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Math Help - The Gamma function

  1. #1
    Senior Member bkarpuz's Avatar
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    Exclamation 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.
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  2. #2
    Super Member Aryth's Avatar
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    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.
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  3. #3
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    mr fantastic's Avatar
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    Quote Originally Posted by bkarpuz View Post
    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
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  4. #4
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    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 ....
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  5. #5
    Senior Member bkarpuz's Avatar
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    Thanks a lot, this book can be found in some free e-book forums too.
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