ag-gipp/GoUldI

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data/mathematical/122.mml

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<math xmlns='http://www.w3.org/1998/Math/MathML' display='inline'><semantics><mrow><msub><mi>J</mi> <mi>ν</mi></msub><mrow><mo>(</mo><msub><mi>j</mi> <mrow><mi>ν</mi><mo>,</mo><mi>m</mi></mrow></msub><mo>′</mo><mo>)</mo></mrow><mo>=</mo><mfrac><mrow><mi>h</mi><mo stretchy="false">(</mo><mi>ζ</mi><mo stretchy="false">)</mo><mrow><mi mathvariant="normal">Ai</mi></mrow><mrow><mo>(</mo><msubsup><mi>a</mi> <mi>m</mi> <mstyle scriptlevel="0"><mo>′</mo></mstyle></msubsup><mo>)</mo></mrow></mrow><mrow><msup><mi>ν</mi> <mfrac><mn>1</mn><mn>3</mn></mfrac></msup></mrow></mfrac><mrow><mo>(</mo><mn>1</mn><mo>+</mo><mi>O</mi><mrow><mo>(</mo><mfrac><mn>1</mn><mrow><msup><mi>ν</mi> <mfrac><mn>4</mn><mn>3</mn></mfrac></msup></mrow></mfrac><mo>)</mo></mrow><mo>)</mo></mrow></mrow><annotation encoding='application/x-tex'>J_{\nu}\left(j_{\nu,m}'\right)=\frac{h(\zeta)\mathrm{Ai}\left(a^{\prime}_{m}\right)}{\nu^{\frac{1}{3}}}\left(1+O\left(\frac{1}{\nu^{\frac{4}{3}}}\right)\right)</annotation></semantics></math>