Beta Function

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

• Evaluating beta-distribution densities and normalizers
• Bayesian statistics with beta priors
• Combinatorial identities involving beta functions
• Verifying numerical code against exact values