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Stanislawa Kanas,Dominika Klimek-Smet 대한수학회 2014 대한수학회보 Vol.51 No.3
Let S0 H be the class of normalized univalent harmonic mappings in the unit disk. A subclass VH(k) of S0 H, whose analytic part is function with bounded boundary rotation, is introduced. Some bounds for functionals, specially harmonic pre-Schwarzian derivative, described in VH(k) are given.
Kanas, Stanis lawa,Klimek-Smet, Dominika Korean Mathematical Society 2014 대한수학회보 Vol.51 No.3
Let ${\mathcal{S}}^0_{\mathcal{H}}$ be the class of normalized univalent harmonic mappings in the unit disk. A subclass ${\mathcal{V}}^{\mathcal{H}}(k)$ of ${\mathcal{S}}^0_{\mathcal{H}}$, whose analytic part is function with bounded boundary rotation, is introduced. Some bounds for functionals, specially harmonic pre-Schwarzian derivative, described in ${\mathcal{V}}^{\mathcal{H}}(k)$ are given.