Recall the definition of the Gamma function:

Using integration by parts, prove the functional equation:

Then use mathematical induction to prove that for positive integers we have

**Incomplete.**

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Stumbling Robot

A Fraction of a Dot
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Use integration by parts to prove the functional equation of the Gamma function

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### Point out an error, ask a question, offer an alternative solution (to use Latex type [latexpage] at the top of your comment):

Recall the definition of the Gamma function:

Using integration by parts, prove the functional equation:

Then use mathematical induction to prove that for positive integers we have

**Incomplete.**

It seems rori simply didn’t have time for this one, as otherwise it seems quite a straightforward application of integration by parts, and then use that result to prove the induction step.

let me see if I can give a good answer