Geodesic
On some classes of harmonic functions with conditions imposed on coefficients and their arguments
Problemy analiza, no. 13 (2006), pp. 95-111 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we consider a few classes of functions $f$ harmonic in the unit disc $\Delta$ of the form $f=h+\overline{g}$, where $h, g$ are suitably normalized functions holomorphic in $\Delta$. Our special attention is drawn to some classes generated by respective coefficient conditions and to classes of functions with conditions imposed on coefficient arguments. We examine relationships between these conditions and some analytic conditions of stalikeness or convexity of considered functions. 
@article{PA_2006_13_a8,
     author = {Z. J. Jakubowski and A. {\L}azi\'nska},
     title = {On some classes of harmonic functions with conditions imposed on coefficients and their arguments},
     journal = {Problemy analiza},
     pages = {95--111},
     year = {2006},
     number = {13},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2006_13_a8/}
}
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Z. J. Jakubowski; A. Łazińska. On some classes of harmonic functions with conditions imposed on coefficients and their arguments. Problemy analiza, no. 13 (2006), pp. 95-111. http://geodesic.mathdoc.fr/item/PA_2006_13_a8/