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The second Hankel determinant of logarithmic coefficients and logarithmic inverse coefficients for the class of bounded turning functions of order α

  • Bilal Şeker,
  • Bilal Çekiç,
  • Sevtap Sümer,
  • Onur Akçiçek

摘要

In this paper, we obtain sharp bounds for the second Hankel determinant of logarithmic coefficients H2,1(Ff/2) of bounded turning functions of order α. Furthermore, we obtain sharp bounds of the second Hankel determinant of logarithmic inverse coefficients of H2,1(Ff−1/2), where f-1 is the inverse function of f. For the class 𝒫′(α), we conclude that the bounds for H2,1(Ff /2) and H2,1(Ff−1/2) are the same only for 1/4 ≤ α < 1.