Nehari‐type families of harmonic mappings
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DOI: 10.1002/mana.201800256
Abstract: We introduce affine and linearly invariant families of locally injective harmonic mappings of the unit disk D. We derive sharp distortion theorems for the Jacobian that are used to establish a uniform modulus of continuity… read more here.
Keywords: type families; harmonic mappings; nehari type; families harmonic ... See more keywords
Landau-Type Theorems of Polyharmonic Mappings and log-p-Harmonic Mappings
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DOI: 10.1007/s11785-018-0784-7
Abstract: In this paper, we first establish three new Landau-type theorems of polyharmonic mappings, which extend the related results of biharmonic mappings of earlier authors. Then three new Landau-type theorems of log-p-harmonic mappings are also provided. read more here.
Keywords: theorems polyharmonic; landau type; polyharmonic mappings; type theorems ... See more keywords
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
Erratum to "Quasiconformal harmonic mappings with the convex holomorphic part"
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DOI: 10.5186/aasfm.2018.4355
Abstract: The John Paul II Catholic University of Lublin, Institute of Mathematics and Computer Science Al. Racławickie 14, P.O. Box 129, 20-950 Lublin, Poland; [email protected] and The State School of Higher Education in Chełm, Institute of… read more here.
Keywords: quasiconformal harmonic; harmonic mappings; mathematics; convex holomorphic ... See more keywords