Certain properties of multivalent functions associated with an extended fractional differintegral operator

摘要

Let Ak(p) denote the class of functions of the form f(z)=zp+∑n=k∞ap+nzp+n (p,k∈N={1,2,3,…}) which are analytic in the open unit disk U={z:z∈Cand|z|<1}. By making use of the techniques of the differential subordination, we derive certain properties of the extended fractional differintegral operator Ωz(λ,p)(-∞<λ