Neighborhoods of a Certain Family of Multivalent Functions Defined by Using a Fractional Derivative Operator

Making use of a fractional derivative operator, we introduce and investigate two new classes K(j)(p, lambda, b, beta) and L(j)(p, lambda, b, beta, mu) of multivalently analytic functions of complex order. In this paper we obtain the coefficient estimates and inclusion relationships involving the (j, delta) - neighborhood of various subclasses of multivalently analytic functions of complex order.