# Exact factorial/gamma values for half-integers

is it possible to return exact values of (n+1/2)! and ?(n+1/2) for *n* is an integer?

Exact factorial/gamma values for half-integers

is it possible to return exact values of (n+1/2)! and ?(n+1/2) for *n* is an integer?

add a comment

3

Sage already supports this (at least as of 4.8):

```
sage: factorial(3/2)
3/4*sqrt(pi)
sage: gamma(5/2)
3/4*sqrt(pi)
```

Ah. It doesn't for decimal inputs, like 1.5, but it does for 3/2. Thanks

2

If you give a numeric input, it'll give you a numeric output. If you want an exact output, give it an exact input.

Asked: **
2012-05-10 13:43:01 -0500
**

Seen: **530 times**

Last updated: **May 10 '12**

Two ways of integrating x↦xⁿsin(x) give contradictory results. Bug?

out of core exact linear algebra

Is there a way of doing gamma matrix manipulation in sage?

How do I evaluate sum() containing factorial()?

Simultaneously diagonalizing matrices exactly

Norm in UniversalCyclotomicField

Memory error mixing exact numbers and decimal ones

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.