Explicit solution of a class of Riemann–Hilbert problems
Abstract
Analytical solutions to a special class of Riemann–Hilbert boundary value problems on multiply connected domains are presented. The solutions are expressed, up to a finite number of accessory parameters, as non-singular indefinite integrals whose integrands are expressed in terms of the Schottky–Klein prime function associated with the Schottky double of the planar domain.
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