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《Journal of Qinghai Normal University(Natural Science Edition)》 2014-01
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Note on the Coulson integral formula

WANG Chun-yun;HUO Bo-feng;HU Ping;Department of Mathematics,Qinghai Normal University;  
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.
【CateGory Index】: O157.5
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 XU Xiu-zhen(Department of Mathematics,Anhui Institute of Education,Hefei,230061,China);Counterexample in the Functions of a Complex Variable[J];Journal of Anhui Institute of Education;2005-06
2 XU Xiu-zhen(Department of Mathematics,Anhui Institute of Education,Hefei 230061,China);Discussion of Fractional Lineal Transformation in Conformal Infinite Eigenvector[J];Journal of Anhui Institute of Education;2006-06
3 LAN Jun,WENG Jinwu(Department of Mathematics,Putian College,Putian 351100,Fujian,China);The Root of Unit and Primitive Root[J];Journal of Ankang Teachers College;2006-02
4 Wang Haiying(Department of Mathematics,Anshun College,Anshun 561000,Guizhou,China);L'Hospital Rules in the jugate Analysis Functions[J];Journal of Anshun University;2009-03
5 LIANG Hui(Gaozhou Normal College,Maoming University,Maoming,Guangdong 525000,China);Several Equivalent Conditions of Analytic Function's Proofs and Applications[J];Journal of Bijie University;2010-04
6 ZHANG Ping-ping(Department of Mathematics and Information Science,Binzhou University,Binzhou 256603,China);Calculation of Radical Function[J];Journal of Binzhou University;2009-06
7 ZHANG Ping-ping(Department of Mathematics and Information Science,Binzhou University,Binzhou 256603,China);One-variable Real Analytic Function and Complex Analytic Function[J];Journal of Binzhou University;2010-06
8 LU San-ya1,2,ZHU Cheng-chun1,XU Qing-hua1 (1.Institute of Mathematics and Informatics,Jiangxi Normal University,Nanchang 330022,China;2.Department of Science Faculty,Nanchang Institute of Technology,Nanchang 330099,China);On Growth and Covering Theorems and Coefficients Estimates for a Subclass of Spirallike Functions of Type β[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2009-03
9 YI Cai-feng,PAN Heng-yi(College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China);The Cauchy Integral Formula and Its Application in Integration[J];Journal of Jiangxi Normal University(Natural Science Edition);2010-01
10 LI Ai-ping,YI Cai-feng,TAN Zu-shan(College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China);Estimates for the Zeros of Differences of Meromorphic Functions[J];Journal of Jiangxi Normal University(Natural Science Edition);2010-02
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