Coefficient bounds and distortion theorems for the certain analytic functions

Authors

OSMAN ALTINTAŞ
NİZAMİ MUSTAFA

DOI

10.3906/mat-1812-85

Abstract

In this paper, we introduce and investigate an analytic function class $% P_{q}(\lambda,A,B)$ that we call the class of $q-$starlike and $q-$convex functions with respect to the parameter $\lambda $. We give coefficient bounds estimates, distortion bound and growth theorems for the functions belonging to this class.

Keywords

Starlike function, convex function, $q-$starlike function, $q-$% convex function, $q-$derivative

First Page

985

Last Page

997

Recommended Citation

ALTINTAŞ, OSMAN and MUSTAFA, NİZAMİ (2019) "Coefficient bounds and distortion theorems for the certain analytic functions," Turkish Journal of Mathematics: Vol. 43: No. 2, Article 30. https://doi.org/10.3906/mat-1812-85
Available at: https://journals.tubitak.gov.tr/math/vol43/iss2/30