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MathsSpecialGamma

log Beta

Returns the natural logarithm of the complete beta function.
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LogBeta

 
doublelogBetadoublea
doubleb )
Returns the natural logarithm of the complete beta function, which is fundamentally just

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:
\graph  a=0:20, b=1:5:5

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

afirst symmetric argument to the complete beta function, a>0.
bsecond symmetric argument to the complete beta function, b>0.

Authors

Updated by Vince Cole
Source Code

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