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On $φ$-Normality of Harmonic Mappings and Their Families

Datt, Gopal et al.
arXiv (All) · Papers
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complex-variables
In this paper, we present Lappan's five-point type criteria for $φ$-normality of sense-preserving harmonic mappings and families of harmonic mappings in the unit disc $\mathbb{D}$. We establish a normality criterion involving the higher-order spherical derivative of order $k$, and $k+2$ distinct tes
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