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MONODROMY REPRESENTATIONS ASSOCIATED WITH THE GAUSS HYPERGEOMETRIC FUNCTION USING INTEGRALS OF A MULTIVALUED FUNCTION

MONODROMY REPRESENTATIONS ASSOCIATED WITH THE GAUSS HYPERGEOMETRIC FUNCTION USING INTEGRALS OF A MULTIVALUED FUNCTION

Monodromy representations on the space of solutions of the Gauss hypergeometric equation are studied by using integrals of a multivalued function. We first establish the fact that any solution of the Gauss hypergeometric equation is expressed by the integral of a multivalued function. Second, we give a necessary and sufficient …