# Symbols:Greek/Beta

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## Beta

The $2$nd letter of the Greek alphabet.

Minuscule: $\beta$
Majuscule: $\Beta$

The $\LaTeX$ code for $\beta$ is \beta .

The $\LaTeX$ code for $\Beta$ is \Beta .

### Beta Function

The Beta Function $\Beta: \C \times \C \to \C$ is defined for $\operatorname{Re} \left({x}\right), \operatorname{Re} \left({y}\right) > 0$ as:

$\displaystyle \Beta \left({x, y}\right) := \int_{\mathop \to 0}^{\mathop \to 1} t^{x - 1} \left({1 - t}\right)^{y - 1} \rd t$

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