On Oblique Domains of Janowski Function

Abstract

We investigate certain properties of tilted (oblique) domains, associated with the Janowski function $(1+Az)/(1+Bz),$ where $A,B\in \mathbb{C}$ with $A\ne B$ and $|B|\le 1$. We find several bounds for these oblique domains. Further, we extend the various known argument, radius, and subordination results involving Janowski functions with complex parameters.