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<p>In this study, we present a specific type of analytic functions called <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13660_2024_3214_Article_IEq1.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="44" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="fraktur">B</mi> <mi>γ</mi> </msub> <mo stretchy="false">(</mo> <mi>q</mi> <mo stretchy="false">)</mo> </math></EquationSource> <EquationSource Format="TEX">$\mathfrak{B}_{\gamma}(q)$</EquationSource> </InlineEquation>, characterized by the Babalola <i>q</i>-convolution operator. We examine the characteristics of this category and set the limits for the initial four coefficients. In addition, we establish the limits for the Toeplitz determinants of second and third order for the functions within this category. Our discoveries offer fresh perspectives on the behavior of these functions and aid in comprehending their structural characteristics.</p>

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Applications of Babalola q-convolution operator on subclass of analytic functions

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月6日

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  • Timilehin Gideon Shaba,
  • Saravanan Gunasekar,
  • Afis Saliu,
  • Fairouz Tchier,
  • Baskaran Sudharsanan

摘要

In this study, we present a specific type of analytic functions called B γ ( q ) $\mathfrak{B}_{\gamma}(q)$ , characterized by the Babalola q-convolution operator. We examine the characteristics of this category and set the limits for the initial four coefficients. In addition, we establish the limits for the Toeplitz determinants of second and third order for the functions within this category. Our discoveries offer fresh perspectives on the behavior of these functions and aid in comprehending their structural characteristics.