DLMF:10.13.E3 (Q3128): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11430 / rank
 
Normal rank
Property / Symbols used: Q11430 / qualifier
 
Defining formula:

𝒞 ν ⁡ ( z ) cylinder-function 𝜈 𝑧 {\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}}

\BesselC{\NVar{\nu}}@{\NVar{z}}
Property / Symbols used: Q11430 / qualifier
 
xml-id: C10.S2.Px5.p1.m3abdec

Revision as of 15:21, 2 January 2020

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DLMF:10.13.E3
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    Statements

    Defining formula
    w ′′ + λ 2 ⁢ z p - 2 ⁢ w = 0 , superscript 𝑤 ′′ superscript 𝜆 2 superscript 𝑧 𝑝 2 𝑤 0 {\displaystyle{\displaystyle w^{\prime\prime}+\lambda^{2}z^{p-2}w=0,}}
    0 references
    DLMF id
    DLMF:10.13.E3
    0 references
    comment
    Warning: Falling back to standard tex;
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    constraint
    w = z 1 2 ⁢ 𝒞 1 / p ⁡ ( 2 ⁢ λ ⁢ z 1 2 ⁢ p / p ) 𝑤 superscript 𝑧 1 2 cylinder-function 1 𝑝 2 𝜆 superscript 𝑧 1 2 𝑝 𝑝 {\displaystyle{\displaystyle w=z^{\frac{1}{2}}\mathscr{C}_{1/p}\left(2\lambda z% ^{\frac{1}{2}p}/p\right)}}
    0 references
    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.m3abdec
    0 references
     
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