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HermiteH

HermiteH[n, x]
gives the Hermite polynomial H_n(x).
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • Explicit polynomials are given for non-negative integers n.
  • The Hermite polynomials satisfy the differential equation y^(′′)-2xy^′+2ny=0.
  • They are orthogonal polynomials with weight function e^(-x^2) 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.
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