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Solution of a singular homogeneous Hilbert boundary-value problem for analytic function in multiply connected circular domain

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Abstract

We offer a new approach for solving the homogeneous Riemann-Hilbert boundary-value problem for analytic function in multiply connected circular domains. The approach is based on determination of analytic function in terms of known boundary values of its argument in a special case.

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References

  1. R. B. Salimov, “Modification of New Approach to Solution of the Hilbert Boundary-Value Problem for Analytic Function in Multiconnected Circular Domain,” Izv. Saratovsk. Univ. Nov. Ser. Matem. Mekhan. Informatika 12(1), 32–38 (2012).

    Google Scholar 

  2. I. N. Vekua, Generalized Analytic Functions (Fizmatgiz, Moscow, 1959).

    MATH  Google Scholar 

  3. F. D. Gakhov, Boundary-Value Problems (Nauka, Moscow, 1977).

    MATH  Google Scholar 

  4. N. I. Muskhelishvili, Singular Integral Equations (Nauka, Moscow, 1968).

    MATH  Google Scholar 

  5. V. V. Mityushew and P. M. Adler, “Schwarz Problem for Multiply Connected Domains and its Application to Diffusion Around Fractal,” Complex Variables 47(4), 303–324 (2002).

    Article  MathSciNet  Google Scholar 

  6. V. A. Il’in and E. R. Poznyak, Linear Algebra (Nauka, Moscow, 1974).

    Google Scholar 

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Authors and Affiliations

  1. Kazan State University of Architecture and Engineering, ul. Zelyonaya 1, Kazan, 420043, Russia

    R. B. Salimov

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  1. R. B. Salimov
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Correspondence to R. B. Salimov.

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Original Russian Text © R.B. Salimov, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 5, pp. 75–79.

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Salimov, R.B. Solution of a singular homogeneous Hilbert boundary-value problem for analytic function in multiply connected circular domain. Russ Math. 58, 63–66 (2014). https://doi.org/10.3103/S1066369X14050090

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  • DOI: https://doi.org/10.3103/S1066369X14050090

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