7.3.16  Beta function

The β function is defined by

This is defined for x and y positive reals (to ensure the convergence of the integral) and by extension for x and y if they are not negative integers. Notably, β(1,1)=1, β(n,1)=1/n and β(n,2)=1/n(n+1).

The Beta command computes the β function.

• Beta takes two arguments: a and b, real numbers.
• Beta(a,b) returns the value of the β(a,b).

Examples