beta

beta

In mathematics, the beta function, also called the Euler integral of the first kind, is a special function. The beta function was studied by Euler and Legendre and was given its name by Jacques Binet; its symbol Β is a Greek capital β rather than the similar Latin capital B.

References

• http://en.wikipedia.org/wiki/Beta_function

beta(z,w)

Computes the beta function for corresponding values z and w. The values must be real and positive.

Argument z

Scalar

Argument w

Scalar

Returns 1. entry

Scalar

Example

beta(5, 3)

Evaluates the beta function at z = 5 and w = 3.

beta(Z,W)

Computes the beta function for corresponding elements of arrays Z and W. The arrays must be real and positive. They must be the same size, or either can be scalar.

Argument Z

Matrix

Argument W

Matrix

Returns 1. entry

Matrix

Example

beta(1:5, 3:7)

Evaluates the beta function at the points (1, 0), (2, 1), ... up to (5, 4).

beta(Z,w)

Computes the beta function for corresponding elements of an array Z and a scalar value w. The values must be real and positive.

Argument Z

Matrix

Argument w

Scalar

Returns 1. entry

Matrix

Example

beta(1:10, 3)

Evaluates the beta function at w = 3 for z = 1 to 10.

beta(z,W)

Computes the beta function for corresponding elements of a scalar value z and an arrays W. The values must be real and positive.

Argument z

Scalar

Argument W

Matrix

Returns 1. entry

Matrix

Example

beta(2, 1:10)

Evaluates the beta function at z = 2 for w = 1 to 10.