Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2017
• ISSN: 1815-0659
• Main Authors: Odake, S., Sasaki, R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148580
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 Wronski...