A generic classification of exceptional orthogonal X1-polynomials based on Pearson distributions family
Classical Analysis and ODEs
2020-10-23 v1
Abstract
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 distributions family. Then, six special differential equations of the aforesaid classification are introduced and their polynomial solutions are studied in detail.
Keywords
Cite
@article{arxiv.2010.11586,
title = {A generic classification of exceptional orthogonal X1-polynomials based on Pearson distributions family},
author = {Mohammad Masjed-Jamei and Zahra Moalemi},
journal= {arXiv preprint arXiv:2010.11586},
year = {2020}
}
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24 pages