ALGORITHM OF EXACT SOLUTION OF GENERALIZED FOUR-ELEMENT RIEMANN - HILBERT BOUNDARY PROBLEM WITH RATIONAL COEFFICIENTS AND ITS PROGRAMM REALIZATION

An algorithm for an exact solution of the generalized four-element Riemann - Hilbert boundary problem with rational coefficients on unit cirle was suggested. An algorithm is based on a reduction of the problem to the matrix Riemann boundary problem. The Maple procedure for a realization of the algorithm is made. Calculations in the field ${mathbb Q}(i)$ are used.

Keywords

Markushevich boundary problem, generalized four-element Riemann - Hilbert boundary problem, explicit and exact solutions