Bounds for the Real Parts and Arguments of Normalized Analytic Functions Defined by the Srivastava-Attiya Operator

摘要

In this paper, we derive some bounds for the real parts and arguments of the functionals given by where J_(s,b) is the widely-investigated Srivastava-Attiya operator defined on the class of normalized analytic functions f in the open unit disk D:={z:z∈C and |z| < 1} with suitable real parameters s and b. These results reduce upon specialization to some well-known inclusion relationships for several classes of functions with given geometric properties. We also make a comparison between one of the results obtained here and an already known result for some specific cases.