# Incomplete symmetric orthogonal polynomials of finite type generated by a generalized Sturm–Liouville theorem

@article{MasjedJamei2020IncompleteSO, title={Incomplete symmetric orthogonal polynomials of finite type generated by a generalized Sturm–Liouville theorem}, author={Mohammad Masjed‐Jamei and Zahra Moalemi and Nasser Saad}, journal={Journal of Mathematical Physics}, year={2020}, volume={61}, pages={023501} }

In a classical case, orthogonal polynomial sequences are in such a way that the nth polynomial has the exact degree n. Such sequences are complete and form a basis of the space for any arbitrary polynomial. In this paper, we introduce some incomplete sets of finite orthogonal polynomials that do not contain all degrees, but they are solutions of some symmetric generalized Sturm–Liouville problems. Although such polynomials do not possess all properties as in classical cases, they can be applied…

## 3 Citations

### On a Symmetric Generalization of Bivariate Sturm–Liouville Problems

- MathematicsBulletin of the Iranian Mathematical Society
- 2021

A new class of partial differential equations having symmetric orthogonal solutions is presented. The general equation is presented and orthogonality is obtained using the Sturm–Liouville approach.…

### On a Symmetric Generalization of Bivariate Sturm–Liouville Problems

- MathematicsBulletin of the Iranian Mathematical Society
- 2021

A new class of partial differential equations having symmetric orthogonal solutions is presented. The general equation is presented and orthogonality is obtained using the Sturm–Liouville approach.…

### A generic classification of exceptional orthogonal X1-polynomials based on Pearson distributions family.

- Mathematics
- 2020

The so-called exceptional orthogonal X1-polynomials arise as eigen functions of a Sturm-Liouville problem. In this paper, a generic classification of these polynomials is presented based on Pearson…

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