Extensions of Some Sufficient Conditions for Starlikeness and Convexity of Order β

The aim of the present paper is to investigate some sufficient conditions for starlikeness and convexity of two new operators ε_(α,λ)~γ and H_m~l(α_1) related to the generalized Mittag-Leffler function E_(α,λ)~γ and the generalized hypergeometric function,defined in the unit disk,respectively.The results presented here make connections to some of the earlier known developments.