Skip to main content

laguerre

Overloads​

NameDescription
laguerre(integer n, bool x) -> realEvaluates the Laguerre polynomial of degree n at the given position. The Laguerre polynomials are defined as:...
laguerre(integer n, integer x) -> realEvaluates the Laguerre polynomial of degree n at the given position. The Laguerre polynomials are defined as:...
laguerre(integer n, real x) -> realEvaluates the Laguerre polynomial of degree n at the given position. The Laguerre polynomials are defined as:...

laguerre(integer n, bool x) -> real​

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

Ln(x)=1n!exdndxn(e−xxn)L_n(x) = \frac{1}{n!} e^x \frac{d^n}{dx^n} (e^{-x} x^n)

Parameters​

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

laguerre(integer n, integer x) -> real​

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

Ln(x)=1n!exdndxn(e−xxn)L_n(x) = \frac{1}{n!} e^x \frac{d^n}{dx^n} (e^{-x} x^n)

Parameters​

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

laguerre(integer n, real x) -> real​

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

Ln(x)=1n!exdndxn(e−xxn)L_n(x) = \frac{1}{n!} e^x \frac{d^n}{dx^n} (e^{-x} x^n)

Parameters​

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