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| 某些二元函数芽的一个特殊性质和它们的标准形式 | |
| 引用本文： | 熊宗洪,石昌梅,岑燕斌.某些二元函数芽的一个特殊性质和它们的标准形式[J].贵州师范大学学报(自然科学版),2010,28(1):84-87. |
| 作者姓名： | 熊宗洪 石昌梅 岑燕斌 |
| 作者单位： | 1. 贵州民族学院,数学与计算机科学学院,贵州,贵阳,550025 2. 贵州师范学院,数学与计算机科学系,贵州,贵阳,550018 3. 黔南民族师范学院,数学系,贵州,都匀,558000 |
| 基金项目： | 贵州科学技术基金([2005]2004号);;贵州民族学院学生科研基金 |
| 摘 要： | 在文1]中，给出了带有任意4次齐次多项式Q（x，y）的函数芽f1（z，y）=x^2y＋Q（x，y）的一个特殊性质：芽f1的轨道是4-开的等价于Q（x，y）中，项的系数不为零．将芽工的这一特殊性质推广到某些具有类似形式的函数芽中去，且给出了它们的标准形式． |
| 关 键 词： | 二元函数芽 轨道为4-开 特殊性质 标准形式 |
A special property of some function germs with two variables and their normal forms |
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| XIONG Zong-hong,Shi Chang-mei,CEN Yan-bin.A special property of some function germs with two variables and their normal forms[J].Journal of Guizhou Normal University(Natural Sciences),2010,28(1):84-87. | |
| Authors: | XIONG Zong-hong Shi Chang-mei CEN Yan-bin |
| Institution: | 1.School of Mathematics and Computer Science/a>;Guizhou College for Nationalities/a>;Guiyang/a>;Guizhou 550025/a>;China/a>;2.Department of Mathematics and Computer Science/a>;Guizhou Normal College/a>;Guizhou 550018/a>;3.Department of Mathematics/a>;Qiannan Normal College for Nationalities/a>;Duyun/a>;Guizhou 58000/a>;China |
| Abstract: | A special property of the function germs f1(x,y)=x2y+Q(x,y) with an arbitrary homogeneous polynomial Q(x,y) of degree 4 was given in 1].The orbit of f1(x,y) is 4-open,which is equivalent to the fact that the coefficient of y4in Q(x,y) is non-zero.In this paper,the special property is generalized to some function germs with similar forms and their normal forms are given. |
| Keywords: | function germs of two variables 4-open orbit special property normal forms |
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