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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Bibliographic Details
Main Author: Rajbala, Jugal K. Prajapat
Format: Article
Language:English
Published: Petrozavodsk State University 2021-02-01
Series:Проблемы анализа
Subjects:
Online Access:https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=8850&lang=ru