Kim, Yong ChanLee, Sang HunSrivastava, H.M.2010-04-222010-04-2219902010-04-22http://hdl.handle.net/1828/2644Making use of several families of convolution operators, we introduce and study a certain general class P_\alpha(\beta) (0 \le \alpha<1; \beta \ge 0) of analytic functions in the open unit disk U. We also investigate the relationships between the class P_\alpha(\beta) and the Hardy space H^{00} (of bounded analytic functions in U). Finally, we consider some interesting applications of the results presented here to a class of generalized hypergeometric functions.entechnical reports (mathematics and statistics)Some properties of convolution operators in the class P_\alpha(\beta)Technical ReportDepartment of Mathematics and Statistics