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# log Beta

Returns the natural logarithm of the complete beta function.
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C++

## LogBeta

 doublelogBeta( double a double b )
Returns the natural logarithm of the complete beta function, which is fundamentally just
$ln(&space;\Gamma(a)*\Gamma(b)&space;/&space;\Gamma(a+b)&space;)$

However when either a or b are large (typically above 8) then there are more appropriate methods of computing an accurate value efficiently. An illustration of this curve is given below:
There is an error with your graph parameters for logBeta with options a=0:20 b=1:5:5 .size=medium

Error Message:Function logBeta failed. Ensure that: Invalid C++

## References:

DiDinato, A. R. and Morris, A. H. Algorithm 708: Significant Digit Computation of the Incomplete Beta Function Ratios. ACM Trans. Math. Softw. 18 (1993), 360-373.

### Parameters

 a first symmetric argument to the complete beta function, a>0. b second symmetric argument to the complete beta function, b>0.

### Authors

Updated by Vince Cole
##### Source Code

Source code is available when you agree to a GP Licence or buy a Commercial Licence.

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Last Modified: 17 Apr 13 @ 17:50     Page Rendered: 2022-03-14 15:04:59