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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 11, Pages 46–57 (Mi ivm8394)  
This article is cited in 2 scientific papers (total 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
Full-text PDF (216 kB) Citations (2)
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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.
Received: 09.09.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 11, Pages 38–48
DOI: https://doi.org/10.3103/S1066369X11110065
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: R. B. Salimov, “A modification of an approach to the solution of the Hilbert boundary-value problem for an analytic function in a multiconnected circular domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 11, 46–57; Russian Math. (Iz. VUZ), 55:11 (2011), 38–48
Citation in format AMSBIB
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\by R.~B.~Salimov
\paper A modification of an approach to the solution of the Hilbert boundary-value problem for an analytic function in a~multiconnected circular domain
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 11
\pages 46--57
\mathnet{http://mi.mathnet.ru/ivm8394}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2963179}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 11
\pages 38--48
\crossref{https://doi.org/10.3103/S1066369X11110065}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856252816}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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