q-differ-integral operator on p-valent functions associated with operator on Hilbert space

Making use of multivalent functions with negative coefficients of the type f(z) = z(p) - Sigma(infinity)(zk)(k = p+1)(ak), which are analytic in the open unit disk and applying the q-derivative a q-differ-integral operator is considered. Furthermore by using the familiar Riesz-Dunford integral, a linear operator on Hilbert space H is introduced. A new subclass of p-valent functions related to an operator on H is defined. Coefficient estimate, distortion bound and extreme points are obtained. The convolution-preserving property is also investigated.