DLMF:10.13.E6 (Q3131)

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DLMF:10.13.E6
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    Statements

    Defining formula
    w ′′ + ( λ 2 ⁢ e 2 ⁢ z - ν 2 ) ⁢ w = 0 , superscript 𝑤 ′′ superscript 𝜆 2 superscript 𝑒 2 𝑧 superscript 𝜈 2 𝑤 0 {\displaystyle{\displaystyle w^{\prime\prime}+(\lambda^{2}e^{2z}-\nu^{2})w=0,}}
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    DLMF id
    DLMF:10.13.E6
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    comment
    Warning: Falling back to standard tex;
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    constraint
    w = 𝒞 ν ⁡ ( λ ⁢ e z ) 𝑤 cylinder-function 𝜈 𝜆 superscript 𝑒 𝑧 {\displaystyle{\displaystyle w=\mathscr{C}_{\nu}\left(\lambda e^{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.m3aedec
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    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
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