Some properties of multivalent analytic functions associated with an integral operator

Abstract

Let A(p) denote the class of functions of the form f(z) = zp Σ∞k=1+p akzk (p ∈ N = {1, 2, 3,...}) which are analytic in the open unit disk U = {z : z ∈ C and |z| < 1} By making use of the Noor integral operator, we obtain some interesting properties of multivalent analytic functions.

Keywords

• analytic function
• multivalent function
• hadamard product (or convolution)
• the noor integral operator