Difference between revisions of "Beta in terms of gamma"
From specialfunctionswiki
Line 2: | Line 2: | ||
<strong>[[Beta in terms of gamma|Theorem]]:</strong> The following formula holds: | <strong>[[Beta in terms of gamma|Theorem]]:</strong> The following formula holds: | ||
$$B(x,y)=\dfrac{\Gamma(x)\Gamma(y)}{\Gamma(x+y)},$$ | $$B(x,y)=\dfrac{\Gamma(x)\Gamma(y)}{\Gamma(x+y)},$$ | ||
− | where $B$ denotes the [[beta]] and $\Gamma$ denotes the [[gamma | + | where $B$ denotes the [[beta]] function and $\Gamma$ denotes the [[gamma]] function. |
<div class="mw-collapsible-content"> | <div class="mw-collapsible-content"> | ||
<strong>Proof:</strong> █ | <strong>Proof:</strong> █ | ||
</div> | </div> | ||
</div> | </div> |