On the Growth of Hyperspherical Series
Received:May 29, 2000  
Key Words: entire function   hyperspherical series   normal growth.  
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Author NameAffiliation
WANG An-bin Hunan Institute of Science and Technology
Yueyang
China 
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Abstract:
      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) =(?)|f(a + bi)| , maximal term μ(a) and central norm v(a) . It is proved that(?).Moreover, a necessary and sufficient condition is given for f(z) = (?) to be regularly growed.
Citation:
DOI:10.3770/j.issn:1000-341X.2003.03.022
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