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

In this paper, we introduced a new subclass $S_{SC}^{\ast }\left(\alpha ,\delta ,A,B\right)$ 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.