data/mathoid/194.mml
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xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="StartFraction left-parenthesis q semicolon q right-parenthesis Subscript a 1 plus a 2 plus ellipsis plus a Sub Subscript n Subscript Baseline Over left-parenthesis q semicolon q right-parenthesis Subscript a 1 Baseline left-parenthesis q semicolon q right-parenthesis Subscript a 2 Baseline ellipsis left-parenthesis q semicolon q right-parenthesis Subscript a Sub Subscript n Subscript Baseline EndFraction equals coeff period of x 1 Superscript 0 Baseline x 2 Superscript 0 Baseline ellipsis x Subscript n Superscript 0 Baseline in product Underscript 1 less-than-or-equal-to j less-than k less-than-or-equal-to n Endscripts left-parenthesis StartFraction x Subscript j Baseline Over x Subscript k Baseline EndFraction semicolon q right-parenthesis Subscript a Sub Subscript j Subscript Baseline left-parenthesis StartFraction q x Subscript k Baseline Over x Subscript j Baseline EndFraction semicolon q right-parenthesis Subscript a Sub Subscript k Subscript Baseline">
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<annotation encoding="application/x-tex">{\frac {\left(q;q\right)_{a_{1}+a_{2}+\cdots +a_{n}}}{\left(q;q\right)_{a_{1}}\left(q;q\right)_{a_{2}}\cdots \left(q;q\right)_{a_{n}}}}={\mbox{ coeff. of }}x_{1}^{0}x_{2}^{0}\cdots x_{n}^{0}{\mbox{ in }}\prod _{1\leq j<k\leq n}\left({\frac {x_{j}}{x_{k}}};q\right)_{a_{j}}\left({\frac {qx_{k}}{x_{j}}};q\right)_{a_{k}}</annotation>
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</math>