Difference between revisions of "Gamma(n+1)=n!"
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(Created page with "<div class="toccolours mw-collapsible mw-collapsed"> <strong>Theorem:</strong> If $n \in \{0,1,2,\ldots\}$, then $$\Gamma(n+1)=n!,$$ where $n!$...") |
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| − | + | ==Theorem== | |
| − | + | If $n \in \{0,1,2,\ldots\}$, then | |
$$\Gamma(n+1)=n!,$$ | $$\Gamma(n+1)=n!,$$ | ||
| − | where $n!$ denotes the [[factorial]] of $n$. | + | where $\Gamma$ denotes the [[gamma]] function and $n!$ denotes the [[factorial]] of $n$. |
| − | + | ||
| − | + | ==Proof== | |
| − | + | ||
| − | + | ==References== | |
| + | * {{BookReference|Special Functions for Scientists and Engineers|1968|W.W. Bell|prev=Gamma(z+1)=zGamma(z)|next=findme}}: Theorem 2.3 | ||
| + | |||
| + | [[Category:Theorem]] | ||
| + | [[Category:Unproven]] | ||
Latest revision as of 19:47, 15 March 2018
Theorem
If $n \in \{0,1,2,\ldots\}$, then $$\Gamma(n+1)=n!,$$ where $\Gamma$ denotes the gamma function and $n!$ denotes the factorial of $n$.
Proof
References
- 1968: W.W. Bell: Special Functions for Scientists and Engineers ... (previous) ... (next): Theorem 2.3
