018, issue 1

Abstract: Through a modification on the parameters associated with generating function of the q‐extensions for the Apostol type polynomials of order α 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 α and level m. In addition, we introduce some algebraic and differential properties for the q‐analog of the generalized Apostol type polynomials of order α 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 α and level m, and the q‐Bernstein polynomials.

Date: 2018
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https://doi.org/10.1155/2018/2937950

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2018:y:2018:i:1:n:2937950

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