Abstract and Applied Analysis

An Extended Generalized q -Extensions for the Apostol Type Polynomials

Letelier Castilla, William Ramírez, and Alejandro Urieles

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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 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.

Article information

Source
Abstr. Appl. Anal., Volume 2018 (2018), Article ID 2937950, 13 pages.

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

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1537322513

Digital Object Identifier
doi:10.1155/2018/2937950

Mathematical Reviews number (MathSciNet)
MR3827818

Zentralblatt MATH identifier
06929582

Citation

Castilla, Letelier; Ramírez, William; Urieles, Alejandro. An Extended Generalized $q$ -Extensions for the Apostol Type Polynomials. Abstr. Appl. Anal. 2018 (2018), Article ID 2937950, 13 pages. doi:10.1155/2018/2937950. https://projecteuclid.org/euclid.aaa/1537322513


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