Landau type theorem for generalized harmonic mappings

In this paper, we first obtain an estimate of the coefficients for α-harmonic mappings. The Landau type theorem for α-harmonic mappings defined on the unit disc D of the complex plane is then obtained by applying these estimates.

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Publication Details

Journal
Complex Variables and Elliptic Equations
Published
2026-06-25
DOI
https://doi.org/10.1080/17476933.2026.2682927
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
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article

Landau type theorem for generalized harmonic mappings

Vasudevarao Allu, R G Aakash Kumar
Complex Variables and Elliptic Equations
Analytic and geometric function theory
article

Landau type theorem for generalized harmonic mappings

Vasudevarao Allu, R G Aakash Kumar
article en

Abstract

In this paper, we first obtain an estimate of the coefficients for α-harmonic mappings. The Landau type theorem for α-harmonic mappings defined on the unit disc D of the complex plane is then obtained by applying these estimates.

Complex Variables and Elliptic Equations
Indian Institute of Technology Bhubaneswar (IN)
Openalex Percentile: Top 4%
Analytic and geometric function theory
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Landau type theorem for generalized harmonic mappings — Vasudevarao Allu, R G Aakash Kumar · Complex Variables and Elliptic Equations (2026) | TGRS Research Map | TGRS