# 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: **552 times**

Last updated: **May 10 '12**

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

Why does jordan_form not work over inexact rings?

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

Simultaneously diagonalizing matrices exactly

Memory error mixing exact numbers and decimal ones

out of core exact linear algebra

Norm in UniversalCyclotomicField

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.