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stdlib_specialfunctions.md

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title
specialfunctions

Special functions

[TOC]

legendre - Calculate Legendre polynomials

Status

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 = [[stdlib_specialfunctions(module):legendre(interface)]] (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

Status

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 = [[stdlib_specialfunctions(module):dlegendre(interface)]] (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.