(adsbygoogle = window.adsbygoogle || []).push({}); need some urgent help with basic complex analysis (no proofs)

This forum is probably more appropriate. please forgive me for double posting.

Can someone give me examples of the following? (no proofs needed) (C is the complex set)

1. a non-zero complex number z such that Arg(z^2) is NOT equal to 2 Arg z

2. a region in C which is not a domain

3. a non-empty subset of C which has no accumulation points

4. a continuous function f: C -> C which is not differentiable anywhere

5. an entire function which is not a polynomial.

thanks a lot in advance!!

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Need some help with basic complex analysis (no proofs)

**Physics Forums | Science Articles, Homework Help, Discussion**