<p>In this paper, we explore the Bohr phenomenon for differential operators of stable univalent and stable convex harmonic mappings. We derive improved Bohr inequalities for these mappings and investigate the Bohr radius for linear combinations of harmonic mappings and their differential operators. The Bohr-Rogosinski inequality for second-order differential operators is also examined.</p>

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The bohr phenomenon for the differential operators of harmonic stable mappings

  • Shuhan Xu,
  • Xuhuizi An,
  • Zhihong Liu

摘要

In this paper, we explore the Bohr phenomenon for differential operators of stable univalent and stable convex harmonic mappings. We derive improved Bohr inequalities for these mappings and investigate the Bohr radius for linear combinations of harmonic mappings and their differential operators. The Bohr-Rogosinski inequality for second-order differential operators is also examined.