Gold 87

Q-Bessel polynomials

Gold ID

87

Link

https://sigir21.wmflabs.org/wiki/Q-Bessel_polynomials#math.143.0

Formula

$y_{n}(x;a;q)=\;_{2}\phi _{1}\left({\begin{matrix}q^{-N}&-aq^{n}\\0\end{matrix}};q,qx\right)$

TeX Source

y_{n}(x;a;q)=\;_{2}\phi_1 \left(\begin{matrix} q^{-N} & -aq^{n} \\ 0 \end{matrix} ; q,qx \right)

Translation Results
Semantic LaTeX	Mathematica Translation	Maple Translations
		-

Semantic LaTeX

Translation

y_{n}(x ; a ; q) =_{2} \phi_1(\begin{matrix} q^{-N} & -aq^{n} \\ 0 \end{matrix} ; q , qx)

Expected (Gold Entry)

y_{n}(x;a;q) = \qgenhyperphi{2}{1}@{q^{-N} , -aq^{n}}{0}{q}{qx}

Mathematica

Translation

Expected (Gold Entry)

y[n_, x_, a_, q_] := QHypergeometricPFQ[{(q)^(- N), - a*(q)^(n)},{0},q,q*x]

Maple

Translation

Expected (Gold Entry)