The aim of the present paper is to introduce a new class G (a, d) of analytic functions in the open unit disk and to study some properties associated with strong starlikeness and close-to-convexity for the class G (a, d). We also consider sharp bounds of logarithmic coefficients and Fekete-Szegö functionals belonging to the class G (a, d). Moreover, we provide some topics related to the results reported here that are relevant to outcomes presented in earlier research. e