Fuchsian Equations with Three Non-Apparent Singularities

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Eremenko, A., Tarasov, V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209514
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Fuchsian Equations with Three Non-Apparent Singularities / A. Eremenko, V. Tarasov // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 18 назв. — англ.

We show that for every second-order Fuchsian linear differential equation E with n singularities, of which n−3 are apparent, there exists a hypergeometric equation H and a linear differential operator with polynomial coefficients which maps the space of solutions of H into the space of solutions of...