We obtain new explicit forms of the Schwarz integral in the unit circle. By means of superpositions of logarithms we establish criteria for the appearance of singular boundary points and circles in inverse boundary-value ...

We apply two methods for solving the inverse boundary-value problem (the so-called problem (A)) in the Cauchy statement for an analytic function and an unknown curve Γ. We obtain criteria for Γ to be the unit circle. We ...

© 2018, Allerton Press, Inc. We describe possibilities of realizing V. K. Ivanov’s method for solving inverse problems of logarithmic potential and that of A. V. Tsirul’skii’s method for solving direct problems of logarithmic ...