Geodesic
To a~solution of the homogeneous Riemann--Hilbert boundary-value problem for analytic function in multiconnected circular domain in a~special case
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2014), pp. 75-79

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We present a new approach to solution of the homogeneous Riemann–Hilbert boundary-value problem for analytic function in multiconnected circular domain. This approach is based on definition of analytic function by known boundary values of its argument in a special case.
Keywords: Riemann–Hilbert boundary-value problem, index of a problem, Schwarz's operator. 
@article{IVM_2014_5_a8,
     author = {R. B. Salimov},
     title = {To a~solution of the homogeneous {Riemann--Hilbert} boundary-value problem for analytic function in multiconnected circular domain in a~special case},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {75--79},
     publisher = {mathdoc},
     number = {5},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_5_a8/}
}
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R. B. Salimov. To a~solution of the homogeneous Riemann--Hilbert boundary-value problem for analytic function in multiconnected circular domain in a~special case. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2014), pp. 75-79. http://geodesic.mathdoc.fr/item/IVM_2014_5_a8/