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<p>In this paper, we establish several new sharp versions of Bohr-type inequalities for <i>K</i>-quasiregular harmonic mappings for shifted disks with <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\operatorname {Re}f\le 1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>Re</mo> <mi>f</mi> <mo>≤</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation>. In addition, using coefficient estimates, we obtain an improved result of a Landau type theorem for <i>K</i>-quasiregular harmonic mappings in the unit disk.</p>

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Bohr-Type Inequalities and Landau Type Theorem for K-Quasiregular Harmonic Mappings

  • 期刊论文

  • 发表日期：

    2025年3月18日

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  • Xin Wang,
  • Deguang Zhong

摘要

In this paper, we establish several new sharp versions of Bohr-type inequalities for K-quasiregular harmonic mappings for shifted disks with \(\operatorname {Re}f\le 1\) Re f ≤ 1 . In addition, using coefficient estimates, we obtain an improved result of a Landau type theorem for K-quasiregular harmonic mappings in the unit disk.