Geometric properties of partial sums of generalized Koebe function

Authors

ERHAN DENİZ
ERKAN YALÇIN

Abstract

The aim of the present paper is to investigate the starlikeness, convexity, and close-to-convexity of some partial sums of the generalized Koebe function. Furthermore, we give some special results related with special cases of $c$ constant. The results, which are presented in this paper, would generalize those in related works of several earlier authors.

DOI

10.3906/mat-1909-77

Keywords

Analytic functions, starlike functions, convex functions, partial sums, radius of starlike and convex functions, generalized Koebe function

First Page

194

Last Page

206

Recommended Citation

DENİZ, ERHAN and YALÇIN, ERKAN (2020) "Geometric properties of partial sums of generalized Koebe function," Turkish Journal of Mathematics: Vol. 44: No. 1, Article 13. https://doi.org/10.3906/mat-1909-77
Available at: https://journals.tubitak.gov.tr/math/vol44/iss1/13