This article is cited in 2 papers

A modification of an approach to the solution of the Hilbert boundary-value problem for an analytic function in a multiconnected circular domain

R. B. Salimov

Chair of Higher Mathemaics, Kazan State University of Architecture and Engineering, Kazan, Russia

Abstract: We propose a modification of author's approach (Russian Mathematics (Iz. VUZ) 44 (2), 58–62 (2000)) to the solution of the Hilbert boundary value problem for an analytic function in a multiconnected circular domain. This approach implies the solution of the corresponding homogeneous problem including the determination of an analytic function from the known boundary values of its argument on circular domain.

Keywords: Hilbert boundary value problem, index of problem, Villat formula, Schwarz operator.

UDC: 517.54

Received: 09.09.2010

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:11, 38–48

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