DLMF:10.13.E5 (Q3130)

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DLMF:10.13.E5
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    Statements

    Defining formula
    z 2 ⁢ w ′′ + ( 1 - 2 ⁢ r ) ⁢ z ⁢ w ′ + ( λ 2 ⁢ q 2 ⁢ z 2 ⁢ q + r 2 - ν 2 ⁢ q 2 ) ⁢ w = 0 , superscript 𝑧 2 superscript 𝑤 ′′ 1 2 𝑟 𝑧 superscript 𝑤 ′ superscript 𝜆 2 superscript 𝑞 2 superscript 𝑧 2 𝑞 superscript 𝑟 2 superscript 𝜈 2 superscript 𝑞 2 𝑤 0 {\displaystyle{\displaystyle z^{2}w^{\prime\prime}+(1-2r)zw^{\prime}+(\lambda^% {2}q^{2}z^{2q}+r^{2}-\nu^{2}q^{2})w=0,}}
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    DLMF id
    DLMF:10.13.E5
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    comment
    Warning: Falling back to standard tex;
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    constraint
    w = z r ⁢ 𝒞 ν ⁡ ( λ ⁢ z q ) 𝑤 superscript 𝑧 𝑟 cylinder-function 𝜈 𝜆 superscript 𝑧 𝑞 {\displaystyle{\displaystyle w=z^{r}\mathscr{C}_{\nu}\left(\lambda z^{q}\right% )}}
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