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Thread: product of gamma functions

  1. #1
    Super Member Random Variable's Avatar
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    product of gamma functions

    What identity is used to show that  \Gamma \Big(\frac{1}{2} + \frac{in}{2} \Big) \ \Gamma \Big( \frac{1}{2} - \frac{in}{2} \Big) = \pi \ \text{sech} \Big(\frac{n \pi}{2}} \Big) ?

    EDIT: Never mind. It's just an application of the reflection formula.
    Last edited by Random Variable; Jun 19th 2011 at 02:27 PM.
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Re: product of gamma functions

    Quote Originally Posted by Random Variable View Post
    What identity is used to show that  \Gamma \Big(\frac{1}{2} + \frac{in}{2} \Big) \ \Gamma \Big( \frac{1}{2} - \frac{in}{2} \Big) = \pi \ \text{sech} \Big(\frac{n \pi}{2}} \Big) ?

    EDIT: Never mind. It's just an application of the reflection formula.
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