d-Orthogonal Analogs of Classical Orthogonal Polynomials

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2018
• 1. Verfasser: Horozov, E.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут математики НАН України 2018
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/209787
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: d-Orthogonal Analogs of Classical Orthogonal Polynomials / E. Horozov // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 64 назв. — англ.

Classical orthogonal polynomial systems of Jacobi, Hermite, and Laguerre have the property that the polynomials of each system are eigenfunctions of a second order ordinary differential operator. According to a famous theorem by Bochner, they are the only systems on the real line with this property....