====== 베타함수 (Beta Function) ======
===== 정의 =====
 $$ \begin{displaymath}\begin{split} B(\alpha , \beta) &= \int_{0}^{1} x^{\alpha - 1} (1-x)^{\beta - 1} \ dx \ , \ (\alpha > 0 \ , \ \beta > 0) \\ &= \frac{\Gamma(\alpha) \Gamma(\beta)}{\Gamma(\alpha + \beta)} \end{split}\end{displaymath} $$

<plot>
 set size 1
 set xrange [0:4]
 set yrange [0:4]
 set zrange [0:20]
 set zeroaxis

 f(x,y) = (gamma(x)*gamma(y))/gamma(x+y)

 splot f(x,y) title ""
</plot>

 단, $\Gamma(x)$는 [[감마함수]]
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  * [[불완전 베타함수]]
  * [[정칙 베타함수]]
  * [[감마함수]]
  * [[함수]]