Here is my problem:(adsbygoogle = window.adsbygoogle || []).push({});

I need to integrate:

[tex] (\frac{sin \alpha z}{\alpha z})^2\frac{\pi}{sin\pi z}[/tex]

around a circle of large radii and prove:

[tex]\sum_{m=1}^\infty(-1)^{n-1}

(\frac{sin m\alpha}{m\alpha})^2

=\frac{1}{2}[/tex]

I'm kind stumped.

I've been looking at books for a while now and the only useful things i've discovered are:

[tex]\frac{\pi}{sin \pi z}=\Gamma(z)\Gamma(1-z)[/tex]

and also

[tex] \frac{sin z}{z}=\sum_{n=0}^\infty C_n z^{2n-1}[/tex]

Can anyone help me out?

Thanks!

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Hard problem

Loading...

Similar Threads - Hard problem | Date |
---|---|

Very hard modelling and problem solving Calculus Question! | Mar 7, 2013 |

Hard problem(integration) | Oct 16, 2010 |

Really hard intergration problem\ take a look | May 10, 2009 |

Hard Problem | Dec 20, 2007 |

**Physics Forums - The Fusion of Science and Community**