Uniqueness of Finite Exceptional Orthogonal Polynomial Sequences Composed of Wronskian Transforms of Romanovski-Routh Polynomials

Uniqueness of Finite Exceptional Orthogonal Polynomial Sequences Composed of Wronskian Transforms of Romanovski-Routh Polynomials

This paper exploits two remarkable features of the translationally form-invariant (TFI) canonical Sturm–Liouville equation (CSLE) transfigured by Liouville transformation into the Schrödinger equation with the shape-invariant Gendenshtein (Scarf II) potential. First, the Darboux–Crum net of rational...

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Bibliographic Details
Main Author: Gregory Natanson
Format: Article
Language:English
Published: MDPI AG 2024-02-01
Series:Symmetry
Subjects:
canonical Sturm–Liouville equation
Liouville transformation
shape-invariant potential
Darboux–Crum transformations
Maya diagrams
polynomial Wronskians
Online Access:https://www.mdpi.com/2073-8994/16/3/282

Internet

https://www.mdpi.com/2073-8994/16/3/282

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