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
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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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
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