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

Abstract

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.

Keywords

• univalent functions
• star-like functions with respect to symmetric conjugate points
• subordination
• coefficient estimates
• hankel determinant
• fekete-szegö inequality
• distortion bound
• growth bound