Certain properties of multivalent functions associated with an extended fractional differintegral operator
Abstract Let A k ( p ) denote the class of functions of the form f ( z ) = z p + ∑ n = k ∞ a p + n z p + n ( p , k ∈ N = { 1 , 2 , 3 , … } ) which are analytic in the open unit disk U = { z : z ∈ C and | z | 1 } . By making use of the techniques of the differential subordination, we derive certain properties of the extended fractional differintegral operator Ω z ( λ , p ) ( - ∞ λ p + 1 ; p ∈ N ) (introduced recently by Patel and Mishra) defined in the class A k ( p ) .