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hermite

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

hermite(integer n, bool x) -> real​

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

Hn(x)=(−1)nex2/2dndxne−x2/2H_n(x) = (-1)^n e^{x^2/2} \frac{d^n}{dx^n} e^{-x^2/2}

Parameters​

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

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

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

Hn(x)=(−1)nex2/2dndxne−x2/2H_n(x) = (-1)^n e^{x^2/2} \frac{d^n}{dx^n} e^{-x^2/2}

Parameters​

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

hermite(integer n, real x) -> real​

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

Hn(x)=(−1)nex2/2dndxne−x2/2H_n(x) = (-1)^n e^{x^2/2} \frac{d^n}{dx^n} e^{-x^2/2}

Parameters​

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