hi to all can i please see the answer for this to check what i have been doing wrong thanks heaps.

(a) Where is the functionf(z) = z/(1+iz)^4 analytic?

(b) Findf(-i).

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- May 13th 2010, 07:58 PMsandycomplex analytic functions
hi to all can i please see the answer for this to check what i have been doing wrong thanks heaps.

(a) Where is the function*f*(*z*) = z/(1+*iz*)^4 analytic?

(b) Find*f*(-*i*).

- May 13th 2010, 08:09 PMvincisonfire
a) Plug f(z) in the Cauchy-Riemann equations and see where they are satisfied

b) Replace z by -i - May 13th 2010, 08:24 PMDrexel28
- May 16th 2010, 09:57 AMsandy
- May 16th 2010, 01:03 PMvincisonfire
It is a bit messy.

It may be simpler in this form :

$\displaystyle f(z) = \frac{z}{(1+iz)^4} = \frac{r_1e^{i\theta_1}}{(r_2e^{i\theta_2})^{4}} = \frac{r_1e^{i\theta_1}}{r_2^4e^{4i\theta_2}} $ - May 17th 2010, 03:10 AMsandy