ag-gipp/GoUldI

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data/mathematical/111.mml

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<math xmlns='http://www.w3.org/1998/Math/MathML' display='inline'><semantics><mrow><mi>I</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo>=</mo><mo>−</mo><msubsup><mo>∑</mo> <mrow><mi>s</mi><mo>=</mo><mn>0</mn></mrow> <mrow><mn>2</mn><mi>n</mi></mrow></msubsup><mo stretchy="false">(</mo><msub><mi>a</mi> <mi>s</mi></msub><mi>ln</mi><mi>x</mi><mo>+</mo><msub><mi>b</mi> <mi>s</mi></msub><mo stretchy="false">)</mo><msup><mi>x</mi> <mrow><mo lspace="verythinmathspace" rspace="0em">−</mo><mi>s</mi></mrow></msup><mo>+</mo><mi>O</mi><mrow><mo>(</mo><msup><mi>x</mi> <mrow><mo lspace="verythinmathspace" rspace="0em">−</mo><mn>2</mn><mi>n</mi><mo>−</mo><mn>1</mn><mo>+</mo><mi>ε</mi></mrow></msup><mo>)</mo></mrow></mrow><annotation encoding='application/x-tex'>I(x)=-\sum_{s=0}^{2n}(a_{s}\ln x+b_{s})x^{-s}+O\left(x^{-2n-1+\epsilon}\right)</annotation></semantics></math>