Gold 62

Q-Racah polynomials

Gold ID

62

Link

https://sigir21.wmflabs.org/wiki/Q-Racah_polynomials#math.114.0

Formula

$p_n(q^{-x}+q^{x+1}cd;a,b,c,d;q)={}_4{\varphi }_3[\begin{array}{cccc}{q}^{-n}& ab{q}^{n+1}& q^{-x}& q^{x+1}cd\\ aq& bdq& cq\\ \end{array};q;q]$

TeX Source

p_n(q^{-x}+q^{x+1}cd;a,b,c,d;q) = {}_4\phi_3\left[\begin{matrix} q^{-n} &abq^{n+1}&q^{-x}&q^{x+1}cd\\aq&bdq&cq\\ \end{matrix};q;q\right]

Translation Results
Semantic LaTeX	Mathematica Translation	Maple Translations
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Semantic LaTeX

Translation

p_n(q^{-x} + q^{x+1} cd ; a , b , c , d ; q) ={}_4 \phi_3 [\begin{matrix} q^{-n} &abq^{n+1}&q^{-x}&q^{x+1}cd\\aq&bdq&cq\\ \end{matrix} ; q ; q]

Expected (Gold Entry)

\qRacahpolyR{n}@{q^{-x} + q^{x+1} cd}{a}{b}{c}{d}{q} = \qgenhyperphi{4}{3}@{q^{-n}, abq^{n+1}, q^{-x}, q^{x+1}cd}{aq , bdq , cq}{q}{q}

Mathematica

Translation

Expected (Gold Entry)

Maple

Translation

Expected (Gold Entry)