On harmonic K -quasiconformal mappings associated with asymmetric vertical strips

Verfasser / Beitragende:
[Zhi Wang, Lei Shi, Yue Jiang]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/12(2015-12-01), 1970-1976
Format:
Artikel (online)
ID: 605461481
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024 7 0 |a 10.1007/s10114-015-4773-8  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4773-8 
245 0 0 |a On harmonic K -quasiconformal mappings associated with asymmetric vertical strips  |h [Elektronische Daten]  |c [Zhi Wang, Lei Shi, Yue Jiang] 
520 3 |a 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. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Univalent harmonic mapping  |2 nationallicence 
690 7 |a harmonic K -quasiconformal mapping  |2 nationallicence 
690 7 |a asymmetric vertical strip  |2 nationallicence 
700 1 |a Wang  |D Zhi  |u School of Mathematics and Computing Science, Hu'nan First Normal University, 410205, Changsha, P. R. China  |4 aut 
700 1 |a Shi  |D Lei  |u School of Mathematics and Statistics, Anyang Normal University, 455000, Anyang, P. R. China  |4 aut 
700 1 |a Jiang  |D Yue  |u School of Mathematics and Econometrics, Hu'nan University, 410082, Changsha, P. R. China  |4 aut 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/12(2015-12-01), 1970-1976  |x 1439-8516  |q 31:12<1970  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-4773-8  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-4773-8  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Wang  |D Zhi  |u School of Mathematics and Computing Science, Hu'nan First Normal University, 410205, Changsha, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Shi  |D Lei  |u School of Mathematics and Statistics, Anyang Normal University, 455000, Anyang, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Jiang  |D Yue  |u School of Mathematics and Econometrics, Hu'nan University, 410082, Changsha, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/12(2015-12-01), 1970-1976  |x 1439-8516  |q 31:12<1970  |1 2015  |2 31  |o 10114