# Special functions

## legendre - Calculate Legendre polynomials

Experimental

### Description

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.

### Syntax

result = legendre (n, x)

### Arguments

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

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

### Return value

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

## dlegendre - Calculate first derivatives of Legendre polynomials

Experimental

### Description

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.

### Syntax

result = dlegendre (n, x)

### Arguments

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

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

### Return value

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