DLMF:10.18.E14 (Q3207)

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DLMF:10.18.E14
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    Statements

    Defining formula
    w ′′ + ( 1 + 1 4 - ν 2 x 2 ) ⁢ w = 4 π 2 ⁢ w 3 , superscript 𝑤 ′′ 1 1 4 superscript 𝜈 2 superscript 𝑥 2 𝑤 4 superscript 𝜋 2 superscript 𝑤 3 {\displaystyle{\displaystyle w^{\prime\prime}+\left(1+\frac{\frac{1}{4}-\nu^{2% }}{x^{2}}\right)w=\frac{4}{\pi^{2}w^{3}},}}
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    DLMF id
    DLMF:10.18.E14
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    comment
    Warning: Falling back to standard tex;
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    constraint
    w = x 1 2 ⁢ M ν ⁡ ( x ) 𝑤 superscript 𝑥 1 2 modulus-Bessel-M 𝜈 𝑥 {\displaystyle{\displaystyle w=x^{\frac{1}{2}}M_{\nu}\left(x\right)}}
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2afdec
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    modulus of Bessel functions
    Defining formula
    M ν ⁡ ( x ) modulus-Bessel-M 𝜈 𝑥 {\displaystyle{\displaystyle M_{\NVar{\nu}}\left(\NVar{x}\right)}}
    xml-id
    C10.S18.E1.m2aidec
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    Q11435
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C10.S1.XMD4.m1mdec
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    Q11427
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C10.S1.XMD7.m1mdec
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