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<p>Sharp bounds are given for second Hankel determinant for the class of non-Bazilevic functions. We also give sharp bounds for the second Hankel determinant for the inverse and logarithmic inverse coefficients for this class of functions. Furthermore, non sharp bound for logarithmic coefficients is provided. Our results provide solution to long standing open problems for this class of functions.</p>

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Hankel determinants for non-bazilevic functions

  • 期刊论文

  • 发表日期：

    2025年6月30日

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  • Paweł Zaprawa,
  • Mohsan Raza,
  • Muniba Amin

摘要

Sharp bounds are given for second Hankel determinant for the class of non-Bazilevic functions. We also give sharp bounds for the second Hankel determinant for the inverse and logarithmic inverse coefficients for this class of functions. Furthermore, non sharp bound for logarithmic coefficients is provided. Our results provide solution to long standing open problems for this class of functions.