Starlikeness and related properties of certain integral operator for multivalent functions

Abstract

Abstract. In this paper, the authors introduce a new general integral operator for multivalent functions. The new sufficient conditions for the operator J α i , β i p,γ,g (f1, f2, ..., fn) when γ = 1 is determined for the class of p-valently starlike, p-valently close-to-convex, uniformly p-valent close-to-convex and strongly starlike of order δ (0 < δ ≤ 1) in U. Our results generalize the results of Frasin [7].Mathematics Subject Classification (2010): 30C45.