Recurrence Relations for Wronskian Hermite Polynomials

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Bonneux, N., Stevens, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209524
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Recurrence Relations for Wronskian Hermite Polynomials / N. Bonneux, M. Stevens // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 32 назв. — англ.

We consider polynomials that are defined as Wronskians of certain sets of Hermite polynomials. Our main result is a recurrence relation for these polynomials in terms of those of one or two degrees smaller, which generalizes the well-known three-term recurrence relation for Hermite polynomials. The...