## Partial Fraction Decomposition

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.

### Partial Fraction Decomposition

Dear Friends,

I have an equation of the form:

1/((1+a x) (1+0.5 b x)^m)

How I can do the partial fraction?

I am now reading a paper that derived an equation like above.

Thank you very much.
barznjy

Posts: 3
Joined: Tue Sep 24, 2013 9:36 pm

### Re: Partial Fraction Decomposition

barznjy wrote:I have an [expression] of the form:

1/((1+a x) (1+0.5 b x)^m)

How I can do the partial fraction [decomposition]?

Lacking a value for "m", I see no manner in which to proceed. Are you certain that partial-fraction decomposition is the method you are required to use?
nona.m.nona

Posts: 256
Joined: Sun Dec 14, 2008 11:07 pm

### Re: Partial Fraction Decomposition

nona.m.nona wrote:
barznjy wrote:I have an [expression] of the form:

1/((1+a x) (1+0.5 b x)^m)

How I can do the partial fraction [decomposition]?

Lacking a value for "m", I see no manner in which to proceed. Are you certain that partial-fraction decomposition is the method you are required to use?

m is unknown.

I can't attach the paper that he used this formula, but I can put the link of the paper.

how I can attach image from my computer in to the post?
barznjy

Posts: 3
Joined: Tue Sep 24, 2013 9:36 pm

### Re: Partial Fraction Decomposition

barznjy wrote:m is unknown.

Yes. And this presents a difficulty.

barznjy wrote:I can't attach the paper that he used this formula, but I can put the link of the paper.

Use of that link requires one to purchase a membership. I suspect that posting a copy, here or elsewhere, would be a membership violation of some sort.

Since you seem to have all the steps in some sort of completed computation, perhaps you could type out what those steps are, providing specification of the point at which you are becoming confused. Thank you.
nona.m.nona

Posts: 256
Joined: Sun Dec 14, 2008 11:07 pm

### Re: Partial Fraction Decomposition

nona.m.nona wrote:
barznjy wrote:m is unknown.

Yes. And this presents a difficulty.

barznjy wrote:I can't attach the paper that he used this formula, but I can put the link of the paper.

Use of that link requires one to purchase a membership. I suspect that posting a copy, here or elsewhere, would be a membership violation of some sort.

Since you seem to have all the steps in some sort of completed computation, perhaps you could type out what those steps are, providing specification of the point at which you are becoming confused. Thank you.

The paper is ieee explorer database, Yes it need that you have an ieee account. I have the soft-copy of the paper but I don't know how to put here.
the paper just write the final solution of the above equation, he only mention he did that by partial fraction. he did not give any steps.
is there any way that I put image from my computer to this post? or if you want i will send you by email.
the solution of the above equation is not easy to write here, it contain summation and partial derivative.
barznjy

Posts: 3
Joined: Tue Sep 24, 2013 9:36 pm

### Re: Partial Fraction Decomposition

barznjy wrote:is there any way that I put image from my computer to this post?

Post an image somewhere web-viewable. Then return here and post a link to that image. Or, on the other hand, use the LaTeX coding available on the forums to enter the text yourself. Thank you.
nona.m.nona

Posts: 256
Joined: Sun Dec 14, 2008 11:07 pm