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.

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

Full Text: PDF