ON ONE EXCEPTIONAL CASE OF THE SECOND MAIN THREE-ELEMENT CARLEMAN TYPE BOUNDARY VALUE PROBLEM FOR BIANALYTIC FUNCTIONS IN A CIRCLE
The article deals with the second main three-element Carleman type problem in the class of functions that are bianalytic inside a contour and continuously extendable to a contour in the sense of Hölder together with their first-order partial derivatives. The unit circle is selected as the contour. A detailed statement of the problem is given, definitions of the non-degenerate and exceptional cases of this problem are given. The previously obtained results are described, as well as the main result for the considered exceptional case of the problem is presented, which consists in the equivalence of the original problem to four Fredholm type equations of the second kind with some additional solvability conditions.