I have observed that Maple software could "simplify" expressions like 
`GAMMA(1/2 + x) * GAMMA(1/2 - x)` as early as in version V release 4 or 
earlier (before 1999).  It could also "expand" `GAMMA(x + 1)` to `x * 
GAMMA(x)`.  I tried to find out if Sage or Maxima can do this, but didn't 
find anything working.

Are such "simplifications" and "expansions" involving Gamma function 
available in Sage?

Thank you,

Alexey.

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