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This article is cited in 9 scientific papers (total in 9 papers)
Majorization Principles for Meromorphic Functions
V. N. Dubinin Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Abstract:
Supplements to the Lindelöf principle on the behavior of Green's function and the Nevanlinna principle on the behavior of the harmonic measure under meromorphic maps are proposed; these supplements go back to Mityuk's work on the change of the inner radius of a domain under the action of regular functions.
Keywords:
Lindelöf principle, Nevanlinna majorization principle, meromorphic function, harmonic measure, Green's function, subharmonic function.
Received: 14.03.2008
Citation:
V. N. Dubinin, “Majorization Principles for Meromorphic Functions”, Mat. Zametki, 84:6 (2008), 803–808; Math. Notes, 84:6 (2008), 751–755
Linking options:
https://www.mathnet.ru/eng/mzm6565https://doi.org/10.4213/mzm6565 https://www.mathnet.ru/eng/mzm/v84/i6/p803
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