Toward a unified understanding of general hypergeometric functions and general Schlesinger system by twistor theory

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We studied the theory of general hypergeometric functions(HGF) which generalize important special functions, like as Gauss hypergeometric functions, governed by linear differential equations to functions of several variables. We also studied nonlinear differential equations called general Schlesinger systems(GSS), which describe families of linear systems preserving monodromy data, from the point of view of twistor theory. For HGF, we determined the cohomology groups which are defined using the integrand of the integral representation of HGF. For GSS, we constructed its solutions expressed using HGF.