<p>For the new subclass <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11766_2025_4617_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\frak{B}\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <mrow> <mi mathvariant="fraktur">B</mi> </mrow> </math></EquationSource> </InlineEquation> of the bi-univalent functions constructed with the help of the (<i>u, v</i>)-Chebyshev polynomials of the second type, we get estimates for the first two initial coefficients and upper bounds of the Fekete-Szegő functional.</p>

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Certain Subclasses of Bi-univalent Functions Associated with (u, v)-Chebyshev Polynomials

  • Timilehin Gideon Shaba,
  • Sibel Yalçin,
  • Gangadharan Murugusundaramoorthy,
  • Maslina Darus

摘要

For the new subclass \(\frak{B}\) B of the bi-univalent functions constructed with the help of the (u, v)-Chebyshev polynomials of the second type, we get estimates for the first two initial coefficients and upper bounds of the Fekete-Szegő functional.