The Riemann boundary value problem in a half-plane for generalized analytic functions with a supersingular line

We study an inhomogeneous Riemann boundary value problem with a finite index and a boundary condition on the real axis for one generalized Cauchy-Riemann equation with a strong coefficient singularity. To solve this problem, it was necessary to derive a structural formula for the general solution of the equation and conduct a complete study of the solvability of the Riemann boundary value problem for analytical functions with an infinite power-order index. Based on this study, a general solution formula and a picture of the solvability of the boundary value problem for generalized analytical functions are derived.