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<p>In this paper, we generalize and establish several sharp Bohr type inequalities involving Schwarz functions for the class of concave univalent functions that map the unit disk <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb {D}:= \{ z \in \mathbb {C}:|z|&lt;1\}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="double-struck">D</mi> <mo>:</mo> <mo>=</mo> <mo stretchy="false">{</mo> <mi>z</mi> <mo>∈</mo> <mi mathvariant="double-struck">C</mi> <mo>:</mo> <mo stretchy="false">|</mo> <mi>z</mi> <mo stretchy="false">|</mo> <mo>&lt;</mo> <mn>1</mn> <mo stretchy="false">}</mo> </mrow> </math></EquationSource> </InlineEquation> univalently onto a domain whose complement is a convex set.</p>

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Bohr Type Inequality for Concave Univalent Functions Involving Schwarz Functions

  • 期刊论文

  • 发表日期：

    2026年7月14日

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  • V. Arora,
  • P. V. Janina

摘要

In this paper, we generalize and establish several sharp Bohr type inequalities involving Schwarz functions for the class of concave univalent functions that map the unit disk \(\mathbb {D}:= \{ z \in \mathbb {C}:|z|<1\}\) D : = { z ∈ C : | z | < 1 } univalently onto a domain whose complement is a convex set.