Coefficient estimates for subclasses of Bazilevič type functions associated with quasi-subordination

Trailokya  Panigrahi; Subhasmita  Jena

doi:10.5269/bspm.76152

Trailokya Panigrahi
Subhasmita Jena Institute of Mathematics and Applications

Abstract

In the present paper, by making use of the principle of quasi-subordination between two analytic functions, the authors introduce two novel subclasses of analytic functions related to the class of Bazilevic type functions. We investigate the coefficient estimates, the classical Fekete-Szego problem, and the bounds of inverse coefficients for the function belonging to these classes. Some important and useful special cases of the main results in the form of corollaries are pointed out.

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