DLMF:33.12.E8 (Q9606): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12666 / rank
 
Normal rank
Property / Symbols used: Q12666 / qualifier
 
Defining formula:

ℓ ℓ {\displaystyle{\displaystyle\ell}}

\ell
Property / Symbols used: Q12666 / qualifier
 
xml-id: C33.S1.XMD2.m1dec

Revision as of 14:30, 2 January 2020

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DLMF:33.12.E8
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    Statements

    Defining formula
    d 2 w d z 2 = ( 4 ⁢ η 2 ⁢ ( 1 - z z ) + ℓ ⁢ ( ℓ + 1 ) z 2 ) ⁢ w . derivative 𝑤 𝑧 2 4 superscript 𝜂 2 1 𝑧 𝑧 ℓ ℓ 1 superscript 𝑧 2 𝑤 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}=\left(% 4\eta^{2}\left(\frac{1-z}{z}\right)+\frac{\ell(\ell+1)}{z^{2}}\right)w.}}
    0 references
    DLMF id
    DLMF:33.12.E8
    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
    Q12666
    Defining formula
    ℓ ℓ {\displaystyle{\displaystyle\ell}}
    xml-id
    C33.S1.XMD2.m1dec
    0 references
     
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