Geometric properties of partial sums of generalized Koebe function

Geometric properties of partial sums of generalized Koebe function

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

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