Beta Function Calculator

Beta Function Calculator

Calculate the Beta function using the formula:
\[ B(x,y) = \frac{\Gamma(x)\,\Gamma(y)}{\Gamma(x+y)} \]

* Enter positive values for \( x \) and \( y \).

Step 1: Enter Parameters

Example: 2

Example: 3

Formula: \( B(x,y) = \frac{\Gamma(x)\,\Gamma(y)}{\Gamma(x+y)} \)


Practical Example:
For \( x = 2 \) and \( y = 3 \):
\[ B(2,3) = \frac{\Gamma(2)\,\Gamma(3)}{\Gamma(5)} = \frac{1! \times 2!}{4!} = \frac{1 \times 2}{24} = \frac{1}{12} \approx 0.08333. \]