Advanced Studies: Euro-Tbilisi Mathematical Journal

On a new subclass of strongly starlike functions involving certain subordination

H. Bhardwaj, P. Sharma

A new class S^*_es of normalized analytic functions f satisfying zf^'(z) / f(z) ≺ e^{sin z} in the unit disk 𝕌 = {z ∈ ℂ : |z| < 1} is defined. Structural representations and coefficient inequalities for the class S^*_es are obtained. In addition, certain inclusion results for some well known function classes and radii results are also investigated.


Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 18(1) (2025), pp. 35-48