Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 139, Pages 79–90 (Mi into226)  
This article is cited in 1 scientific paper (total in 1 paper)

Hilbert problem for the Cauchy–Riemann equation with a singular circle and a singular point

A. B. Rasulov, M. A. Bobojanova, Yu. S. Fedorov

National Research University "Moscow Power Engineering Institute"
Full-text PDF (211 kB) Citations (1)
Abstract: We examine a generalized Cauchy–Riemann-type system whose coefficients have singularities, construct the resolvent of the corresponding integral equation, and find an integral representation of the general solution.
Keywords: generalized Cauchy–Riemann-type system, singular integral equation, Hilbert problem.
English version:
Journal of Mathematical Sciences, 2019, Volume 241, Issue 3, Pages 327–339
DOI: https://doi.org/10.1007/s10958-019-04427-2
Bibliographic databases:
Document Type: Article
UDC: 517.926.2
MSC: 35F15
Language: Russian
Citation: A. B. Rasulov, M. A. Bobojanova, Yu. S. Fedorov, “Hilbert problem for the Cauchy–Riemann equation with a singular circle and a singular point”, Differential equations. Mathematical physics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 139, VINITI, M., 2017, 79–90; Journal of Mathematical Sciences, 241:3 (2019), 327–339
Citation in format AMSBIB
\Bibitem{RasBobFed17}
\by A.~B.~Rasulov, M.~A.~Bobojanova, Yu.~S.~Fedorov
\paper Hilbert problem for the Cauchy--Riemann equation with a singular circle and a singular point
\inbook Differential equations. Mathematical physics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 139
\pages 79--90
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into226}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3799908}
\zmath{https://zbmath.org/?q=an:1433.30116}
\transl
\jour Journal of Mathematical Sciences
\yr 2019
\vol 241
\issue 3
\pages 327--339
\crossref{https://doi.org/10.1007/s10958-019-04427-2}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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