Gold 77

Q-Hahn polynomials

Gold ID

77

Link

https://sigir21.wmflabs.org/wiki/Q-Hahn_polynomials#math.129.0

Formula

$Q_{n}(x;a,b,N;q)=\;_{3}\phi _{2}\left[{\begin{matrix}q^{-}n&abq^{n}+1&x\\aq&q^{-}N\end{matrix}};q,q\right]$

TeX Source

Q_n(x;a,b,N;q)=\;_{3}\phi_2\left[\begin{matrix} q^-n & abq^n+1 & x \\ aq & q^-N \end{matrix} ; q,q \right]

Translation Results
Semantic LaTeX	Mathematica Translation	Maple Translations
		-

Semantic LaTeX

Translation

Q_n(x ; a , b , N ; q) =_{3} \phi_2 [\begin{matrix} q^-n & abq^n+1 & x \\ aq & q^-N \end{matrix} ; q , q]

Expected (Gold Entry)

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

Mathematica

Translation

Expected (Gold Entry)

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

Maple

Translation

Expected (Gold Entry)