Definition:lrselection

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For the sake of compactness, we use the abbreviated \lrselection notation in a number of formulas.

This macro is in the category of polynomials.

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

\lrselection produces ${\displaystyle{\displaystyle{\displaystyle\lrselection{}}}}$

These are defined by ${\displaystyle{\displaystyle{\displaystyle K^{\mathrm{Aff}}_{n}\!\left(q^{-x};p,N;q\right)=\frac{1}{\left(pq,q^{-N};q\right)_{n}}\widehat{K}^{\mathrm{Aff}}_{n}\!\left(q^{-x};p,N;q\right).}}}$

Symbols List

${\displaystyle{\displaystyle{\displaystyle\left\{\begin{matrix}x\end{matrix}\right\}}}}$ : bracketed generalization of ${\displaystyle{\displaystyle{\displaystyle\pm}}}$ : http://drmf.wmflabs.org/wiki/Definition:Lrselection
${\displaystyle{\displaystyle{\displaystyle K^{\mathrm{Aff}}_{n}}}}$ : affine ${\displaystyle{\displaystyle{\displaystyle q}}}$-Krawtchouk polynomial : http://drmf.wmflabs.org/wiki/Definition:AffqKrawtchouk
${\displaystyle{\displaystyle{\displaystyle(a;q)_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1
${\displaystyle{\displaystyle{\displaystyle\widehat{K}^{\mathrm{Aff}}_{n}}}}$ : monic affine ${\displaystyle{\displaystyle{\displaystyle q}}}$-Krawtchouk polynomial : http://drmf.wmflabs.org/wiki/Definition:monicAffqKrawtchouk

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