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Solution of a problem of ℝ-linear conjugation for confocal elliptical annulus in the class of piecewise meromorphic functions

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Abstract

We consider the problem of disturbance of a complex potential after insertion of a foreign inclusion in the form of a two-phase confocal elliptical annulus into a homogeneous medium. We investigate the cases of an arbitrary distribution of singularities.

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Authors and Affiliations

  1. Kazan (Volga Region) Federal University, ul. Kremlyovskaya 18, Kazan, 420008, Russia

    A. V. Fadeev

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  1. A. V. Fadeev
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Correspondence to A. V. Fadeev.

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Original Russian Text © A.V. Fadeev, 2013, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, No. 6, pp. 45–59.

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Fadeev, A.V. Solution of a problem of ℝ-linear conjugation for confocal elliptical annulus in the class of piecewise meromorphic functions. Russ Math. 57, 39–52 (2013). https://doi.org/10.3103/S1066369X13060054

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  • DOI: https://doi.org/10.3103/S1066369X13060054

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