Bloch-Type Theorems for Harmonic Mappings: Bloch-Type Theorems for Harmonic Mappings

In this article, we obtain Bloch-type theorems for ( K , K ′ ) -elliptic harmonic mappings defined on the open unit disk of the complex plane. We also derive Bloch-type theorems for different subclasses of harmonic mappings with a simple pole, such as ( K , K ′ ) -elliptic harmonic mappings, K -quas...

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Bibliographic Details
Published in:Mediterranean journal of mathematics 2025, Vol.22 (1)
Main Authors: Bhowmik, Bappaditya, Sen, Sambhunath
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Theorems
Online Access:Get full text
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Summary:In this article, we obtain Bloch-type theorems for ( K , K ′ ) -elliptic harmonic mappings defined on the open unit disk of the complex plane. We also derive Bloch-type theorems for different subclasses of harmonic mappings with a simple pole, such as ( K , K ′ ) -elliptic harmonic mappings, K -quasiregular harmonic mappings and open planar harmonic mappings.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-024-02768-0