Beta Function

beta function

• 𝐵(𝛼,𝛽) = ₀∫¹ 𝑥^(𝛼-1)(1-𝑥)^(𝛽-1)𝑑𝑥 # for 𝛼,𝛽 > 0
  
• 𝐵(𝛼,𝛽) = [𝛤(𝛼)𝛤(𝛽)] / 𝛤(𝛼 + 𝛽)

where:

• 𝛤 - gamma function
  

Subpages

• Incomplete Beta Function - Regularized Incomplete Beta Function