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An Extended Generalized -Extensions for the Apostol Type Polynomials

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  • Letelier Castilla
  • William Ramírez
  • Alejandro Urieles

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.

Suggested Citation

  • Letelier Castilla & William Ramírez & Alejandro Urieles, 2018. "An Extended Generalized -Extensions for the Apostol Type Polynomials," Abstract and Applied Analysis, Hindawi, vol. 2018, pages 1-13, July.
    • Handle: RePEc:hin:jnlaaa:2937950
    DOI: 10.1155/2018/2937950
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    Cited by:

    1. Clemente Cesarano & William Ramírez & Stiven Díaz & Adnan Shamaoon & Waseem Ahmad Khan, 2023. "On Apostol-Type Hermite Degenerated Polynomials," Mathematics, MDPI, vol. 11(8), pages 1-13, April.

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