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AIMS Mathematics

2023, Volume 8, Issue 1: 1889-1900. doi: 10.3934/math.2023097
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Research article

Some properties of a new subclass of tilted star-like functions with respect to symmetric conjugate points

  • Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia
  • Received: 25 June 2022 Revised: 28 September 2022 Accepted: 13 October 2022 Published: 26 October 2022

  • MSC : 30C45, 30C50

  • In this paper, we introduced a new subclass $ S_{SC}^*\left({\alpha, \delta, A, B} \right) $ of tilted star-like functions with respect to symmetric conjugate points in an open unit disk and obtained some of its basic properties. The estimation of the Taylor-Maclaurin coefficients, the Hankel determinant, Fekete-Szegö inequality, and distortion and growth bounds for functions in this new subclass were investigated. A number of new or known results were presented to follow upon specializing in the parameters involved in our main results.

    Citation: Daud Mohamad, Nur Hazwani Aqilah Abdul Wahid, Nurfatin Nabilah Md Fauzi. Some properties of a new subclass of tilted star-like functions with respect to symmetric conjugate points[J]. AIMS Mathematics, 2023, 8(1): 1889-1900. doi: 10.3934/math.2023097

    Related Papers:

  • In this paper, we introduced a new subclass $ S_{SC}^*\left({\alpha, \delta, A, B} \right) $ of tilted star-like functions with respect to symmetric conjugate points in an open unit disk and obtained some of its basic properties. The estimation of the Taylor-Maclaurin coefficients, the Hankel determinant, Fekete-Szegö inequality, and distortion and growth bounds for functions in this new subclass were investigated. A number of new or known results were presented to follow upon specializing in the parameters involved in our main results.


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