Difference between revisions of "Gamma(n+1)=n!"
From specialfunctionswiki
(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 $n!$...") |
|||
| Line 2: | Line 2: | ||
<strong>[[Gamma at positive integers|Theorem]]:</strong> If $n \in \{0,1,2,\ldots\}$, then | <strong>[[Gamma at positive integers|Theorem]]:</strong> 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 $n$. |
<div class="mw-collapsible-content"> | <div class="mw-collapsible-content"> | ||
<strong>Proof:</strong> █ | <strong>Proof:</strong> █ | ||
</div> | </div> | ||
</div> | </div> | ||
