DLMF:10.13.E9 (Q3134): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11426 / rank
 
Normal rank
Property / Symbols used: Q11426 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11426 / qualifier
 
xml-id: C10.S1.XMD6.m1hdec
Property / Symbols used
 
Property / Symbols used: Q11427 / rank
 
Normal rank
Property / Symbols used: Q11427 / qualifier
 
test:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q11427 / qualifier
 
xml-id: C10.S1.XMD7.m1fdec
Property / Symbols used
 
Property / Symbols used: Q11439 / rank
 
Normal rank
Property / Symbols used: Q11439 / qualifier
 
test:

𝒟 ν ⁢ ( z ) subscript 𝒟 𝜈 𝑧 {\displaystyle{\displaystyle\mathscr{D}_{\nu}(z)}}

\mathscr{D}_{\nu}(z)
Property / Symbols used: Q11439 / qualifier
 
xml-id: C10.S2.XMD1.m1dec

Latest revision as of 14:22, 2 January 2020

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DLMF:10.13.E9
No description defined

    Statements

    test
    z 2 ⁢ w ′′′ + 3 ⁢ z ⁢ w ′′ + ( 4 ⁢ z 2 + 1 - 4 ⁢ ν 2 ) ⁢ w ′ + 4 ⁢ z ⁢ w = 0 , superscript 𝑧 2 superscript 𝑤 ′′′ 3 𝑧 superscript 𝑤 ′′ 4 superscript 𝑧 2 1 4 superscript 𝜈 2 superscript 𝑤 ′ 4 𝑧 𝑤 0 {\displaystyle{\displaystyle{z^{2}w^{\prime\prime\prime}+3zw^{\prime\prime}+(4% z^{2}+1-4\nu^{2})w^{\prime}+4zw=0},}}
    0 references
    DLMF id
    DLMF:10.13.E9
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    constraint
    w = 𝒞 ν ⁡ ( z ) ⁢ 𝒟 ν ⁢ ( z ) 𝑤 cylinder-function 𝜈 𝑧 subscript 𝒟 𝜈 𝑧 {\displaystyle{\displaystyle w=\mathscr{C}_{\nu}\left(z\right)\mathscr{D}_{\nu% }(z)}}
    0 references
    Symbols used
    Q11430
    test
    𝒞 ν ⁡ ( z ) cylinder-function 𝜈 𝑧 {\displaystyle{\displaystyle\mathscr{C}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.Px5.p1.m3ahdec
    0 references
    Q11426
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C10.S1.XMD6.m1hdec
    0 references
    Q11427
    test
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C10.S1.XMD7.m1fdec
    0 references
    Q11439
    test
    𝒟 ν ⁢ ( z ) subscript 𝒟 𝜈 𝑧 {\displaystyle{\displaystyle\mathscr{D}_{\nu}(z)}}
    xml-id
    C10.S2.XMD1.m1dec
    0 references
     
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