From Conformal Group to Symmetries of Hypergeometric Type Equations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• Main Authors: Dereziński, J., Majewski, P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148546
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: From Conformal Group to Symmetries of Hypergeometric Type Equations / J. Dereziński, P. Majewski // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 48 назв. — англ.

We show that properties of hypergeometric type equations become transparent if they are derived from appropriate 2nd order partial differential equations with constant coefficients. In particular, we deduce the symmetries of the hypergeometric and Gegenbauer equation from conformal symmetries of the...