Definition:monicdiscrqHermiteII

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The LaTeX DLMF and DRMF macro \monicdiscrqHermiteII represents the monic discrete q π‘ž {\displaystyle{\displaystyle q}} Hermite polynomial II.

This macro is in the category of polynomials.

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

\monicdiscrqHermiteII{n} produces h ~ ^ n discrete-q-Hermite-polynomial-II-monic-p 𝑛 {\displaystyle{\displaystyle{\displaystyle{\widehat{\tilde{h}}_{n}}}}}
\monicdiscrqHermiteII{n}@{x}{q} produces h ~ ^ n ⁑ ( x ; q ) discrete-q-Hermite-polynomial-II-monic-p 𝑛 π‘₯ π‘ž {\displaystyle{\displaystyle{\displaystyle{\widehat{\tilde{h}}_{n}}\!\left(x;q% \right)}}}
\monicdiscrqHermiteII{n}@@{x}{q} produces h ~ ^ n ⁑ ( x ) discrete-q-Hermite-polynomial-II-monic-p 𝑛 π‘₯ π‘ž {\displaystyle{\displaystyle{\displaystyle{\widehat{\tilde{h}}_{n}}\!\left(x% \right)}}}

These are defined by h ~ n ⁑ ( x ; q ) = : h ~ ^ n ⁑ ( x ) . fragments discrete-q-Hermite-polynomial-II-h-tilde 𝑛 π‘₯ π‘ž : discrete-q-Hermite-polynomial-II-monic-p 𝑛 π‘₯ π‘ž . {\displaystyle{\displaystyle{\displaystyle\tilde{h}_{n}\!\left(x;q\right)=:{% \widehat{\tilde{h}}_{n}}\!\left(x\right).}}}

Symbols List

p ~ ^ n subscript ^ ~ 𝑝 𝑛 {\displaystyle{\displaystyle{\displaystyle{\widehat{\tilde{p}}_{n}}}}}  : monic discrete q π‘ž {\displaystyle{\displaystyle{\displaystyle q}}} -Hermite II polynomial : http://drmf.wmflabs.org/wiki/Definition:monicdiscrqHermiteII
h ~ n subscript ~ β„Ž 𝑛 {\displaystyle{\displaystyle{\displaystyle\tilde{h}_{n}}}}  : discrete q π‘ž {\displaystyle{\displaystyle{\displaystyle q}}} -Hermite II polynomial : http://drmf.wmflabs.org/wiki/Definition:discrqHermiteII


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