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2018 An Extended Generalized q -Extensions for the Apostol Type Polynomials
Letelier Castilla, William Ramírez, Alejandro Urieles
Abstr. Appl. Anal. 2018: 1-13 (2018). DOI: 10.1155/2018/2937950

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.

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Letelier Castilla. William Ramírez. Alejandro Urieles. "An Extended Generalized q -Extensions for the Apostol Type Polynomials." Abstr. Appl. Anal. 2018 1 - 13, 2018. https://doi.org/10.1155/2018/2937950

Information

Received: 5 February 2018; Revised: 3 May 2018; Accepted: 22 May 2018; Published: 2018
First available in Project Euclid: 19 September 2018

zbMATH: 06929582
MathSciNet: MR3827818
Digital Object Identifier: 10.1155/2018/2937950

Rights: Copyright © 2018 Hindawi

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