Definition:GenHermite

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The LaTeX DLMF and DRMF macro \GenHermite represents the generalized Hermite polynomial.

This macro is in the category of polynomials.

In math mode, this macro can be called in the following ways:

\GenHermite[\alpha]{n} produces
\GenHermite{n} produces
\GenHermite[\alpha]{n}@{x} produces
\GenHermite{n}@{x} produces

These are defined by



Then for we have orthogonality relation
for .

Bibliography


Page 156 of CHI.

Symbols List

 : generalized Hermite polynomial : http://drmf.wmflabs.org/wiki/Definition:GenHermite
 : Laguerre (or generalized Laguerre) polynomial : http://dlmf.nist.gov/18.3#T1.t1.r27
 : integral : http://dlmf.nist.gov/1.4#iv