Consider the function f (z) = et? (a) Use the Cauchy-Riemann equations to show that f (z)is not analytic anywhere. (b) Show that if f (z)is purely imaginary, then 2n +1 0, ±1, ±2, .. n = . 8.

Topic: Complex variables and Laplace Transformation. please solve correctly. thanks

Consider the function f (z) = et?<br>(a) Use the Cauchy-Riemann equations to show<br>that f (z)is not analytic anywhere.<br>(b) Show that if f (z)is purely imaginary, then<br>2n +1<br>0, ±1, ±2, ..<br>n = .<br>8.<br>

Extracted text: Consider the function f (z) = et? (a) Use the Cauchy-Riemann equations to show that f (z)is not analytic anywhere. (b) Show that if f (z)is purely imaginary, then 2n +1 0, ±1, ±2, .. n = . 8.

Jun 05, 2022

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Consider the function f (z) = et? (a) Use the Cauchy-Riemann equations to show that f (z)is not analytic anywhere. (b) Show that if f (z)is purely imaginary, then 2n +1 0, ±1, ±2, .. n = . 8.

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