DLMF:10.13.E4 (Q3129): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11426 / rank
 
Normal rank
Property / Symbols used: Q11426 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11426 / qualifier
 
xml-id: C10.S1.XMD6.m1cdec

Revision as of 15:21, 2 January 2020

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DLMF:10.13.E4
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    Statements

    Defining formula
    w ′′ + 1 ∓ 2 ⁢ ν z ⁢ w ′ + λ 2 ⁢ w = 0 , superscript 𝑤 ′′ minus-or-plus 1 2 𝜈 𝑧 superscript 𝑤 ′ superscript 𝜆 2 𝑤 0 {\displaystyle{\displaystyle w^{\prime\prime}+\frac{1\mp 2\nu}{z}w^{\prime}+% \lambda^{2}w=0,}}
    0 references
    DLMF id
    DLMF:10.13.E4
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    comment
    Warning: Falling back to standard tex;
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    constraint
    w = z ± ν ⁢ 𝒞 ν ⁡ ( λ ⁢ z ) 𝑤 superscript 𝑧 plus-or-minus 𝜈 cylinder-function 𝜈 𝜆 𝑧 {\displaystyle{\displaystyle w=z^{\pm\nu}\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.m3acdec
    0 references
    Q11426
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C10.S1.XMD6.m1cdec
    0 references
     
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