Geodesic
Modification of new approach to solution of the Hilbert boundary value problem for analytic function in multi-connected circular domain
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 1, pp. 32-38

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The author offers a new approach to the Riemann–Hilbert boundary value problem in multiconnected domain. The approach bases on certain construction of solution of corresponding homogeneous problem including determination of analytic function by known boundary values of its argument circular domain. 
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     author = {R. B. Salimov},
     title = {Modification of new approach to solution of the {Hilbert} boundary value problem for analytic function in multi-connected circular domain},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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R. B. Salimov. Modification of new approach to solution of the Hilbert boundary value problem for analytic function in multi-connected circular domain. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 1, pp. 32-38. http://geodesic.mathdoc.fr/item/ISU_2012_12_1_a5/