Exceptional Legendre polynomials and confluent Darboux transformations
Exceptional orthogonal polynomials are families of orthogonal polynomials that arise as solutions of Sturm-Liouville eigenvalue problems. They generalize the classical families of Hermite, Laguerre, and Jacobi polynomials by allowing for polynomial sequences that miss a finite number of ''...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
February 20, 2021
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| In: |
Symmetry, integrability and geometry: methods and applications
Year: 2021, Volume: 17, Pages: 1-19 |
| ISSN: | 1815-0659 |
| DOI: | 10.3842/SIGMA.2021.016 |
| Online Access: | Resolving-System, lizenzpflichtig, Volltext: https://doi.org/10.3842/SIGMA.2021.016 Verlag, lizenzpflichtig, Volltext: https://www.emis.de/journals/SIGMA/2021/016/ 
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| Author Notes: | María Ángeles García-Ferrero, David Gómez-Ullate and Robert Milson |
| Summary: | Exceptional orthogonal polynomials are families of orthogonal polynomials that arise as solutions of Sturm-Liouville eigenvalue problems. They generalize the classical families of Hermite, Laguerre, and Jacobi polynomials by allowing for polynomial sequences that miss a finite number of ''exceptional'' degrees. In this paper we introduce a new construction of multi-parameter exceptional Legendre polynomials by considering the isospectral deformation of the classical Legendre operator. |
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| Item Description: | Gesehen am 29.06.2021 |
| Physical Description: | Online Resource |
| ISSN: | 1815-0659 |
| DOI: | 10.3842/SIGMA.2021.016 |