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Ted123

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## Homework Statement

Express [itex]\Gamma (n+\frac{1}{2})[/itex] for [itex]n\in\mathbb{Z}[/itex] in terms of factorials (separately for positive and negative [itex]n[/itex]).

## Homework Equations

## The Attempt at a Solution

I've got for [itex]n\geqslant 0[/itex] that [tex]\displaystyle \Gamma \left(n+\frac{1}{2} \right) = \frac{(2n-1)!}{2^n} \sqrt{\pi}[/tex] but what do I do when [itex]n<0[/itex] ?