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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 10, Pages 69–72 (Mi ivm7141)  
This article is cited in 8 scientific papers (total 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
Full-text PDF (146 kB) Citations (8)
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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.
Received: 17.03.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 10, Pages 60–62
DOI: https://doi.org/10.3103/S1066369X10100075
Bibliographic databases:
Document Type: Article
UDC: 517.546
Language: Russian
Citation: S. Yu. Graf, O. R. Eyelangoli, “Differential inequalities in linear- and affine-invariant families of harmonic mappings”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 10, 69–72; Russian Math. (Iz. VUZ), 54:10 (2010), 60–62
Citation in format AMSBIB
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\paper Differential inequalities in linear- and affine-invariant families of harmonic mappings
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\pages 69--72
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\transl
\jour Russian Math. (Iz. VUZ)
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\issue 10
\pages 60--62
\crossref{https://doi.org/10.3103/S1066369X10100075}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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