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<p>We determine sufficient conditions for functions to be in the class <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11253_2025_2464_Article_IEq1.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\({\mathcal{S}}_{\varrho }^{*}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mi mathvariant="script">S</mi> <mrow> <mi>ϱ</mi> </mrow> <mrow> <mrow /> <mo>∗</mo> </mrow> </mmultiscripts> </math></EquationSource> </InlineEquation> formed by starlike functions related to cosh <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11253_2025_2464_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="30" /> </InlineMediaObject> <EquationSource Format="TEX">\(\sqrt{z}\)</EquationSource> <EquationSource Format="MATHML"><math> <msqrt> <mi>z</mi> </msqrt> </math></EquationSource> </InlineEquation> by using the Briot–Bouquet and other differential subordination techniques. Additionally, in order to ensure the sharpness of our results, we include graphical validations and appropriate illustrations.</p>

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Sufficient Conditions for Starlikeness Related to a Hyperbolic Cosine Function

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • S. Sivaprasad Kumar,
  • Mridula Mundalia

摘要

We determine sufficient conditions for functions to be in the class \({\mathcal{S}}_{\varrho }^{*}\) S ϱ ∗ formed by starlike functions related to cosh \(\sqrt{z}\) z by using the Briot–Bouquet and other differential subordination techniques. Additionally, in order to ensure the sharpness of our results, we include graphical validations and appropriate illustrations.