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Student Support Forum: 'Simplify factorial expressions' topicStudent Support Forum > General > "Simplify factorial expressions"

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Muneerah
04/27/12 4:46pm

I tried the following
f[n_] := ((3 n + 1)! (2 n - 5)! )/( (n + 1)!)^2
Using FullSimplify[f[n-1]/f[n]]
I got
(1 + n)^2/(6 n (-15 + 11 n + 133 n^2 - 99 n^3 + 18 n^4))
which is fine (Mathematica simplified the factorial expression). However FullSimplify[f[n-2]/f[n]] resulted in
(Gamma[2 + n]^2 Gamma[-8 + 2 n] Gamma[-4 + 3 n])/(
Gamma[n]^2 Gamma[-4 + 2 n] Gamma[2 + 3 n])
The factorials were left in. Any ideas on how to get Mathematica to simplify this to a rational function?

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Subject (listing for 'Simplify factorial expressions')
Author Date Posted
Simplify factorial expressions Muneerah 04/27/12 4:46pm
Re: Simplify factorial expressions Yoav 04/29/12 09:27am
Re: Simplify factorial expressions jf 04/30/12 8:11pm
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