Certain classes of meromorphic multivalent functions with positive coefficients

The main object of the present paper is to introduce certain novel classes of meromorphic multivalent functions Q(lambda)(*)[p, alpha, A, B], and Sigma(*)(p,lambda)[alpha, beta]. In this paper, we obtain coefficient estimates, distortion theorems, radii of convexity and closure theorems for the class Q(lambda)(*)[p, alpha, A, B]. Several interesting results involving the Hadamard product of functions belonging to the classes Q(lambda)(*)[p, alpha, A, B], Sigma(*)(p,lambda)[alpha, beta] and Sigma(*)(p)[alpha, beta] are also derived. Also integral transforms of functions in the classes Sigma(*)(p,lambda)[alpha, beta] and Sigma(*)(p)[alpha, beta] are studied. (c) 2007 Elsevier Ltd. All rights reserved.