An application of generalized distribution series on certain classes of univalent functions associated with conic domains

Abstract

The purpose of the present paper is to obtain some necessary and sufficient conditions for generalized distribution series belonging to the classes UCV(α, β), SP(α, β), UCV(β), C(λ), S*(λ) and obtain some inclusion relation between the classes Rτ(A, B) and UCV(α, β), UCV(β), C(λ). Finally, we attain some necessary and sufficient conditions of integral operator associated with the generalized distribution series for the classes UCV(α, β), UCV(β) and C(λ). Some particular cases of our main results are briefly indicated.

Keywords

• generalized distribution
• analytic
• univalent functions
• uniformly convex function and uniformly starlike functions