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

M. A. Pathan | Zendy; Waseem Ahmad Khan | Zendy

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

Author(s) -

M. A. Pathan,

Waseem Ahmad Khan

Publication year - 2015

Publication title -

fasciculi mathematici

Language(s) - English

Resource type - Journals

ISSN - 0044-4413

DOI - 10.1515/fascmath-2015-0020

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

In this paper, we introduce a new class of generalized Apostol-Hermite-Euler polynomials and Apostol-Hermite-Genocchi polynomials and derive some implicit summation formulae by applying the generating functions. These results extend some known summations and identities of generalized Hermite-Euler polynomials studied by Dattoli et al, Kurt and Pathan.

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