<p>We obtain the best possible estimates for the Hermitian – Toeplitz determinant of the third order for a class of starlike functions with respect to a symmetric point associated with a rational function. In addition, we determine the upper bounds for the third Hankel determinants.</p>

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Hermitian–Toeplitz and Hankel Determinants for Sakaguchi-Type Functions Defined by a Rational Function

  • Mucahit Buyankara,
  • Murat Çağlar

摘要

We obtain the best possible estimates for the Hermitian – Toeplitz determinant of the third order for a class of starlike functions with respect to a symmetric point associated with a rational function. In addition, we determine the upper bounds for the third Hankel determinants.