State the domain of analyticity of f(2)=ez. Find the real and imaginary parts u(x, y) and...
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State the domain of analyticity of f(2)=e¹z. Find the real and imaginary parts u(x, y) and v(x, y) of the function, show that these satisfy the Cauchy-Riemann equations, and find f'(z) in terms of 2. State the domain of analyticity of f(2)=e¹z. Find the real and imaginary parts u(x, y) and v(x, y) of the function, show that these satisfy the Cauchy-Riemann equations, and find f'(z) in terms of 2.
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