1. Hermite polynomials, Hermite interpolation, Hermite normal form, Hermitian operators, and cubic Hermite splines are named in his honor.

2. Hermite was a distinguished mathematician who was well-known for his generosity to younger men.

3. Astigmatical transform: smooth transition between Hermite- and Laguerre modes Ince-Gaussian beams Generalized mixed modes Special cases: Parameter a= 0 : Hermite Parameter a= /4 : Laguerre Properties: - Eigenmoden of free spcae propagation - Polynomials complex, no zeros, phase continuous

4. 6 In this paper, transformation of astigmatic Hermite cosh Gaussian beams through an optical symmetrizing system is studied.