Representation Theory of Algebraic Groups and Related Topics : Proceedings of the workshop on Representation Theory, September 15,16, 2012 JOSAI UNIVERSITY

We give an introduction to the Gauss hypergeometric function, the hypergeometric equation and their properties in an elementary way. Moreover we explicitly and uniformly describe the connection coefficients, the reducibility of the equation and the monodromy group of the solutions.Representation Theory of Algebraic Groups and Related Topics : Proceedings of the workshop on Representation Theory, September 15,16, 2012 JOSAI UNIVERSITY / edited by Masatoshi IIDA, Takeyoshi KOGISO, Haruko NISHI, Kiyoko NISHIZAWA. 2010 Mathematics Subject Classification. Primary 33C05; Secondary 32S40, 34M35. Supported by Grant-in-Aid for Scientific Researches (A), No. 20244008, Japan Society of Promotion of Science