MONODROMY REPRESENTATIONS ASSOCIATED WITH APPELL' S HYPERGEOMETRIC FUNCTION F1 USING INTEGRALS OF A MULTIVALUED FUNCTION
Katsuhisa Mimachi, Takeshi Sasaki · Kyushu Journal of Mathematics · 2012
Monodromy representations on the solution space of Appell' s system of differential equations E1 are studied by using integrals of a multivalued function. In particular, we realize the representations in the reducible cases and give a complete list of finite reducible representations.