let u(x, y) = e^ax cos(by) be the real part of a function f(z)= u(x, y)...

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let u(x, y) = e^ax cos(by) be the real part of a function f(z)= u(x, y) + iv(x, y) of the complex variable z= x+iy, where a & b are Real constants and a is not equal to 0 . The function f(z) is complex analytic everywhere in the complex plane & and only if. let u(x, y) = e^ax cos(by) be the real part of a function f(z)= u(x, y) + iv(x, y) of the complex variable z= x+iy, where a & b are Real constants and a is not equal to 0 . The function f(z) is complex analytic everywhere in the complex plane & and only if.

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