Question
Asked Feb 24, 2019
1482 views

Verify that the Cauchy-Riemann equations are satisfied for the following functions. Where z is a complex variable z=x+iy 

a) ez^2

b) cos(2z)

c) sinh(4z)

 

 

check_circle

Expert Answer

Step 1

To verify the Cauchy -Riemann equations for the given analytic functions f(z)

Step 2

Let f(z)=u(x,y)+iv(x,y) be an analytic function of z, with u and v the real and imaginary parts of f(z). Then u and v (as real functions ) satisfy the Cauchy -Riemann equations. 

fullscreen
Step 3

(a) Cauchy Riemann for f(z)=...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Advanced Math