HermiteH

HermiteH[n,x]

gives the Hermite polynomial .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • Explicit polynomials are given for nonnegative integers n.
  • The Hermite polynomials satisfy the differential equation .
  • They are orthogonal polynomials with weight function in the interval .
  • For certain special arguments, HermiteH automatically evaluates to exact values.
  • HermiteH can be evaluated to arbitrary numerical precision.
  • HermiteH automatically threads over lists.
  • HermiteH[n,x] is an entire function of x with no branch cut discontinuities.

Examples

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Basic Examples  (2)

Compute the 10^(th) Hermite polynomial:

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Scope  (6)

Generalizations & Extensions  (2)

Applications  (5)

Properties & Relations  (3)

Possible Issues  (2)

Neat Examples  (4)

See Also

LaguerreL  HypergeometricU

Tutorials

Introduced in 1988
(1.0)