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DLMF:33.2.E1 - MaRDI portal

DLMF:33.2.E1 (Q10188)

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DLMF:33.2.E1
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    Statements

    DLMF defining formula
    d 2 w d ρ 2 + ( 1 - 2 ⁢ η ρ - ℓ ⁢ ( ℓ + 1 ) ρ 2 ) ⁢ w = 0 , derivative 𝑤 𝜌 2 1 2 𝜂 𝜌 ℓ ℓ 1 superscript 𝜌 2 𝑤 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}\rho}^{2}}+% \left(1-\frac{2\eta}{\rho}-\frac{\ell(\ell+1)}{\rho^{2}}\right)w=0,}}
    0 references
    constraint
    ℓ = 0 , 1 , 2 , … ℓ 0 1 2 … {\displaystyle{\displaystyle\ell=0,1,2,\dots}}
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    Symbols used
    derivative of $$f$$ with respect to $$x$$
    DLMF 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
    nonnegative integer
    DLMF defining formula
    ℓ ℓ {\displaystyle{\displaystyle\ell}}
    xml-id
    C33.S1.XMD2.m1dec
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    nonnegative real variable
    DLMF defining formula
    ρ 𝜌 {\displaystyle{\displaystyle\rho}}
    xml-id
    C33.S1.XMD5.m1dec
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    real parameter
    DLMF defining formula
    η 𝜂 {\displaystyle{\displaystyle\eta}}
    xml-id
    C33.S1.XMD7.m1dec
    0 references

    Identifiers

     
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