B(a,b)
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lnB(a,b)
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B(a,b) = Γ(a)Γ(b) / Γ(a+b)
How to Use
Enter values for a and b, and the beta function B(a,b) and its logarithm lnB(a,b) are computed with high precision. The relation to the gamma function, B(a,b) = Γ(a)Γ(b)/Γ(a+b), is displayed for reference. The log form is essential when a and b are large enough that B(a,b) itself underflows, which is common in statistics work such as evaluating beta-distribution densities.
- Beta function B(a,b)
- Log beta function lnB(a,b) for large arguments
- Gamma-function relation shown
- High-precision computation
- Instant results
Use cases
- Evaluating beta-distribution densities and normalizers
- Bayesian statistics with beta priors
- Combinatorial identities involving beta functions
- Verifying numerical code against exact values