A Generalization of Hermite Polynomials

access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In this paper, we introduce a simple set ()pnH x , which is a generalized form of Hermite polynomial ()nH x. We establish series form, basic recurrence relations, the pure recurrence relation and Rodrigues type formula for the generalized polynomial