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| THE SUM OF DEFICIENCIES OF ENTIRE FUNCTION ON $C^n$ |
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Citation： |
JIN Lu,YE Yasheng.THE SUM OF DEFICIENCIES OF ENTIRE FUNCTION ON $C^n$[J].Chinese Annals of Mathematics B,2003,24(2):221~226 |
| Page view： 1117
Net amount： 989 |
Authors： |
JIN Lu; YE Yasheng |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.10271029). |
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| Abstract： |
This paper proves that: Let $f$ be an entire function of finite order
$\lambda$ on $\bold{C}^n$. Then
(1) $\displaystyle\sum_{a\in \bold{C}}\delta(a,f) \leq
1-k(\lambda)$, where $k(\lambda)$ is a nonnegative constant
depending only on $\lambda$;
(2) If $\displaystyle\sum_{a\in \bold{C}} \delta (a,f)=1$, then
$\lambda$ is a positive integer and equals the lower order of
$f$. |
Keywords： |
Entire function, Meromorphic map, Order, Defect relation, Characteristic
function |
Classification： |
32H30 |
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