Help me please with this one:

Locate the zeros of

and show that they aresimple

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- Feb 2nd 2011, 03:20 AMsinichkoRouché's theorem
Help me please with this one:

Locate the zeros of

and show that they are*simple* - Feb 2nd 2011, 03:28 AMtonio
- Feb 2nd 2011, 03:57 AMFernandoRevilla

If it is compulsory to apply Rouche's theorem as title says, then, for all such that :

According to Rouche's theorem, the number of zeros of in including multiplicities is equal to the number of zeros of in . That is, .

**Tonio**'s hint for the restriction of to allows to locate those two zeros and prove that both are simple.

Fernando Revilla