- #1

Airsteve0

- 83

- 0

## Homework Statement

Consider the integral of the function (1) around a large circle of radius R>>b which avoids the singularities of ([itex]e^{z}[/itex]+1)[itex]^{-1}[/itex]. Use this result to determine the sum (2) and (3).

## Homework Equations

(1) - f(z) = [itex]\frac{1}{(z^2-b^2)(e^z+1)}[/itex]

(2) - [itex]\sum[/itex][itex]\frac{1}{(2n+1)^2+a^2}[/itex] from 1 to ∞

(3) - [itex]\sum[/itex][itex]\frac{1}{(2n+1)^2}[/itex] from 1 to ∞

## The Attempt at a Solution

I understand the basics of contour integration and using residues to evaluate them; however, with this particular question I am lost at where I should start. I think that the contour should be a circle obvioulsy but going from the contour to the summation has me confused.