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FullSimplify on Gamma functions

• To: mathgroup at smc.vnet.net
• Subject: [mg48099] FullSimplify on Gamma functions
• From: Oleksandr Pavlyk <pavlyk at phys.psu.edu>
• Date: Thu, 13 May 2004 00:08:26 -0400 (EDT)
• Organization: Penn State University; Department of Physics
• Reply-to: pavlyk at phys.psu.edu
• Sender: owner-wri-mathgroup at wolfram.com

Dear group,

Consider

In[1]:=
a[m_]:=(q1)^m * Gamma[q2]/Gamma[2*m+q3];

Then

In[2]:=
FullSimplify[a[m-1]/a[m]]

simplifies ratio of gamma functions just fine.
However

In[3]:=
FullSimplify[ a[m+1]/a[m] ]

fails to do so, leaving the ratio untouched.

FullSimplify[ (a[m+1]/a[m])^(-1) ]^(-1)

gives me what I expect.

I've been trying to assist FullSimplify with

ComplexityFunction->( If[Head[#]===Gamma,1,0]&)

to no avail. I would appreciate anybody illuminating
me on how to extend FullSimplify to handle this case.

Thank you in advance,
Sasha

• Follow-Ups:
  • Re: FullSimplify on Gamma functions
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>