BETA INDEX

BETA _ _ _ _ _ _ _ _ _ _ _ _ operator

The Beta operator returns the Beta function defined by

Beta (z,w) := defint(t**(z-1)* (1 - t)**(w-1),t,0,1) .

syntax:

Beta(<expression>,<expression>)

examples: 


Beta(2,2); 

  1 / 6 


Beta(x,y); 

  gamma(x)*gamma(y) / gamma(x + y)

The operator Beta is simplified towards the GAMMA operator.