Definition:monicStieltjesWigert

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The LaTeX DLMF and DRMF macro \monicStieltjesWigert represents the monic Stieltjes Wigert polynomial.

This macro is in the category of polynomials.

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

\monicStieltjesWigert{n} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{S}}_{n}}}}$

\monicStieltjesWigert{n}@{x}{q} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{S}}_{n}\!\left(x;q\right)}}}$

\monicStieltjesWigert{n}@@{x}{q} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{S}}_{n}\!\left(x\right)}}}$

These are defined by ${\displaystyle{\displaystyle{\displaystyle S_{n}\!\left(x;q\right)=:\frac{(-1)^{n}q^{n^{2}}}{\left(q;q\right)_{n}}{\widehat{S}}_{n}\!\left(x\right).}}}$

Symbols List

${\displaystyle{\displaystyle{\displaystyle{\widehat{S}}_{n}}}}$ : monic Stieltjes-Wigert polynomial : http://drmf.wmflabs.org/wiki/Definition:monicStieltjesWigert
${\displaystyle{\displaystyle{\displaystyle S_{n}}}}$ : Stieltjes-Wigert polynomial : http://drmf.wmflabs.org/wiki/Definition:StieltjesWigert
${\displaystyle{\displaystyle{\displaystyle(a;q)_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1

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