3. 设u=(x^3+y^3)/(x^2+y^2) ,z≠0,f(z)=u+iu .,z≠0, du/dx=du/dy; du/dx/-du/dy=0 满足R-C 条件,f(z)在z=0间断,不可微4设.f(z)=u+iv(1)v=0, R-C condition==>du/dx=du/dy=0, u=常数(2)f(z),f('(z)解析,f'(z)=du/dx+idv/dxf'(z)=du/dy-idu/dyR-C 条件==>f(z)=常数(3)u=常数, R-C 条件 ==>v=常数5. z=x+iyz^2=x^2+2ixy-y^2x z^2=x^3-x(y^2) +2ix^2 y==...
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