# Thread: product of gamma functions

1. ## 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.

2. ## Re: product of gamma functions

Originally Posted by Random Variable
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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