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Эта публикация цитируется в 10 научных статьях (всего в 10 статьях)
Univalence of harmonic functions, problem of Ponnusamy and Sairam, and constructions of univalent polynomials
V. V. Starkov Petrozavodsk State University,
Lenin Avenue, 33, 185910 Petrozavodsk, Russia
Аннотация:
The criteria of the univalence of a harmonic mapping is obtained in this paper.
Particularly, it permits to formulate the hypothesis of the harmonic function classes equality
$S_H^0=S_H^0(S)$ (hypothesis of Ponnusamy and Sairam), in analytic form.
The method of construction of the univalent harmonic polynomials with desired properties, according to a given harmonic function, is obtained by means of the univalence criteria.
Ключевые слова:
harmonic functions, criteria of the univalence, harmonic univalent polynomials.
Поступила в редакцию: 07.09.2014
Образец цитирования:
V. V. Starkov, “Univalence of harmonic functions, problem of Ponnusamy and Sairam, and constructions of univalent polynomials”, Пробл. анал. Issues Anal., 3(21):2 (2014), 59–73
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/pa183 https://www.mathnet.ru/rus/pa/v21/i2/p59
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