product of gamma functions

**Random Variable** · June 19th 2011, 12:33 PM

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.

**Drexel28** · June 19th 2011, 03:15 PM

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.

Do you have this book? If not, you should get it. All the kind of questions you ask and much, much more are in there. It is a great book.

Thread: product of gamma functions

LinkBack

Thread Tools

Display

product of gamma functions

Re: product of gamma functions

Similar Math Help Forum Discussions

gamma functions

Solving integrals using Gamma functions

Gamma Function- Limit/ Product Representation-

Gamma functions

Beta and gamma functions

Search Tags