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Exact factorial/gamma values for half-integers

asked 2012-05-10 20:43:01 +0100

daniel.e2718 gravatar image

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

Particular Values of the Gamma Function

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answered 2012-05-10 21:25:51 +0100

Mike Hansen gravatar image

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

daniel.e2718 gravatar imagedaniel.e2718 ( 2012-05-10 22:31:42 +0100 )edit
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.

Jason Grout gravatar imageJason Grout ( 2012-05-10 23:23:47 +0100 )edit

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Asked: 2012-05-10 20:43:01 +0100

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Last updated: May 10 '12