Definition:monicctsqHermite

From DRMF
Revision as of 00:32, 6 March 2017 by imported>SeedBot (DRMF)
Jump to navigation Jump to search

The LaTeX DLMF and DRMF macro \monicctsqHermite represents the monic continuous q π‘ž {\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:

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

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

Symbols List

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