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Chapter and Conference Paper
Conformal Mapping of Circular Multiply Connected Domains Onto Domains with Slits
The conformal mapping of the square with circular disjoint holes onto the square with disjoint slits is constructed. This conformal mapping is considered as a solution of the Riemann–Hilbert problem for a mult...
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Book and Conference Proceedings
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Book and Conference Proceedings
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Chapter
Poincaré \(\boldsymbol{\alpha }\) -Series for Classical Schottky Groups
The Poincaré α-series ( \(\alpha \in {\mathbb{R}}^{n}\) ) for classical Schottky groups are introduced and used to solve Riemann–Hilbert ...
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Chapter
Scalar Riemann–Hilbert Problem for Multiply Connected Domains
We solve the scalar Riemann–Hilbert problem for circular multiply connected domains. The method is based on the reduction of the boundary value problem to a system of functional equations (without integral ter...
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Chapter and Conference Paper
ℝ-linear and Riemann–Hilbert Problems for Multiply Connected Domains
The ℝ-linear problem with constant coefficients for arbitrary multiply connected domains has been solved. The method is based on reduction of the problem to a system of functional equations for a circular doma...