关于Coulson积分公式的注释  

Note on the Coulson integral formula

作　　者：王春云[1] 火博丰[1] 胡平[1] 

机构地区：[1]青海师范大学数学系,青海西宁810008

出　　处：《青海师范大学学报（自然科学版）》2014年第1期1-4,共4页Journal of Qinghai Normal University(Natural Science Edition)

摘　　要：Coulson积分公式最早是由Coulson在1940年计算一类化学分子的能量时得到的.Gutman1970年将它推广到所有图.从那时起,这一方法逐渐成为图能量计算中一个重要的工具.我们发现Coulson积分公式在一般复多项式的情形并不正确,并注意到Gutman等人曾用若当引理,留数定理等复变方法对其进行了修正.本文用初等实分析的方法对这一问题做出了修正.Coulson integral formula was obtained by Charles Coulson to calculate the energy of a kind of chemical molecule as early as 1940. Gutman generalized the method to all graph1970s. From then on , it gradually plays an important role in the theory of graph energy. We find that Coulson integral formula is not true for the general real polynomials and noticed that Gutman et al. had used the complex variable method such as Jordan lemma, residue theorem and others to modify and generalize it to all complex polynomials. In this paper, we discover an elementary real analytic method to modify it.

关 键 词：图能量 Coulson积分公式 夹逼定理 特征多项式 矩阵 

分 类 号：O157.5[理学—数学]