On solving the second basic three-element boundary-value Carleman-type problem in classes of bianalytic functions in a disk

In this paper, we investigate one of the basic Carleman-type boundary-value problems for bianalytic functions. We obtain a constructive method for solving the problem in the case of circular domain. We establish that solving the problem can be reduced to a sequential solving two generalized Carleman-type problems for analytic functions in a disk. __________ Translated from Lietuvos Matematikos Rinkinys, Vol. 46, No. 3, pp. 413–426, July–September, 2006.