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

Richard E. Tremblay | Zendy; Sébastien Gaboury | Zendy; B.-J. Fugère | Zendy

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

Author(s) -

Richard E. Tremblay,

Sébastien Gaboury,

B.-J. Fugère

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/182785

Subject(s) - mathematics , orthogonal polynomials , pure mathematics , discrete orthogonal polynomials , classical orthogonal polynomials , difference polynomials , macdonald polynomials , class (philosophy) , algebra over a field , computer science , artificial intelligence

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

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