数学物理方法与复数特殊函数（英文）=AnisotropicMathematicalPhysicsandCompl
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四川成都
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作者张承宗
出版社中国宇航出版社
ISBN9787515908502
出版时间2014-12
装帧平装
开本16开
纸张胶版纸
定价158元
货号29363590
上书时间2024-07-24
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【内容简介】:
The method of separation of complex variable and the real principle in mathematical physics are suggested to solve the problem of partial deferential equations， which have odd order cross derivatives and the background of anisotropic physics， in Cartesian， skew， cylindrical and spherical coordinates. Several complex special functions to solve anisotropic mathematical physics equation are developed， It is noted that the many special functions are orthogonal with particular weight over particular domain and these corresponding complex cylindrical and spherical functions expansion theorems are also suggested. In solving the problem of isotropic physics equation some complex special functions in cylindrical coordinates can be reduced to the corresponding Bessel functions respectively. The author conducted a systematic study of some complex special functions. By these complex special functions， many analytical solutions for the problems of anisotropic physics are presented .The anisotropic wave equations are solved by the method of separation of complex variable and the complex special functions. The series of complex cylindrical function transforms are also developed and several complex function transforms are presented. The basic properties and tables of complex cylindrical function transform are also presented. For the problem of isotropic physics， the complex cylindrical function transform is reduce to Hankel Transform.
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