Gold 63

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Q-Charlier polynomials

Gold ID
63
Link
https://sigir21.wmflabs.org/wiki/Q-Charlier_polynomials#math.115.0
Formula
cn(qx;a;q)=2ϕ1(qn,qx;0;q,qn+1/a)
TeX Source
\displaystyle c_n(q^{-x};a;q) = {}_2\phi_1(q^{-n},q^{-x};0;q,-q^{n+1}/a)
Translation Results
Semantic LaTeX Mathematica Translation Maple Translations
Yes - -

Semantic LaTeX

Translation
c_n(q^{-x} ; a ; q) = \qgenhyperphi{2}{1}@{q^{-n} , q^{-x}}{0}{q}{- q^{n+1} / a}
Expected (Gold Entry)
c_n(q^{-x} ; a ; q) = \qgenhyperphi{2}{1}@{q^{-n} , q^{-x}}{0}{q}{- q^{n+1} / a}


Mathematica

Translation
Subscript[c, n][(q)^(- x); a ; q] == QHypergeometricPFQ[{(q)^(- n), (q)^(- x)},{0},q,- (q)^(n + 1)/a]
Expected (Gold Entry)


Maple

Translation
Expected (Gold Entry)