# Analytic aspects of exceptional Hermite polynomials and associated minimal surfaces

@article{Chalifour2020AnalyticAO, title={Analytic aspects of exceptional Hermite polynomials and associated minimal surfaces}, author={V. Chalifour and Alfred Michel Grundland}, journal={arXiv: Mathematical Physics}, year={2020} }

The main aim of this paper is to construct minimal surfaces associated with exceptional Hermite polynomials. That is, we derive an ordinary differential equation associated with a specific family of exceptional polynomials of codimension two. We show that these polynomials can be expressed in terms of classical Hermite polynomials. Based on this fact, we demonstrate that there exists a link between the norm of an exceptional Hermite polynomial and the gap sequence arising from the partition…

## One Citation

Convergence Rates of Exceptional Zeros of Exceptional Orthogonal Polynomials.

- Mathematics
- 2020

We consider the zeros of exceptional orthogonal polynomials (XOP). Exceptional orthogonal polynomials were originally discovered as eigenfunctions of second order differential operators that exist…

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