Anyone here know about Residues in Complex Variable theory?

[hypn0tik]

Anyone?

 

[skim milk]

*brain explodes*

 

[RaynorWolfcastle]

I do, but I really don't feel like looking it up right now; I'll check it out tomorrow if you like.

 

[hypn0tik]

Originally posted by: RaynorWolfcastle
I do, but I really don't feel like looking it up right now; I'll check it out tomorrow if you like.

Hahaha. Well, I have a quiz tomorrow hence the late night post.

Don't worry about it though, I think I'll be ok.

 

[shimsham]

Originally posted by: hypn0tik

Originally posted by: RaynorWolfcastle
I do, but I really don't feel like looking it up right now; I'll check it out tomorrow if you like.

Hahaha. Well, I have a quiz tomorrow hence the late night post.

Don't worry about it though, I think I'll be ok.

then tell us.

 

[hypn0tik]

Originally posted by: shimsham

Originally posted by: hypn0tik

Originally posted by: RaynorWolfcastle
I do, but I really don't feel like looking it up right now; I'll check it out tomorrow if you like.

Hahaha. Well, I have a quiz tomorrow hence the late night post.

Don't worry about it though, I think I'll be ok.

then tell us.

State the location of all the poles for the following function and give the order of each ple. Use the principal branch of the given functions if there is any ambiguity.

1/[cosh(z) -ae^z] where a is real.

The poles occur when:
cosh(z) -ae^z = 0
1/2 e^z +1/2 e^-z -ae^z = 0
(1-2a)e^z +e^-z = 0
(1-2a)e^2z + 1 = 0
e^2z = 1/(2a-1)
z = 1/2 log (1/(2a-1))

Right?

There are no answers in the back so I can't verify my result.

 

[shimsham]

Originally posted by: hypn0tik

Originally posted by: shimsham

Originally posted by: hypn0tik

Originally posted by: RaynorWolfcastle
I do, but I really don't feel like looking it up right now; I'll check it out tomorrow if you like.

Hahaha. Well, I have a quiz tomorrow hence the late night post.

Don't worry about it though, I think I'll be ok.

then tell us.

State the location of all the poles for the following function and give the order of each ple. Use the principal branch of the given functions if there is any ambiguity.

1/[cosh(z) -ae^z] where a is real.

The poles occur when:
cosh(z) -ae^z = 0
1/2 e^z +1/2 e^-z -ae^z = 0
(1-2a)e^z +e^-z = 0
(1-2a)e^2z + 1 = 0
e^2z = 1/(2a-1)
z = 1/2 log (1/(2a-1))

Right?

There are no answers in the back so I can't verify my result.

uhh...er....

drpizza? einstein?

 

[hypn0tik]

Originally posted by: shimsham

Originally posted by: hypn0tik

Originally posted by: shimsham

Originally posted by: hypn0tik

Originally posted by: RaynorWolfcastle
I do, but I really don't feel like looking it up right now; I'll check it out tomorrow if you like.

Hahaha. Well, I have a quiz tomorrow hence the late night post.

Don't worry about it though, I think I'll be ok.

then tell us.

State the location of all the poles for the following function and give the order of each ple. Use the principal branch of the given functions if there is any ambiguity.

1/[cosh(z) -ae^z] where a is real.

The poles occur when:
cosh(z) -ae^z = 0
1/2 e^z +1/2 e^-z -ae^z = 0
(1-2a)e^z +e^-z = 0
(1-2a)e^2z + 1 = 0
e^2z = 1/(2a-1)
z = 1/2 log (1/(2a-1))

Right?

There are no answers in the back so I can't verify my result.

uhh...er....

drpizza? einstein?

Oh, I should mention, the book uses the notation log to represent a logarithm of base e. I perfer ln myself, but I'll go by the book.

 

[hypn0tik]

I got the previous problem. Now I have bigger and better problems on this topic which I will deal with tomorrow right before my quiz. Wish me luck.

Good night.