Abstract
This chapter discusses the integrals of the Cauchy type. In solving boundary value problems connected with other differential equations, generalized potentials of various types are employed. For the solution of the boundary value problems of the theory of analytical functions of complex variable, the analogous device is constituted by the integral of the Cauchy type and its various generalizations. Cauchy's formula enables the value of a function to be calculated at any point within a domain if values on the boundary are known; thus, one may say that Cauchy's formula solves the boundary value problem in analytic functions.
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