Definition:monicHermite

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The LaTeX DLMF and DRMF macro \monicHermite represents the monic Hermite polynomial.

This macro is in the category of polynomials.

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

\monicHermite{n} produces H ^ n Hermite-polynomial-monic 𝑛 {\displaystyle{\displaystyle{\displaystyle{\widehat{H}}_{n}}}}
\monicHermite{n}@{x} produces H ^ n ⁑ ( x ) Hermite-polynomial-monic 𝑛 π‘₯ {\displaystyle{\displaystyle{\displaystyle{\widehat{H}}_{n}\left(x\right)}}}
\monicHermite{n}@@{x} produces H ^ n ⁑ ( x ) Hermite-polynomial-monic 𝑛 π‘₯ {\displaystyle{\displaystyle{\displaystyle{\widehat{H}}_{n}\left(x\right)}}}

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

Symbols List

H ^ n subscript ^ 𝐻 𝑛 {\displaystyle{\displaystyle{\displaystyle{\widehat{H}}_{n}}}}  : monic Hermite polynomial : http://drmf.wmflabs.org/wiki/Definition:monicHermite
H n subscript 𝐻 𝑛 {\displaystyle{\displaystyle{\displaystyle H_{n}}}}  : Hermite polynomial H n subscript 𝐻 𝑛 {\displaystyle{\displaystyle{\displaystyle H_{n}}}}  : http://dlmf.nist.gov/18.3#T1.t1.r28