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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2010 Number 10, Pages 69–72 (Mi ivm7141)

This article is cited in 8 papers

Brief communications

Differential inequalities in linear- and affine-invariant families of harmonic mappings

S. Yu. Graf, O. R. Eyelangoli

Chair of Mathematical Analysis, Tver State University, Tver, Russia

Abstract: At the linear- and affine-invariant families of harmonic mappings of the unit disk some differential inequalities such as sharp estimation of the Jacobian and estimation of curvature of the image of the circle are proved.

Keywords: harmonic mappings, linear- and affine-invariant families functions, order of family.

UDC: 517.546

Received: 17.03.2010


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:10, 60–62

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