From Heun Class Equations to Painlevé Equations

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2021
• Hauptverfasser: Dereziński, Jan, Ishkhanyan, Artur, Latosiński, Adam
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2021
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211367
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: From Heun Class Equations to Painlevé Equations. Jan Dereziński, Artur Ishkhanyan and Adam Latosiński. SIGMA 17 (2021), 056, 59 pages

In the first part of our paper, we discuss linear 2nd order differential equations in the complex domain, especially Heun class equations, that is, the Heun equation and its confluent cases. The second part of our paper is devoted to Painlevé I-VI equations. Our philosophy is to treat these families...