拉普拉斯-斯蒂杰斯变换所定义的函数在收敛半平面的准确零(R)级

The Proximate Zero Order(R)of a Function Defined by a Laplace-Stieltjes Transform in Its Half Plane Convergence

引进了Laplace-Stieltjes变换所定义的函数在收敛半平面准确零(R)级的概念。

In this paper,the concept of proximate zero order(R)of a function defined by a Laplace-Stieltje stransform in its half plane of convergence is introduced and a new theorem is given. lim(log+M(σ,F))/(logU(1/σ))=c 2°there exists an increasing sequence of positive integers{n_,} such that lim(log+A_n~*)/(logU(λ_(nv)))=c lim(logλ_(nv+1))/(logλ_(nv))=1(0<c≤∞)