Macaulay2 » Documentation
Packages » Macaulay2Doc » analytic functions » Beta

next | previous | forward | backward | up | index | toc

Beta -- Beta function

Usage:

Beta(x, y)
Inputs:
- x, a real number,
- y, a real number,
Outputs:
- a real number, the beta function of x and y;

Description

This is the beta function \(B(x,y) = \int_0^1 t^{x - 1}(1 - t)^{y - 1}\,dt\).

i1 : Beta(3, 4)

o1 = .01666666666666667

o1 : RR (of precision 53)

See also

regularizedBeta -- regularized beta function
inverseRegularizedBeta -- inverse of the regularized beta function

Ways to use Beta:

Beta(CC,CC)
Beta(CC,RR)
Beta(RR,CC)
Beta(RR,RR)
Beta(RR,RRi)
Beta(RRi,RR)
Beta(RRi,RRi)

For the programmer

The object Beta is a method function.

The source of this document is in Macaulay2Doc/functions/Beta-doc.m2:30:0.