DLMF:10.13.E10 (Q3135)

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DLMF:10.13.E10
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    Statements

    Defining formula
    z 3 ⁢ w ′′′ + z ⁢ ( 4 ⁢ z 2 + 1 - 4 ⁢ ν 2 ) ⁢ w ′ + ( 4 ⁢ ν 2 - 1 ) ⁢ w = 0 , superscript 𝑧 3 superscript 𝑤 ′′′ 𝑧 4 superscript 𝑧 2 1 4 superscript 𝜈 2 superscript 𝑤 ′ 4 superscript 𝜈 2 1 𝑤 0 {\displaystyle{\displaystyle{z^{3}w^{\prime\prime\prime}+z(4z^{2}+1-4\nu^{2})w% ^{\prime}+(4\nu^{2}-1)w=0},}}
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    DLMF id
    DLMF:10.13.E10
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    comment
    Warning: Falling back to standard tex;
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    constraint
    w = z ⁢ 𝒞 ν ⁡ ( z ) ⁢ 𝒟 ν ⁢ ( z ) 𝑤 𝑧 cylinder-function 𝜈 𝑧 subscript 𝒟 𝜈 𝑧 {\displaystyle{\displaystyle w=z\mathscr{C}_{\nu}\left(z\right)\mathscr{D}_{% \nu}(z)}}
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