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The homogeneous Riemann boundary-value problem with infinite index on a curvilinear contour. I

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References

  1. N. I. Akhiezer, “On formulas for inversion of singular integrals,” Izv. Akad. Nauk SSSR, Ser. Mat.,9, 275–290 (1945).

    MATH  MathSciNet  Google Scholar 

  2. N. V. Govorov, The Riemann Boundary-Value Problem with Infinite Index [in Russian], Moscow (1986).

  3. F. D. Gakhov, Boundary-Value Problems [in Russian], Moscow (1977).

  4. S. V. Rogozin, “Boundary-value problems with singular integral equations with infinite index,” Scientific Proceedings of the Jubilee Seminar on Boundary-Value Problems [in Russian], Minsk (1985), pp. 95–103.

  5. I. V. Ostrovskii, “Conditions for solvability of the homogeneous Riemann boundary-value problem with infinite index,” Teoriya Funktsii, Funktion. Analiz i Ikh Prilozh., No. 55, 20–37 (1991).

    Google Scholar 

  6. A. G. Alekhno, “The inhomogeneous Riemann boundary-value problem with infinite index on a Lyapunov curve,” Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk, No. 1, 51–57 (1980).

    MATH  MathSciNet  Google Scholar 

  7. A. G. Alekhno, “The Riemann boundary-value problem with infinite index in the case of a multidirectional vortex,” Dokl. Akad. Nauk BSSR,25, No. 8, 681–684 (1981).

    MATH  MathSciNet  Google Scholar 

  8. A. G. Alekhno, “The homogenous Riemann boundary-value problem with infinite index of arbitrary exponential order,” Dokl. Akad. Nauk BSSR,32, No. 2, 112–115 (1988).

    MATH  MathSciNet  Google Scholar 

  9. E. A. Danilov, “The homogeneous Riemann boundary-value problem with infinite index of exponential order on a logarithmic spiral,” in: Integral and Differential Equations and Approximate Solutions [in Russian], Élista (1985).

  10. S. K. Balashov, “On entire functions of finite order with foots on curves of proper rotation,” Izv. Akad. Nauk SSSR, Ser. Mat.,37, 603–629 (1973).

    MathSciNet  Google Scholar 

  11. A. A. Gol'dberg and I. V. Ostrovskii, The Distribution of Values of Meromorphic Functions [in Russian], Moscow (1972).

  12. M. A. Evgrafov, Asymptotic Estimates and Entire Functions [in Russian], Moscow (1962).

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  1. I. V. Ostrovskii
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Translated from Teoriya Funktsii Funktsional'nyi Analiz i Ikh Prilozheniya, No. 56, pp. 95–105, 1991.

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Ostrovskii, I.V. The homogeneous Riemann boundary-value problem with infinite index on a curvilinear contour. I. J Math Sci 76, 2517–2524 (1995). https://doi.org/10.1007/BF02364909

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  • DOI: https://doi.org/10.1007/BF02364909

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