Some new classes of generalized Hermite-Based Apostol-Euler and Apostol-Genocchi polynomials
2015
artykuł naukowy
angielski
- Hermite polynomials
- Apostol-Hermite-Bernoulli polynomials
- Apostol-Hermite-Euler polynomials
- Apostol-Hermite-Genocchi polynomials
- summation formulae
EN 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.
153 - 170
CC BY-NC-ND (uznanie autorstwa - użycie niekomercyjne - bez utworów zależnych)
publiczny
10