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Matematicheskie Zametki, 1977, Volume 21, Issue 3, Pages 329–334 (Mi mzm7960)  
Mapping of $n$-connected region onto a plane with cuts along the arcs of logarithmic spirals

L. O. Dunduchenko, S. V. Goncharenko

Kiev Polytechnic Institute
Full-text PDF (336 kB)
Abstract: A univalent function is constructed that effects a conformal mapping of an $n$-connected circular region onto the entire plane with finite cuts along the arcs of logarithmic spirals. An approximate formula is obtained for this function, as well as the corresponding error.
Received: 17.11.1975
English version:
Mathematical Notes, 1977, Volume 21, Issue 3, Pages 183–185
DOI: https://doi.org/10.1007/BF01106741
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: L. O. Dunduchenko, S. V. Goncharenko, “Mapping of $n$-connected region onto a plane with cuts along the arcs of logarithmic spirals”, Mat. Zametki, 21:3 (1977), 329–334; Math. Notes, 21:3 (1977), 183–185
Citation in format AMSBIB
\Bibitem{DunGon77}
\by L.~O.~Dunduchenko, S.~V.~Goncharenko
\paper Mapping of $n$-connected region onto a~plane with cuts along the arcs of logarithmic spirals
\jour Mat. Zametki
\yr 1977
\vol 21
\issue 3
\pages 329--334
\mathnet{http://mi.mathnet.ru/mzm7960}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=460607}
\zmath{https://zbmath.org/?q=an:0405.30002|0355.30005}
\transl
\jour Math. Notes
\yr 1977
\vol 21
\issue 3
\pages 183--185
\crossref{https://doi.org/10.1007/BF01106741}
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