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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2013 Number 6, Pages 45–59 (Mi ivm8804)

This article is cited in 2 papers

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

A. V. Fadeev

Chair of Differential Equations, Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Kazan, Russia

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

Keywords: $\mathbb R$-linear conjugation problem, heterogeneous medium, analytic functions, confocal elliptical annulus, Zhukovskii function.

UDC: 532.546

Received: 10.04.2012


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, 57:6, 39–52

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