Sharp bounds for the growth and distortion of the analytic part of convex K-quasiconformal harmonic mappings

2025/05/22 by Li, Peijin, Ponnusamy, Saminathan
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2505.17157

Abstract

The main aim of this paper is to obtain the sharp upper and lower bounds for the growth and distortion of the analytic part h of sense-preserving convex K-quasiconformal harmonic mappings.

Citations

• Sharp bounds for the growth and distortion of the analytic part of convex harmonic functions
• On the coefficients estimate of K-quasiconformal harmonic mappings
• Radius of convexity of partial sums of odd functions in the close-to-convex family

Related

• Sharp bounds for the growth and distortion of the analytic part of convex harmonic functions
• On the coefficients estimate of K-quasiconformal harmonic mappings
• Linear measure and K-quasiconformal harmonic mappings
• Bohr Phenomenon for K-quasiconformal Harmonic Mappings Involving One Parameter
• The boundary behaviour of K-quasiconformal harmonic mappings