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 143, Pages 81–86 (Mi into264)  
This article is cited in 2 scientific papers (total in 2 papers)

On univalent mappings performed by the generalized Christoffel–Schwarz formula

P. L. Shabalin, E. N. Karabasheva

Kazan State University of Architecture and Engineering
Full-text PDF (172 kB) Citations (2)
Abstract: We examine the existence of an univalent mapping of the upper half-plane with a fixed set of preimages of vertices to a polygonal domain.
Keywords: Hilbert boundary-value problem, Christoffel–Schwarz integral, vortex at infinity, univalent function.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00351-a
This work was partially supported by the Russian Foundation for Basic Research (project No. 14-01-00351-a).
English version:
Journal of Mathematical Sciences, 2020, Volume 245, Issue 1, Pages 83–88
DOI: https://doi.org/10.1007/s10958-020-04678-4
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 30C20
Language: Russian
Citation: P. L. Shabalin, E. N. Karabasheva, “On univalent mappings performed by the generalized Christoffel–Schwarz formula”, Differential equations. Mathematical analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 143, VINITI, M., 2017, 81–86; Journal of Mathematical Sciences, 245:1 (2020), 83–88
Citation in format AMSBIB
\Bibitem{ShaKar17}
\by P.~L.~Shabalin, E.~N.~Karabasheva
\paper On univalent mappings performed by the generalized Christoffel--Schwarz formula
\inbook Differential equations. Mathematical analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 143
\pages 81--86
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into264}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801361}
\zmath{https://zbmath.org/?q=an:07248387}
\transl
\jour Journal of Mathematical Sciences
\yr 2020
\vol 245
\issue 1
\pages 83--88
\crossref{https://doi.org/10.1007/s10958-020-04678-4}
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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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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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