The Grouth of Laplace-Stieltjes Transform Convergent Only in the Right Half Plane 

Abstract:

      On the analytic functions defined by exponential series convergent only in the right half plane, Yu Jiarong introduced the order (R) and the order (R-H) and studied some exponential series, Yu Jiuman introduced the proximate zero order (R) of the functions and obtained some results. For the study of the grouth of Laplace Stieltjes transform, we introduce the order (R) and get some results similar to the case of exponential series.