Abstract
In this paper, we discuss the sense-preserving univalent harmonic mappings from the unit disk D onto asymmetrical vertical strips \({\Omega _\alpha } = \left\{ {\omega :{\kern 1pt} \frac{{\alpha - \pi }}{{2\sin \alpha }} < \Re \left( \omega \right) < \frac{\alpha }{{2\sin \alpha }}} \right\},\frac{\pi }{2} \leqslant \alpha < \pi \) Such results as analytic representation formula, coefficient estimates, distortion theorem and area theorem are derived.
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Supported by NSFC (Grant Nos. 11301008, 11371126, 11226088), the Aid Program for Science and Technology Innovative Research Team in Higher Educational Institution of Hu’nan Province, the Foundation of Educational Committee of He’nan Province (Grant No. 15A11006)
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Wang, Z.G., Shi, L. & Jiang, Y.P. On harmonic K-quasiconformal mappings associated with asymmetric vertical strips. Acta. Math. Sin.-English Ser. 31, 1970–1976 (2015). https://doi.org/10.1007/s10114-015-4773-8
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DOI: https://doi.org/10.1007/s10114-015-4773-8