Gold 44

Basic hypergeometric series

Gold ID: 44
Link: https://sigir21.wmflabs.org/wiki/Basic_hypergeometric_series#math.94.4
Formula: $\lim _{q\to 1}\;_{j}\phi _{k}\left[{\begin{matrix}q^{a_{1}}&q^{a_{2}}&\ldots &q^{a_{j}}\\q^{b_{1}}&q^{b_{2}}&\ldots &q^{b_{k}}\end{matrix}};q,(q-1)^{1+k-j}z\right]=\;_{j}F_{k}\left[{\begin{matrix}a_{1}&a_{2}&\ldots &a_{j}\\b_{1}&b_{2}&\ldots &b_{k}\end{matrix}};z\right]$
TeX Source: \lim_{q\to 1}\;_{j}\phi_k \left[\begin{matrix} q^{a_1} & q^{a_2} & \ldots & q^{a_j} \\ q^{b_1} & q^{b_2} & \ldots & q^{b_k} \end{matrix} ; q,(q-1)^{1+k-j} z \right]=\;_{j}F_k \left[\begin{matrix} a_1 & a_2 & \ldots & a_j \\ b_1 & b_2 & \ldots & b_k \end{matrix} ;z \right]

Translation Results
Semantic LaTeX	Mathematica Translation	Maple Translations
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Translation: \lim_{q\to 1}_{j} \phi_k [\begin{matrix} q^{a_1} & q^{a_2} & \ldots & q^{a_j} \\ q^{b_1} & q^{b_2} & \ldots & q^{b_k} \end{matrix} ; q ,(q - 1)^{1+k-j} z] =_{j} F_k [\begin{matrix} a_1 & a_2 & \ldots & a_j \\ b_1 & b_2 & \ldots & b_k \end{matrix} ; z]
Expected (Gold Entry): \lim_{q\to 1} \qgenhyperphi{j}{k}@{q^{a_1} , q^{a_2} , \ldots , q^{a_j}}{q^{b_1} , q^{b_2} , \ldots , q^{b_k}}{q}{(q - 1)^{1+k-j} z} = \genhyperF{j}{k}@{a_1 , a_2 , \ldots , a_j}{b_1 , b_2 , \ldots , b_k}{z}