In this study, we first introduce the extended Wright function \(\mathbb {W}_{\alpha ,\beta }^{\gamma , \delta }(z)\) , as defined by Moustafa El-Shahed and Ahmed Salem [9]. We then establish sufficient conditions for this function to possess various geometric properties, such as close-to-convexity, starlikeness and strong starlikeness in the open unit disk. Additionally, we determine the radius of starlikeness for the partial sums of this function. The results obtained are novel and their significance is demonstrated through several corollaries and illustrative examples.
