An Extended Generalized -Extensions for the Apostol Type Polynomials

Letelier Castilla, William Ramírez and Alejandro Urieles

Abstract and Applied Analysis, 2018, vol. 2018, 1-13

Abstract:

Through a modification on the parameters associated with generating function of the -extensions for the Apostol type polynomials of order and level , we obtain some new results related to a unified presentation of the -analog of the generalized Apostol type polynomials of order and level . In addition, we introduce some algebraic and differential properties for the -analog of the generalized Apostol type polynomials of order and level and the relation of these with the -Stirling numbers of the second kind, the generalized -Bernoulli polynomials of level , the generalized -Apostol type Bernoulli polynomials, the generalized -Apostol type Euler polynomials, the generalized -Apostol type Genocchi polynomials of order and level , and the -Bernstein polynomials.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:2937950

DOI: 10.1155/2018/2937950

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