Definition:monicctsbigqHermite

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The LaTeX DLMF and DRMF macro \monicctsbigqHermite represents the monic continuous big q π‘ž {\displaystyle{\displaystyle q}} polynomial.

This macro is in the category of polynomials.

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

\monicctsbigqHermite{n} produces H ^ n continuous-big-q-Hermite-polynomial-monic-p 𝑛 {\displaystyle{\displaystyle{\displaystyle{\widehat{H}}_{n}}}}
\monicctsbigqHermite{n}@{x}{a}{q} produces H ^ n ⁑ ( x ; a | q ) continuous-big-q-Hermite-polynomial-monic-p 𝑛 π‘₯ π‘Ž π‘ž {\displaystyle{\displaystyle{\displaystyle{\widehat{H}}_{n}\!\left(x;a|q\right% )}}}
\monicctsbigqHermite{n}@@{x}{a}{q} produces H ^ n ⁑ ( x ) continuous-big-q-Hermite-polynomial-monic-p 𝑛 π‘₯ π‘Ž π‘ž {\displaystyle{\displaystyle{\displaystyle{\widehat{H}}_{n}\!\left(x\right)}}}

These are defined by H n ⁑ ( x ; a | q ) = : 2 n H ^ n ⁑ ( x ; a | q ) fragments continuous-big-q-Hermite-polynomial-H 𝑛 π‘₯ π‘Ž π‘ž : superscript 2 𝑛 continuous-big-q-Hermite-polynomial-monic-p 𝑛 π‘₯ π‘Ž π‘ž {\displaystyle{\displaystyle{\displaystyle H_{n}\!\left(x;a|q\right)=:2^{n}{% \widehat{H}}_{n}\!\left(x;a|q\right)}}}

Symbols List

H ^ n subscript ^ 𝐻 𝑛 {\displaystyle{\displaystyle{\displaystyle{\widehat{H}}_{n}}}}  : monic continuous big q π‘ž {\displaystyle{\displaystyle{\displaystyle q}}} -Hermite polynomial : http://drmf.wmflabs.org/wiki/Definition:monicctsbigqHermite
H n subscript 𝐻 𝑛 {\displaystyle{\displaystyle{\displaystyle H_{n}}}}  : continuous big q π‘ž {\displaystyle{\displaystyle{\displaystyle q}}} -Hermite polynomial : http://drmf.wmflabs.org/wiki/Definition:ctsbigqHermite