Geodesic
Univalence of harmonic functions, problem of Ponnusamy and Sairam, and constructions of univalent polynomials
Problemy analiza, Tome 3 (2014) no. 2, pp. 59-73 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: harmonic functions, criteria of the univalence, harmonic univalent polynomials. 
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V. V. Starkov. Univalence of harmonic functions, problem of Ponnusamy and Sairam, and constructions of univalent polynomials. Problemy analiza, Tome 3 (2014) no. 2, pp. 59-73. http://geodesic.mathdoc.fr/item/PA_2014_3_2_a4/

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