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<p>In this paper, we aim to discuss several results associated with conical domains and some general properties. By utilizing some conical sections, we introduce a new class of analytic functions with respect to (<i>j</i>,&#xa0;<i>m</i>)-ply symmetric points, <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13370_2025_1254_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="137" /> </InlineMediaObject> <EquationSource Format="TEX">\(j=0,1,\ldots ,m-1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>j</mi> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mo>…</mo> <mo>,</mo> <mi>m</mi> <mo>-</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13370_2025_1254_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="49" /> </InlineMediaObject> <EquationSource Format="TEX">\(m \in \mathbb {N}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>m</mi> <mo>∈</mo> <mi mathvariant="double-struck">N</mi> </mrow> </math></EquationSource> </InlineEquation>. Also, we formulate certain <i>k</i>-uniformly convex starlike functions influenced by the principle of the differential subordinations. In addition, we derive coefficient bounds for various functions in the given classes of analytic functions and evaluate certain sufficiency criteria in a form of convolutions. Over and above, we derive interesting results involving starlike functions as well.</p>

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On k-uniformly starlike convex functions associated with (j, m)-ply symmetric points

  • 期刊论文

  • 发表日期：

    2025年1月22日

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  • Ebrahim Amini,
  • Shrideh Al-Omari

摘要

In this paper, we aim to discuss several results associated with conical domains and some general properties. By utilizing some conical sections, we introduce a new class of analytic functions with respect to (j, m)-ply symmetric points, \(j=0,1,\ldots ,m-1\) j = 0 , 1 , … , m - 1 and \(m \in \mathbb {N}\) m ∈ N . Also, we formulate certain k-uniformly convex starlike functions influenced by the principle of the differential subordinations. In addition, we derive coefficient bounds for various functions in the given classes of analytic functions and evaluate certain sufficiency criteria in a form of convolutions. Over and above, we derive interesting results involving starlike functions as well.