[tex]\frac{\beta^\alpha \Gamma(\alpha + 1)}{\Gamma (\alpha) \beta^{\alpha+ 1}}[/tex](adsbygoogle = window.adsbygoogle || []).push({});

= [tex]\frac{\alpha \Gamma (\alpha)}{ \beta \Gamma (\alpha)}[/tex]

= [tex]\frac{\alpha}{ \beta}[/tex]

This is the solution. In trying to get the middle expression out of the first I quickly end up with a mess. How should I approach this?

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# Simplify the following formula with Gamma functions

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