半拟齐次函数芽的正规型和有限决定性

The Normal form and Finite determinancy of Semiquasihomogeneous Function Germs

运用半拟齐次函数芽f=f0+f′的性质:f^f0+∑ckek给出了一类解析函数芽jxnf的正规型的简单证明方法;同时给出了半拟齐次函数芽是有限M-R决定性的一个充分条件。

Using the property which is of semiquasihomogeneous function germs,a simple method is given to prove the normal form of analytic functions germs. At the same time, to be given a sufficient condition that semiquasihomogeneous function germs is finite determinacy.