论文标题
基于Pearson分布家族的特殊正交X1多项式的通用分类
A generic classification of exceptional orthogonal X1-polynomials based on Pearson distributions family
论文作者
论文摘要
所谓的特殊正交X1多项式作为Sturm-Liouville问题的特征函数出现。在本文中，根据Pearson分布家族提出了这些多项式的通用分类。然后，引入了上述分类的六个特殊微分方程，并详细研究了它们的多项式解决方案。
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.
