论文标题
接近秩序和应用的概括
Generalization of proximate order and applications
论文作者
论文摘要
我们介绍了准近端的概念，该秩序是对近端秩序的概括，并允许我们有效地研究其有序和较低生长顺序不同的分析功能。我们证明了准近端的存在定理，即维龙定理的近距离定理。作为应用，我们对单位光盘中分析功能的渐近行为进行了概括和补充。
We introduce a concept of a quasi proximate order which is a generalization of a proximate order and allows us to study efficiently analytic functions whose order and lower order of growth are different. We prove an existence theorem of a quasi proximate order, i.e. a counterpart of Valiron's theorem for a proximate order. As applications, we generalize and complement some results of M. Cartwright and C.~N.~Lin\-den on asymptotic behavior of analytic functions in the unit disc.
