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    Stan Math Library
    5.1.0
    
   Automatic Differentiation 
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Returns the beta function and gradient for second var input.
\[ \mathrm{beta}(a,b) = \left(B\left(a,b\right)\right) \]
\[ \frac{\partial }{\partial b} = \left(\psi^{\left(0\right)}\left(b\right) - \psi^{\left(0\right)} \left(a + b\right)\right) \mathrm{beta}(a,b) \]
| a | double Argument | 
| b | var Argument |