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 Zap. Nauchn. Sem. LOMI, 1988, Volume 168, Pages 98–113 (Mi znsl5584)

On the question of extremal properties of quadratic differentials with end domains in the structure of trajectories

G. V. Kuz'mina

Abstract: One considers the possible definitions of the reduced modules of domains of a special form with respect to corresponding families of curves in these domains. One investigates the role of quadratic differentials, having poles of order $\geq3$, in the problems of the extremal partition of the $z$-sphere, formulated in terms of the introduced definitions.

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Document Type: Article
UDC: 517.54

Citation: G. V. Kuz'mina, “On the question of extremal properties of quadratic differentials with end domains in the structure of trajectories”, Analytical theory of numbers and theory of functions. Part 9, Zap. Nauchn. Sem. LOMI, 168, "Nauka", Leningrad. Otdel., Leningrad, 1988, 98–113

Citation in format AMSBIB
\Bibitem{Kuz88} \by G.~V.~Kuz'mina \paper On the question of extremal properties of quadratic differentials with end domains in the structure of trajectories \inbook Analytical theory of numbers and theory of functions. Part~9 \serial Zap. Nauchn. Sem. LOMI \yr 1988 \vol 168 \pages 98--113 \publ "Nauka", Leningrad. Otdel. \publaddr Leningrad \mathnet{http://mi.mathnet.ru/znsl5584} \zmath{https://zbmath.org/?q=an:0692.30019} 

• http://mi.mathnet.ru/eng/znsl5584
• http://mi.mathnet.ru/eng/znsl/v168/p98

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This publication is cited in the following articles:
1. V. N. Dubinin, “Symmetrization in the geometric theory of functions of a complex variable”, Russian Math. Surveys, 49:1 (1994), 1–79
2. V. N. Dubinin, N. V. Eirikh, “Obobschennyi privedennyi modul”, Dalnevost. matem. zhurn., 3:2 (2002), 150–164