ON SOME SUBCLASSES OF HARMONIC MAPPINGS
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DOI: 10.1017/s0004972719000698
Abstract: Let ${\mathcal{P}}_{{\mathcal{H}}}^{0}(M)$ denote the class of normalised harmonic mappings $f=h+\overline{g}$ in the unit disk $\mathbb{D}$ satisfying $\text{Re}\,(zh^{\prime \prime }(z))>-M+|zg^{\prime \prime }(z)|$ , where $h^{\prime }(0)-1=0=g^{\prime }(0)$ and $M>0$ . Let ${\mathcal{B}}_{{\mathcal{H}}}^{0}(M)$ denote the class of… read more here.
Keywords: subclasses harmonic; mathcal mathcal; harmonic mappings; class ... See more keywords