Gold 82

Big q-Jacobi polynomials

Gold ID

82

Link

https://sigir21.wmflabs.org/wiki/Big_q-Jacobi_polynomials#math.135.0

Formula

$P_n(x;a,b,c;q)={}_3{\varphi }_2(q^{-n},ab{q}^{n+1},x;aq,cq;q,q)$

TeX Source

\displaystyle P_n(x;a,b,c;q)={}_3\phi_2(q^{-n},abq^{n+1},x;aq,cq;q,q)

Translation Results
Semantic LaTeX	Mathematica Translation	Maple Translations
		-

Semantic LaTeX

Translation

\bigqJacobipolyP{n}@{x}{a}{b}{c}{q} = \qgenhyperphi{3}{2}@{q^{-n} , abq^{n+1} , x}{aq , cq}{q}{q}

Expected (Gold Entry)

\bigqJacobipolyP{n}@{x}{a}{b}{c}{q} = \qgenhyperphi{3}{2}@{q^{-n} , abq^{n+1} , x}{aq , cq}{q}{q}

Mathematica

Translation

Expected (Gold Entry)

p[n_, x_, a_, b_, c_, q_] := QHypergeometricPFQ[{(q)^(- n), a*b*(q)^(n + 1), x},{a*q , c*q},q,q]

Maple

Translation

Expected (Gold Entry)