• Title/Summary/Keyword: Fekete-Szego problem

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HORADAM POLYNOMIALS FOR A NEW SUBCLASS OF SAKAGUCHI-TYPE BI-UNIVALENT FUNCTIONS DEFINED BY (p, q)-DERIVATIVE OPERATOR

  • Vanithakumari Balasubramaniam;Saravanan Gunasekar;Baskaran Sudharsanan;Sibel Yalcin
    • Communications of the Korean Mathematical Society
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    • v.39 no.2
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    • pp.461-470
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    • 2024
  • In this paper, a new subclass, 𝒮𝒞𝜇,p,q𝜎 (r, s; x), of Sakaguchitype analytic bi-univalent functions defined by (p, q)-derivative operator using Horadam polynomials is constructed and investigated. The initial coefficient bounds for |a2| and |a3| are obtained. Fekete-Szegö inequalities for the class are found. Finally, we give some corollaries.