This paper concerns the investigation of a class of nonlinear singular integral equations with Cauchy kernel under certain conditions. The technique being based on the application of Schauder's fixed ...

Proceedings of the National Academy of Sciences of the United States of America, Vol. 68, No. 9 (Sep., 1971), pp. 2025-2027 (3 pages) A study has been made of Cauchy's problem for a class of abstract ...

A first course in theory of analytic functions of one complex variable: complex differentiability and the Cauchy-Riemann equations, Cauchy Integral Theorem and Cauchy Integral Formula, Taylor and ...

This course will introduce you to the theory of functions of complex variables, which is a core area of mathematics. It is a basic tool in many mathematical theories. We will cover complex numbers and ...