Definition:littleqLegendre

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The LaTeX DLMF and DRMF macro \littleqLegendre represents the little ${\displaystyle{\displaystyle q}}$-Legendre polynomial.

This macro is in the category of polynomials.

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

\littleqLegendre{m} produces ${\displaystyle{\displaystyle{\displaystyle p_{m}}}}$

\littleqLegendre{m}@{x}{q} produces ${\displaystyle{\displaystyle{\displaystyle p_{m}\!\left(x|q\right)}}}$

These are defined by ${\displaystyle{\displaystyle{\displaystyle p_{n}\!\left(x|q\right):=\qHyperrphis{2}{1}@@{q^{-n},q^{n+1}}{q}{q}{qx}.}}}$

Symbols List

${\displaystyle{\displaystyle{\displaystyle p_{n}}}}$ : little ${\displaystyle{\displaystyle{\displaystyle q}}}$-Legendre polynomial : http://drmf.wmflabs.org/wiki/Definition:littleqLegendre
${\displaystyle{\displaystyle{\displaystyle{{}_{r}\phi_{s}}}}}$ : basic hypergeometric (or ${\displaystyle{\displaystyle{\displaystyle q}}}$-hypergeometric) function : http://dlmf.nist.gov/17.4#E1

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