ag-gipp/GoUldI

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data/mathematical/193.mml

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<math xmlns='http://www.w3.org/1998/Math/MathML' display='inline'><semantics><mrow><msubsup><mo>∑</mo> <mrow><mi>n</mi><mo>=</mo><mn>0</mn></mrow> <mn>∞</mn></msubsup><msup><mi>q</mi> <mrow><msup><mi>n</mi> <mn>2</mn></msup></mrow></msup><msup><mi>a</mi> <mi>n</mi></msup><msub><mi>β</mi> <mi>n</mi></msub><mo>=</mo><mfrac><mn>1</mn><mrow><msub><mrow><mo>(</mo><mi>a</mi><mi>q</mi><mo>;</mo><mi>q</mi><mo>)</mo></mrow> <mn>∞</mn></msub></mrow></mfrac><msubsup><mo>∑</mo> <mrow><mi>n</mi><mo>=</mo><mn>0</mn></mrow> <mn>∞</mn></msubsup><msup><mi>q</mi> <mrow><msup><mi>n</mi> <mn>2</mn></msup></mrow></msup><msup><mi>a</mi> <mi>n</mi></msup><msub><mi>α</mi> <mi>n</mi></msub></mrow><annotation encoding='application/x-tex'>\sum_{n=0}^{\infty}q^{n^{2}}a^{n}\beta_{n}=\frac{1}{\left(aq;q\right)_{\infty}}\sum_{n=0}^{\infty}q^{n^{2}}a^{n}\alpha_{n}</annotation></semantics></math>