DLMF:10.18.E15 (Q3208)

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DLMF:10.18.E15
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    Statements

    Defining formula
    x 3 ⁢ w ′′′ + x ⁢ ( 4 ⁢ x 2 + 1 - 4 ⁢ ν 2 ) ⁢ w ′ + ( 4 ⁢ ν 2 - 1 ) ⁢ w = 0 , superscript 𝑥 3 superscript 𝑤 ′′′ 𝑥 4 superscript 𝑥 2 1 4 superscript 𝜈 2 superscript 𝑤 ′ 4 superscript 𝜈 2 1 𝑤 0 {\displaystyle{\displaystyle x^{3}w^{\prime\prime\prime}+x(4x^{2}+1-4\nu^{2})w% ^{\prime}+(4\nu^{2}-1)w=0,}}
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    DLMF id
    DLMF:10.18.E15
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    comment
    Warning: Falling back to standard tex;
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    constraint
    w = x ⁢ M ν 2 ⁡ ( x ) 𝑤 𝑥 modulus-Bessel-M 𝜈 2 𝑥 {\displaystyle{\displaystyle w=x{M_{\nu}^{2}}\left(x\right)}}
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    Symbols used
    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.m2ajdec
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    Q11435
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C10.S1.XMD4.m1ndec
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    Q11427
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C10.S1.XMD7.m1ndec
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