On Subclasses of Analytic Functions with respect to Symmetrical Points

Abstract

In our present investigation, motivated from Noor work, we define the class ${ℛ}_k^s$($b$) of functions of bounded radius rotation of complex order $b$ with respect to symmetrical points and learn some of its basic properties. We also apply this concept to define the class ${\mathcal{H}}_k^s\left(\alpha ,b,\delta \right)$. We study some interesting results, including arc length, coefficient difference, and univalence sufficient condition for this class.