Symbols:Greek/Beta/Beta Function

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Beta Function

The Beta Function $\Beta: \C \times \C \to \C$ is defined for $\map \Re x, \map \Re y > 0$ as:

$\displaystyle \map \Beta {x, y} := \int_{\mathop \to 0}^{\mathop \to 1} t^{x - 1} \paren {1 - t}^{y - 1} \rd t$


The $\LaTeX$ code for \(\map \Beta {x, y}\) is \map \Beta {x, y} .