DLMF:10.13.E1 (Q3126)

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DLMF:10.13.E1
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    Statements

    Defining formula
    w ′′ + ( λ 2 - ν 2 - 1 4 z 2 ) ⁢ w = 0 , superscript 𝑤 ′′ superscript 𝜆 2 superscript 𝜈 2 1 4 superscript 𝑧 2 𝑤 0 {\displaystyle{\displaystyle w^{\prime\prime}+\left(\lambda^{2}-\frac{\nu^{2}-% \tfrac{1}{4}}{z^{2}}\right)w=0,}}
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    DLMF id
    DLMF:10.13.E1
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    comment
    Warning: Falling back to standard tex;
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    constraint
    w = z 1 2 ⁢ 𝒞 ν ⁡ ( λ ⁢ z ) 𝑤 superscript 𝑧 1 2 cylinder-function 𝜈 𝜆 𝑧 {\displaystyle{\displaystyle w=z^{\frac{1}{2}}\mathscr{C}_{\nu}\left(\lambda z% \right)}}
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    Symbols used
    Q11430
    Defining formula
    𝒞 ν ⁡ ( z ) cylinder-function 𝜈 𝑧 {\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.Px5.p1.m3adec
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