Analytic functions are characterized by the geometry of their image domains. That?s why, domain is substantial importance to have a comprehensive study analytic functions. To introduce and new geometrical structures as define subsequent an ongoing part research in geometric function theory. We introduced named cardioid defined corresponding function, see [14]. Here we further domain, starlike a...

This article comprises the study of strongly starlike functions which are defined by using concept subordination. The function φ φ(ζ)=(1+ζ)λ, 0<λ<1 maps open unit disk in complex plane to a domain symmetric with respect real axis right-half plane. Using this mapping, we obtain some radius results for family functions. It is worth noting that all presented sharp.

Motivated by the recent work on symmetric domains, this article investigates certain features of domain which are caused secant hyperbolic functions. Geometric characteristics analytic functions associated with discussed, include inclusion results, structural formula, sharp radii results such as radius starlikeness and convexity order α. It also finds a for ratios Euler numbers.