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Some New Classes of Generalized Apostol-Euler and Apostol-Genocchi Polynomials

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  • R. Tremblay
  • S. Gaboury
  • B.-J. Fugère

Abstract

The main object of this paper is to introduce and investigate two new classes of generalized Apostol-Euler and Apostol-Genocchi polynomials. In particular, we obtain a new addition formula for the new class of the generalized Apostol-Euler polynomials. We also give an extension and some analogues of the Srivastava-Pintér addition theorem obtained in the works by Srivastava and Pintér (2004) and R. Tremblay, S. Gaboury, B.-J. Fugère, and Tremblay et al. (2011). for both classes.

Suggested Citation

  • R. Tremblay & S. Gaboury & B.-J. Fugère, 2012. "Some New Classes of Generalized Apostol-Euler and Apostol-Genocchi Polynomials," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-14, September.
    • Handle: RePEc:hin:jijmms:182785
    DOI: 10.1155/2012/182785
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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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