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A differential equation for varying Krall-type orthogonal polynomials
Random Matrices: Theory and Applications ( IF 0.9 ) Pub Date : 2019-05-10 , DOI: 10.1142/s201032632040002x
Galina Filipuk 1 , Juan F. Mañas-Mañas 2
Affiliation  

In this contribution, we consider varying Krall-type polynomials which are orthogonal with respect to a varying discrete Krall-type inner product. Our main goal is to give ladder operators for this family of polynomials as well as to find a second-order differential-difference equation that these polynomials satisfy. We generalize some results that appeared recently in the literature.

中文翻译:

变化 Krall 型正交多项式的微分方程

在这个贡献中,我们考虑了变化的 Krall 类型多项式,这些多项式与变化的离散 Krall 类型内积正交。我们的主要目标是为这一系列多项式提供梯形算子,并找到这些多项式满足的二阶微分方程。我们概括了最近出现在文献中的一些结果。
更新日期:2019-05-10
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