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Complex Variables

  • Thread starter MEM33
  • Start date
  • #1
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Homework Statement



Determine the set on which f(z) = 1/(z^3 +1) is analytic and compute its derivative.

Homework Equations



Hint: you do not need to appeal to the Cauchy-Riemann equations

The Attempt at a Solution


Total stuck with this one. everything we have done this far has been using the c-r equations.

Thanks for any input.
 

Answers and Replies

  • #2
Mute
Homework Helper
1,388
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Ask yourself:

1) Are there any values of z for which f(z) is not defined? If so, what are they, and what does it tell you about the analyticity of the function?

2) When can you treat taking a derivative of a complex function ##\frac{df(z)}{dz}## just like taking a derivative of a real function?
 
  • #3
6,054
390
Are the function and derivatives defined everywhere?
 

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