Gold 81

Little q-Jacobi polynomials

Gold ID

81

Link

https://sigir21.wmflabs.org/wiki/Little_q-Jacobi_polynomials#math.134.0

Formula

$p_n(x;a,b;q)={}_2{\varphi }_1(q^{-n},ab{q}^{n+1};aq;q,xq)$

TeX Source

\displaystyle p_n(x;a,b;q) = {}_2\phi_1(q^{-n},abq^{n+1};aq;q,xq)

Translation Results
Semantic LaTeX	Mathematica Translation	Maple Translations
		-

Semantic LaTeX

Translation

\littleqJacobipolyp{n}@{x}{a}{b}{q} = \qgenhyperphi{2}{1}@{q^{-n} , abq^{n+1}}{aq}{q}{xq}

Expected (Gold Entry)

\littleqJacobipolyp{n}@{x}{a}{b}{q} = \qgenhyperphi{2}{1}@{q^{-n} , abq^{n+1}}{aq}{q}{xq}

Mathematica

Translation

Expected (Gold Entry)

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

Maple

Translation

Expected (Gold Entry)