关于超球级数的增长性质  

On the Growth of Hyperspherical Series

作　　者：王安斌[1] 

机构地区：[1]湖南理工学院数学系,湖南岳阳414000

出　　处：《Journal of Mathematical Research and Exposition》2003年第3期510-514,共5页数学研究与评论（英文版）

摘　　要：本文给出了超球级数所定义的整函数的极大项μ(a),中心指标υ(a),极大模M(a)的增长关系及它们之间的不等式,还讨论了正规增长性。Let Pn(a,a) (z) be n-degree hyperspherical holynomials with 0 ≤Reα≤1/2, and f(z) (z) an entire function. In this paper, some inequalities are found among M(a) = max |f(a + bi)| , maximal term μ(a) and central norm v(a) . It is proved that liminf limsup Moreover, a necessary and sufficient condition is given for f(z) = (z) to be regularly growed.

关 键 词：整函数 超球级数 极大项 中心指标 正规增长 

分 类 号：O174.52[理学—数学]