Why Does lnZ Not Represent an Isolated Singularity?

[mritunjay]

why lnZ is not isolated singularity?

 

[Dick]

Because you can't define ln(z) to be holomorphic in the disk after removing 0. It has multiple branches.

 

[logmarie]

Questions on Poles

I am trying to do my homework on:

Integration form 0 to infinity of [( log x)^4 ]/[1+x^2] dx =

by first defining what is a branch cut and how it will fit into the above integrand.

Thanks

Marie

 

[Dick]

I am trying to do my homework on:

Integration form 0 to infinity of [( log x)^4 ]/[1+x^2] dx =

by first defining what is a branch cut and how it will fit into the above integrand.

Thanks

Marie

I don't recommend posting a brand new question onto an existing thread. Start a new one. While you're doing that figure out how to start the problem so you can post an attempt. Where are the poles?

 

[logmarie]

How do I start the new threads?

Thanks

 

[logmarie]

The poles is x= +/- i

 

[Dick]

How do I start the new threads?

Thanks

Go to the Calculus and Beyond forum and under Forum Tools you'll find start new thread.