# Exceptional Hahn and Jacobi polynomials with an arbitrary number of continuous parameters

@article{Duran2021ExceptionalHA, title={Exceptional Hahn and Jacobi polynomials with an arbitrary number of continuous parameters}, author={Antonio J. Dur'an}, journal={Studies in Applied Mathematics}, year={2021}, volume={148}, pages={606 - 650} }

We construct new examples of exceptional Hahn and Jacobi polynomials. Exceptional polynomials are orthogonal polynomials with respect to a measure which are also eigenfunctions of a second‐order difference or differential operator. In mathematical physics, they allow the explicit computation of bound states of rational extensions of classical quantum‐mechanical potentials. The most apparent difference between classical or classical discrete orthogonal polynomials and their exceptional…

## 2 Citations

### Exceptional Gegenbauer polynomials via isospectral deformation

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In this paper, we show how to construct exceptional orthogonal polynomials (XOP) using isospectral deformations of classical orthogonal polynomials. The construction is based on confluent Darboux…

### Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters

- MathematicsJournal of Approximation Theory
- 2022

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