Convolution Properties of p-Valent Functions Associated with a Generalization of the Srivastava-Attiya Operator

Let p denote the class of functions analytic in the open unit disc and given by the series f(z)=zp+∑n=p+1∞anzn. For f∈p, the transformation ℐp,δλ:p→p defined by ℐp,δλf(z)=zp+∑n=p+1∞((p+δ)/(n+δ))λanzn,  (δ+p∈ℂ∖ℤ0-,  λ∈ℂ;  z∈), has been recently studied as fractional differintegral operator by Mishra and Gochhayat (2010). In the present paper, we observed that ℐp,δλ can also be viewed as a generalization of the Srivastava-Attiya operator. Convolution preserving properties for a class of multivalent analytic functions involving an adaptation of the popular Srivastava-Attiya transform are investigated