Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials
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| Creator |
Odake, S.
Sasaki, R. |
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| Description |
The multi-indexed Laguerre and Jacobi polynomials form a complete set of orthogonal polynomials. They satisfy second-order differential equations but not three term recurrence relations, because of the 'holes' in their degrees. The multi-indexed Laguerre and Jacobi polynomials have Wronskian expressions originating from multiple Darboux transformations. For the ease of applications, two different forms of simplified expressions of the multi-indexed Laguerre and Jacobi polynomials are derived based on various identities. The parity transformation property of the multi-indexed Jacobi polynomials is derived based on that of the Jacobi polynomial.
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| Date |
2019-02-18T16:12:55Z
2019-02-18T16:12:55Z 2017 |
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| Type |
Article
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| Identifier |
Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials / S. Odake, R. Sasaki // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 24 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 42C05; 33C45; 34A05 DOI:10.3842/SIGMA.2017.020 http://dspace.nbuv.gov.ua/handle/123456789/148580 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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