初等对称多项式的多项式表出的三类对称多项式  

Three Kinds of Symmetric Polynomial Expressed by the Elementary Symmetric Polynomial

作　　者：于萍[1] 陈文争[2] 

机构地区：[1]西安联合大学数学系,陕西西安710061 [2]咸阳师范专科学校数学系,陕西咸阳712000

出　　处：《西安联合大学学报》2000年第2期40-44,共5页

摘　　要：对称多项式基本定理在理论上已经解决了对称多项式用初等对称多项式的多项式表出的问题 ,但具体实施这一表出并非易事 .本文给出三类对称多项式的初等对称多项式表达式 。It has been proved theoretically by the basic theorem of symmetric polynomial that any symmetric polynomial can be expressed by elementary symmetric polynomial. But this expression is not easy to write out. In this paper, the elementary symmetric polynomial expressions of three kinds of symmetric polynomial and their corresponding norm calculation is given out.

关 键 词：对称多项式 广义牛顿公式 σ-多项式 多项式表出 

分 类 号：O151.2[理学—数学]