Definition:discrqHermiteI

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Definition:discrqHermiteII >>

The LaTeX DLMF and DRMF macro \discrqHermiteI represents the first discrete ${\displaystyle{\displaystyle q}}$ Hermite polynomial.

This macro is in the category of polynomials.

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

\discrqHermiteI{n} produces ${\displaystyle{\displaystyle{\displaystyle h_{n}}}}$

\discrqHermiteI{n}@{x}{q} produces ${\displaystyle{\displaystyle{\displaystyle h_{n}\!\left(x;q\right)}}}$

\discrqHermiteI{n}@@{x}{q} produces ${\displaystyle{\displaystyle{\displaystyle h_{n}\!\left(x\right)}}}$

These are defined by ${\displaystyle{\displaystyle{\displaystyle h_{n}\!\left(x;q\right):=U^{(-1)}_{n}\!\left(x;q\right)}}}$

Symbols List

${\displaystyle{\displaystyle{\displaystyle h_{n}}}}$ : discrete ${\displaystyle{\displaystyle{\displaystyle q}}}$-Hermite I polynomial : http://drmf.wmflabs.org/wiki/Definition:discrqHermiteI
${\displaystyle{\displaystyle{\displaystyle U^{(n)}_{\alpha}}}}$ : Al-Salam-Carlitz I polynomial : http://drmf.wmflabs.org/wiki/Definition:AlSalamCarlitzI

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