Definition:monicdiscrqHermiteI

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

This macro is in the category of polynomials.

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

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

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

Symbols List

h ^ n subscript ^ β„Ž 𝑛 {\displaystyle{\displaystyle{\displaystyle{\widehat{h}}_{n}}}}  : monic discrete q π‘ž {\displaystyle{\displaystyle{\displaystyle q}}} -Hermite I polynomial : http://drmf.wmflabs.org/wiki/Definition:monicdiscrqHermiteI
h n subscript β„Ž 𝑛 {\displaystyle{\displaystyle{\displaystyle h_{n}}}}  : discrete q π‘ž {\displaystyle{\displaystyle{\displaystyle q}}} -Hermite I polynomial : http://drmf.wmflabs.org/wiki/Definition:discrqHermiteI