The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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COEFFICIENT INEQUALITIES FOR A UNIFIED CLASS OF BOUNDED TURNING FUNCTIONS ASSOCIATED WITH COSINE HYPERBOLIC FUNCTION

  • Received : 2023.11.21
  • Accepted : 2024.03.15
  • Published : 2024.05.31
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Abstract

The aim of this paper is to study a new and unified class 𝓡αCosh of analytic functions associated with cosine hyperbolic function in the open unit disc E = {z ∈ ℂ : |z| < 1}. Some interesting properties of this class such as initial coefficient bounds, Fekete-Szegö inequality, second Hankel determinant, Zalcman inequality and third Hankel determinant have been established. Furthermore, these results have also been studied for two-fold and three-fold symmetric functions.

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References

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