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Some new classes of generalized Hermite-Based Apostol-Euler and Apostol-Genocchi polynomials

Pathan M. A., Khan W. A.

Fasciculi Mathematici

2015

Nr 55

153--170

In this paper, we introduce a new class of generalized Apostol-Hermite-Euler polynomials and Apostol-Hermi-te-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.