MONODROMY REPRESENTATIONS ASSOCIATED WITH APPELL' S HYPERGEOMETRIC FUNCTION <i>F</i><sub>1</sub> USING INTEGRALS OF A MULTIVALUED FUNCTION

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  • MONODROMY REPRESENTATIONS ASSOCIATED WITH APPELL' S HYPERGEOMETRIC FUNCTION F1 USING INTEGRALS OF A MULTIVALUED FUNCTION

Abstract

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.

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