- #1
NewGuy
- 9
- 0
I have need to calculate the residues of some functions of the form [itex]\frac{f(x)}{p(x)}[/itex] where p(x) is a polynomial. To be more specific I have already calculated the 2 residues of [itex]\frac{1}{x^2+a^2}[/itex]. That one was quite easy. Now I'm asked to calculate the residues of
[itex]\left(\frac{1}{x^2+a^2}\right)^2[/itex] and [itex]\frac{z^2}{x^2+a^2}[/itex]
How would I do that? I have trouble splitting the fraction up into a series. Is there any general tips for calculating residues of functions with polynomials in the denominator?
[itex]\left(\frac{1}{x^2+a^2}\right)^2[/itex] and [itex]\frac{z^2}{x^2+a^2}[/itex]
How would I do that? I have trouble splitting the fraction up into a series. Is there any general tips for calculating residues of functions with polynomials in the denominator?