Application of the Srivastav-Owa Fractional Calculus Operator to Janowski Spiral-like Functions of Complex Order

Abstract

We aim to introduce a new subfamily of Janowski spiral-like functions of complex order, based on Srivastava-Owa fractional calculus
operator. For functions in this new subfamily, we establish a necessary and sufficient condition, Marx-Strohhacker type inequalities as well as ¨ distortion and radius inequalities. A Fekete-Szego problem for this new ¨ subfamily is also investigated. The results presented here, would extend, unify and improve some recent results in literature.