HermiteH - Hermite function
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Calling Sequence
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HermiteH(n, x)
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Parameters
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n
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algebraic expression
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x
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algebraic expression
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Description
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For a non-negative integer , the HermiteH(n, x) function computes the nth Hermite polynomial.
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The Hermite polynomials are orthogonal on the interval with respect to the weight function . They satisfy:
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Hermite polynomials satisfy the following recurrence relation:
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where HermiteH(0,x) = 1 and HermiteH(1,x) = 2*x.
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For n different from a non-negative integer, the analytic extension of the Hermite polynomial is given by:
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Examples
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>
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>
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>
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