双曲变换和一道考研题一般形式的解  

Hyperbolic Transformation and Solution of General Form of a Postgraduate Entrance Examination Question

作　　者：顾澄琪 GU Chengqi(Institute of Mathematics, Yangzhou University, Yangzhou 225002, China)

机构地区：[1]扬州大学数学科学学院,江苏扬州225002

出　　处：《高等数学研究》2022年第2期6-7,10,共3页Studies in College Mathematics

基　　金：扬州大学教改项目(YZUJX2020-A2).

摘　　要：从探索一道考研题一般形式新的求解方法出发,本文针对积分区域边界含有双曲线以及过原点的射线的一类二重积分问题,巧妙地采用双曲变换和摄动方法,使得求解大为简洁.Exploring for new solution method for a general form of a postgraduate entrance examination question,this article focuses on a type of double integrals on a region enclosed by hyperbola and rays passing through the origin.The hyperbolic transformation and perturbation method are used to make the evaluation process much simpler.

关 键 词：双曲变换 摄动方法 二重积分 

分 类 号：O1712.2[理学—数学]