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Macaulay2Doc :: regularizedBeta

regularizedBeta -- regularized beta function

Synopsis

Description

This is the regularized (incomplete) beta function \(I_x(a, b) = \frac{1}{B(a, b)}\int_0^x t^{a - 1} (1 - t)^{b - 1}\,dt\).

i1 : regularizedBeta(1/2, 3, 4)

o1 = .65625

o1 : RR (of precision 53)
i2 : 1/Beta(3,4) * integrate(t -> t^2 * (1 - t)^3, 0, 1/2)

o2 = .65625

o2 : RR (of precision 53)

Caveat

This function always returns a double precision real number (53 bits) regardless of the precision of its arguments.

See also

Ways to use regularizedBeta :

For the programmer

The object regularizedBeta is a method function.