DLMF:32.3.E2 (Q9214): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12536 / rank
 
Normal rank
Property / Symbols used: Q12536 / qualifier
 
Defining formula:

u k ⁢ ( x ; ν ) subscript 𝑢 𝑘 𝑥 𝜈 {\displaystyle{\displaystyle u_{k}(x;\nu)}}

u_{k}(x;\nu)
Property / Symbols used: Q12536 / qualifier
 
xml-id: C32.S3.XMD2.m1dec

Latest revision as of 13:51, 2 January 2020

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DLMF:32.3.E2
No description defined

    Statements

    Defining formula
    d 2 u d x 2 = 3 ⁢ u 5 + 2 ⁢ x ⁢ u 3 + ( 1 4 ⁢ x 2 - ν - 1 2 ) ⁢ u , derivative 𝑢 𝑥 2 3 superscript 𝑢 5 2 𝑥 superscript 𝑢 3 1 4 superscript 𝑥 2 𝜈 1 2 𝑢 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}u}{{\mathrm{d}x}^{2}}=3u^{5}% +2xu^{3}+\left(\tfrac{1}{4}x^{2}-\nu-\tfrac{1}{2}\right)u,}}
    0 references
    DLMF id
    DLMF:32.3.E2
    0 references
    Symbols used
    derivative of $$f$$ with respect to $$x$$
    Defining formula
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2adec
    0 references
    Q12533
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C32.S1.XMD3.m1gdec
    0 references
    Q12535
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C32.S3.XMD1.m1dec
    0 references
    Q12536
    Defining formula
    u k ⁢ ( x ; ν ) subscript 𝑢 𝑘 𝑥 𝜈 {\displaystyle{\displaystyle u_{k}(x;\nu)}}
    xml-id
    C32.S3.XMD2.m1dec
    0 references
     
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