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 |