New classes of certain analytic functions concerned with subordinations


Breaz, Nicoleta and Owa, Shigeyoshi


Abstract

carpathian_2017_33_2_153_160_abstract

Let \mathcal{A} be the class of analytic functions f(z) in the open unit disk \mathbb{U} which satisfy f(0)=0 and f'(0) = 1. Applying the extremal function for the subclass \mathcal{S}^{*}(\alpha) of \mathcal{A}, new classes \mathcal{P}^{*}(\alpha) and \mathcal{Q}^{*}(\alpha) are considered using certain subordinations. The object of the present paper is to discuss some interesting properties for f(z) belonging to the classes \mathcal{P}^{*}(\alpha) and \mathcal{Q}^{*}(\alpha).

Additional Information

Author(s)

Breaz, Nicoleta, Owa, Shigeyoshi