HARMONIC MAPPINGS WITH THE FIXED ANALYTIC PART
In this article, we consider a class of sense-preserving harmonic mappings whose analytic part is convex in one direction. We prove that functions in this class are close-to-convex for certain values of parameters. Further, we obtain bounds on preSchwarzian derivatives and bounds on the Bloch’s...
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| Format: | Article |
| Language: | English |
| Published: |
Petrozavodsk State University
2021-02-01
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| Series: | Проблемы анализа |
| Subjects: | |
| Online Access: | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=8850&lang=ru |
| Summary: | In this article, we consider a class of sense-preserving
harmonic mappings whose analytic part is convex in one
direction. We prove that functions in this class are close-to-convex
for certain values of parameters. Further, we obtain bounds on preSchwarzian derivatives and bounds on the Bloch’s
constant. Finally, we obtain coefficient bounds, growth and
distortion results. |
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| ISSN: | 2306-3424 2306-3432 |