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Abstract <p>In this paper, motivated essentially by analytic <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11957_2025_7207_Article_IEq3.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\zeta\)</EquationSource> <!--ContMath2470045Qiu-m3--> </InlineEquation>-starlike functions, we introduce and investigate the class <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11957_2025_7207_Article_IEq4.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="80" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathcal{MS}^{*}(\zeta,\alpha)\)</EquationSource> <!--ContMath2470045Qiu-m4--> </InlineEquation> of meromorphic <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11957_2025_7207_Article_IEq5.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\zeta\)</EquationSource> <!--ContMath2470045Qiu-m5--> </InlineEquation>-starlike functions. Results like a convolution property, coefficient inequalities, a neighborhood property and partial sums for this function class are derived.</p>

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Some Characterizations for Meromorphic \({\zeta}\)-Starlike Functions

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • J.-L. Qiu,
  • Z.-G. Wang,
  • M. Li

摘要

Abstract

In this paper, motivated essentially by analytic \(\zeta\) -starlike functions, we introduce and investigate the class \(\mathcal{MS}^{*}(\zeta,\alpha)\) of meromorphic \(\zeta\) -starlike functions. Results like a convolution property, coefficient inequalities, a neighborhood property and partial sums for this function class are derived.