| 某些二元函数芽的一个特殊性质和它们的标准形式 |
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| 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 |
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| 作者姓名： | 熊宗洪 石昌梅 岑燕斌 |
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| 作者单位： | 贵州民族学院,数学与计算机科学学院,贵州,贵阳,550025;贵州师范学院,数学与计算机科学系,贵州,贵阳,550018;黔南民族师范学院,数学系,贵州,都匀,558000 |
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| 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 |
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| 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．
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| 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 |
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| Authors: | XIONG Zong-hong Shi Chang-mei CEN Yan-bin |
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| Affiliation: | 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 |
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| 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. |
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| Keywords: | function germs of two variables 4-open orbit special property normal forms |
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