DLMF:10.13.E7 (Q3132): 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.m3afdec

Revision as of 15:21, 2 January 2020

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DLMF:10.13.E7
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    Statements

    Defining formula
    z 2 ⁢ ( z 2 - ν 2 ) ⁢ w ′′ + z ⁢ ( z 2 - 3 ⁢ ν 2 ) ⁢ w ′ + ( ( z 2 - ν 2 ) 2 - ( z 2 + ν 2 ) ) ⁢ w = 0 , superscript 𝑧 2 superscript 𝑧 2 superscript 𝜈 2 superscript 𝑤 ′′ 𝑧 superscript 𝑧 2 3 superscript 𝜈 2 superscript 𝑤 ′ superscript superscript 𝑧 2 superscript 𝜈 2 2 superscript 𝑧 2 superscript 𝜈 2 𝑤 0 {\displaystyle{\displaystyle z^{2}(z^{2}-\nu^{2})w^{\prime\prime}+z(z^{2}-3\nu% ^{2})w^{\prime}+((z^{2}-\nu^{2})^{2}-(z^{2}+\nu^{2}))w=0,}}
    0 references
    DLMF id
    DLMF:10.13.E7
    0 references
    comment
    Warning: Falling back to standard tex;
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    constraint
    w = 𝒞 ν ′ ⁡ ( z ) 𝑤 diffop cylinder-function 𝜈 1 𝑧 {\displaystyle{\displaystyle w=\mathscr{C}_{\nu}'\left(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.m3afdec
    0 references
     
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