Hypergeometric Functions
摘要
The Gauss hypergeometric equation is the equation, where the monodromy group demonstrates its full beauty. It connects such domains like regular geometric polyhedra, hyperbolic geometry, elliptic integrals and modular functions. In nineteen century all students and teachers of mathematics knew how the hypergeometric function looks like and how its monodromy is connected with spherical triangles (see the lectures of F. Klein).