Special functions

`legendre` - Calculate Legendre polynomials

Experimental

Computes the value of the n-th Legendre polynomial at a specified point. Currently only 64 bit floating point is supported.

This is an elemental function.

result = legendre (n, x)

n: Shall be a scalar of type real(real64).

x: Shall be a scalar or array (this function is elemental) of type real(real64).

The function result will be the value of the n-th Legendre polynomial, evaluated at x.

Experimental

Computes the value of the first derivative of the n-th Legendre polynomial at a specified point. Currently only 64 bit floating point is supported.

This is an elemental function.

result = dlegendre (n, x)

n: Shall be a scalar of type real(real64).

x: Shall be a scalar or array (this function is elemental) of type real(real64).

The function result will be the value of the first derivative of the n-th Legendre polynomial, evaluated at x.