Laplace-Stieltjes变换所定义的解析函数的准确零(R)级

Proximate zero order(R) of analytic function defined by laplace-stieltjes transforms

通过引入型函数的概念,在减弱相关条件的情形下研究了右半平面内收敛的Laplace-Stieltjes变换所定义的解析函数的准确零(R)级问题,得到了该解析函数具有准确零(R)级的两个充要条件。该结果将之前等价条件中的上极限精确到极限,使得结果更加准确。

The proximate zero order （R） of the analytic function defined with Laplace-Stieltjes transform with convergence in the right half plane was investigated under relaxing the related conditions by introdu- cing the concept of type function. Two necessary and sufficient conditions about the existence of the proxi mate zero order （R） of the analytic function was obtained,which replaced the upper limit in the previous equivalent condition into limit ccuratelv.