Hermite polynomials with more than two variables and associated bi-orthogonal functions

Abstract

We show that under appropriate conditions the Hermite polynomials, with more than two variables, belong to bi-orthogonal sets. We extend the result to the case of Bell-type polynomials.

Keywords:

• Gould Hopper polynomials
• bi-orthogonality
• Bell-type polynomials

Acknowledgements

This article was concluded in the framework of the Italian National Group for Scientific Computation (GNCS).