The Fekete-Szegö type inequalities for certain subclasses analytic functions associated with petal shaped region

Abstract

In the article we introduce several new subclasses of analytic functions associated with pedal shaped functions. By using differential subordination and convolution operator theory, we obtain the bound estimations of the coefficients $ a_2 $ and $ a_3 $, and the logarithmic coefficients $ d_1 $ and $ d_2 $ as well as Fekete-Szego type functional inequalities for these subclasses.