Wolfram Language & System 11.0 (2016)|Legacy Documentation

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gives the Hermite polynomial .


  • 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.
Introduced in 1988