legendre

Overloads

Name	Description
legendre(integer n, bool x) -> real	Evaluates the Legendre polynomial of degree n at the given position. The Legendre polynomials are defined as:...
legendre(integer n, real x) -> real	Evaluates the Legendre polynomial of degree n at the given position. The Legendre polynomials are defined as:...
legendre(integer n, integer x) -> real	Evaluates the Legendre polynomial of degree n at the given position. The Legendre polynomials are defined as:...

legendre(integer n, bool x) -> real

Evaluates the Legendre polynomial of degree n at the given position. The Legendre polynomials are defined as:

$$P_n(x) = \frac{1}{2^n n!} \frac{d^n}{dx^n} (x^2 - 1)^n$$

Parameters

• n: The degree of the polynomial.
• x: The value at which the function is evaluated.

legendre(integer n, real x) -> real

Evaluates the Legendre polynomial of degree n at the given position. The Legendre polynomials are defined as:

$$P_n(x) = \frac{1}{2^n n!} \frac{d^n}{dx^n} (x^2 - 1)^n$$

Parameters

• n: The degree of the polynomial.
• x: The value at which the function is evaluated.

legendre(integer n, integer x) -> real

Evaluates the Legendre polynomial of degree n at the given position. The Legendre polynomials are defined as:

$$P_n(x) = \frac{1}{2^n n!} \frac{d^n}{dx^n} (x^2 - 1)^n$$

Parameters

• n: The degree of the polynomial.
• x: The value at which the function is evaluated.