Starlikeness and convexity of integral operators involving Mittag-Leffler functions

Abstract

In this paper, we shall find the order of starlikeness and convexity for integral operators Fαj ,βj ,λj ,ζ (z) = {ζ ʃ z0 tζ-1 ∏nj=1 (Eaj,βj(t)/t) 1/λj dt}1/ζ , where the functions Eαj ,βj are the normalized Mittag-Leffler functions.