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Functions of complex variables --- Potential theory (Mathematics) --- Cauchy transform --- Conformal mapping --- Cauchy transform. --- Conformal mapping. --- Functions of complex variables. --- 517.54 --- Conformal mapping and geometric problems in the theory of functions of a complex variable. Analytic functions and their generalizations --- Potential theory (Mathematics). --- 517.54 Conformal mapping and geometric problems in the theory of functions of a complex variable. Analytic functions and their generalizations --- Green's operators --- Green's theorem --- Potential functions (Mathematics) --- Potential, Theory of --- Mathematical analysis --- Mechanics --- Complex variables --- Elliptic functions --- Functions of real variables --- Conformal representation of surfaces --- Mapping, Conformal --- Transformation, Conformal --- Geometric function theory --- Mappings (Mathematics) --- Surfaces, Representation of --- Transformations (Mathematics) --- Cauchy-Hilbert transform --- Cauchy's transform --- Transform, Cauchy