Applications of horadam polynomials on a new family of bi-prestarlike functions

MISKOLC MATHEMATICAL NOTES(2023)

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摘要
In this article, we introduce and investigate a new family of analytic and bi-prestarlike functions by using the Horadam polynomials defined in the open unit disk U. We determine upper bounds for the first two coefficients |a(2)| and |a(3)| and solve Fekete-Szego problem of functions that belong to this family. Also, we point out several certain special cases for our results.
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关键词
bi-prestarlike functions,bi-univalent functions,Horadam polynomials,upper bounds,Fekete-Szego problem,subordination
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