Dirichlet Problem for a Generalized Cauchy–Riemann Equation with a Supersingular Point on a Half-Plane

Hilbert boundary value problem for generalized analytic functions with a singular line

“…Soldatov, U.S. Fedorov, Bobodzhanova M.A., and others (for example, [24][25][26][27]). In these papers, the method for solving the boundary value problem for equation ( 1) is based on a reduction to a similar problem for analytic functions.In this case (for example, [28,29]), it is possible to formulate boundary value problems for generalized analytic functions with a singular line, when the coefficients of equation (1) delegate their features to the boundary condition of the problem for analytic functions and turn the latter into a problem with an infinite index. A.B.…”

“…A.B. Rasulov investigated some situations related to this effect, when the boundary value problem of the theory of generalized analytic functions with a finite index has an infinite set of solutions [28,29].…”