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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 429, Pages 157–177 (Mi znsl6073)  
On quadratic forms generated by the Neumann functions

E. G. Prilepkina

Far Eastern Federal University, Vladivostok, Russia
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Abstract: Quadratic forms depending on the values of Neumann functions are studied. Monotonic behavior under extension of domain and polarization was proved. Also the behavior of this quadratic form under conformal univalent mapping was researched. As an application, the distortion theorem generalizing the results of Dubinin, Kim in the case of finitely connected domain are derived.
Key words and phrases: Neumann function, quadratic form, univalent mapping, distortion theorem, angular derivative.
Received: 15.09.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 207, Issue 6, Pages 909–922
DOI: https://doi.org/10.1007/s10958-015-2414-5
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: E. G. Prilepkina, “On quadratic forms generated by the Neumann functions”, Analytical theory of numbers and theory of functions. Part 29, Zap. Nauchn. Sem. POMI, 429, POMI, St. Petersburg, 2014, 157–177; J. Math. Sci. (N. Y.), 207:6 (2015), 909–922
Citation in format AMSBIB
\Bibitem{Pri14}
\by E.~G.~Prilepkina
\paper On quadratic forms generated by the Neumann functions
\inbook Analytical theory of numbers and theory of functions. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 429
\pages 157--177
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6073}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 207
\issue 6
\pages 909--922
\crossref{https://doi.org/10.1007/s10958-015-2414-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84949626018}
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