- #1

Dixanadu

- 254

- 2

## Homework Statement

Hey guys,

So here's what we have:

Bose-Einstein function

[itex]g_{v}(z)=\frac{1}{\Gamma(z)}\int_{0}^{\infty}\frac{x^{v-1}dx}{z^{-1}e^{x}-1}[/itex]

Fermi function

[itex]f_{v}(z)=\frac{1}{\Gamma(z)}\int_{0}^{\infty}\frac{x^{v-1}dx}{z^{-1}e^{x}+1}[/itex]

And we have the series version of the Bose-Einstein function:

[itex]g_{v}(z)=\sum_{n=1}^{\infty}\frac{z^{n}}{n^v}[/itex]

So by comparing the definitions of f and g, i have to find a similar series expansion for f.

## Homework Equations

Given in the question!

## The Attempt at a Solution

No idea where to start..i need a hint!