We define and study some subclasses of analytic functions by using a certain multiplier transformation. These functions map the open unit disc onto the domains formed by parabolic and hyperbolic regions and extend the concept of uniformly close-to-convexity. Some interesting properties of these classes, which include inclusion results, coefficient problems, and invariance under certain integral operators, are discussed. The results are shown to be the best possible.
"Generalized k-Uniformly Close-to-Convex Functions Associated with Conic Regions." Abstr. Appl. Anal. 2012 (SI12) 1 - 17, 2012. https://doi.org/10.1155/2012/274985