- #1

RJLiberator

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## Homework Statement

Verify that each of the following functions is entire:

f(z)=(z^2-2)e^(-x)e^(-iy)

## Homework Equations

The Cauchy Riemann equations u(x,y) = ______ and v(x,y) = ______

u_y=-v_x

u_x=v_y

## The Attempt at a Solution

So, I've done a few of these problems and understand that to prove it's entire we need to show that the C-R equations exist for all z and are satisfied. Also, noting that Ux Uy Vx Vy are continuous.

My problem is, I'm not sure how to get this into correct form. What is u(x,y) =?

Do I distribute first? How to change this function into something that works?

Would it be

(z^2-2)/(e^x*e^iy)

Is that a good start? :/