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.