Gold 63

Q-Charlier polynomials

Gold ID

63

Link

https://sigir21.wmflabs.org/wiki/Q-Charlier_polynomials#math.115.0

Formula

$\displaystyle c_{n}(q^{-x};a;q)={}_{2}\phi _{1}(q^{-n},q^{-x};0;q,-q^{n+1}/a)$

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
	-	-

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)