On a new subclass of strongly starlike functions involving certain subordination

A new class $S_{es}^{\ast }$ of normalized analytic functions $f$ satisfying $\frac{zf^{\prime }(z)}{f(z)}\prec e^{\sin z}$ in the unit disk $\mathbb{U}=\left\{z\in \mathbb{C}:\left\vert z\right\vert \lt 1\right\}$ is defined. Structural representations and coefficient inequalities for the class $S_{es}^{\ast }$ are obtained. In addition, certain inclusion results for some well known function classes and radii results are also investigated.