# The Gamma function

• Dec 1st 2009, 12:47 PM
bkarpuz
The Gamma function
Dear friends,

I am here again to ask some help.
I want to learn the proof of Euler's reflection formula
$\Gamma(x)\Gamma(1-x)=\frac{\pi}{\sin(\pi x)}$.

Is there a reference that you can redirect me to concerning the Gamma function's properties?
Thanks a lot.
• Dec 1st 2009, 01:40 PM
Aryth
You can go here for a proof of Euler's Reflection Formula: Here.

You can go here for properties, derivations, etc. of the gamma functions: Here

Hope that helps.
• Dec 2nd 2009, 03:10 AM
mr fantastic
Quote:

Originally Posted by bkarpuz
Dear friends,

I am here again to ask some help.
I want to learn the proof of Euler's reflection formula
$\Gamma(x)\Gamma(1-x)=\frac{\pi}{\sin(\pi x)}$.

Is there a reference that you can redirect me to concerning the Gamma function's properties?
Thanks a lot.

An excellent book: Amazon.com: Gamma: Exploring Euler's Constant (Princeton Science Library) (9780691099835): Julian Havil, Freeman Dyson: Books
• Dec 2nd 2009, 03:17 AM
simplependulum
Quote:

Originally Posted by mr fantastic

I've just found out this book on the Internet

Gamma Exploring Euler's Constant

we can read this book ONLINE !!

but , question ... Is it illegal for us to read the book online ?

If so , please delete this post ....
• Dec 2nd 2009, 06:44 AM
bkarpuz
Quote:

Originally Posted by mr fantastic

Thanks a lot, this book can be found in some free e-book forums too.