By starting from the general theory of the one-variable Hermite polynomials, we will introduce a bi-dimensional generalization of them that is useful to obtain a different approach with the harmonic oscillator functions. We will see some interesting properties of this class of Hermite polynomials and we also discuss the related applications on the particular partial differential equations.
A note on Generalized Hermite polynomials
Cesarano C
2014-01-01
Abstract
By starting from the general theory of the one-variable Hermite polynomials, we will introduce a bi-dimensional generalization of them that is useful to obtain a different approach with the harmonic oscillator functions. We will see some interesting properties of this class of Hermite polynomials and we also discuss the related applications on the particular partial differential equations.File in questo prodotto:
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