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DLMF:28.32.E5 - MaRDI portal

DLMF:28.32.E5 (Q9246)

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DLMF:28.32.E5
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    Statements

    DLMF defining formula
    K ⁢ ( z , ζ ) ⁢ d u ⁢ ( ζ ) d ζ - u ⁢ ( ζ ) ⁢ ∂ ⁡ K ⁢ ( z , ζ ) ∂ ⁡ ζ 𝐾 𝑧 𝜁 derivative 𝑢 𝜁 𝜁 𝑢 𝜁 partial-derivative 𝐾 𝑧 𝜁 𝜁 {\displaystyle{\displaystyle K(z,\zeta)\frac{\mathrm{d}u(\zeta)}{\mathrm{d}% \zeta}-u(\zeta)\frac{\partial K(z,\zeta)}{\partial\zeta}}}
    0 references
    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
    partial derivative of $$f$$ with respect to $$x$$
    DLMF defining formula
    ∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
    xml-id
    C1.S5.E3.m4acdec
    0 references
    partial differential of $$x$$
    DLMF defining formula
    ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    xml-id
    C1.S5.E3.m2acdec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C28.S1.XMD6.m1adec
    0 references
    variable
    DLMF defining formula
    ζ 𝜁 {\displaystyle{\displaystyle\zeta}}
    xml-id
    C28.S32.XMD5.m1adec
    0 references
    solution
    DLMF defining formula
    u ⁢ ( ζ ) 𝑢 𝜁 {\displaystyle{\displaystyle u(\zeta)}}
    xml-id
    C28.S32.XMD6.m1dec
    0 references
    solution
    DLMF defining formula
    K ⁢ ( z , ζ ) 𝐾 𝑧 𝜁 {\displaystyle{\displaystyle K(z,\zeta)}}
    xml-id
    C28.S32.XMD7.m1adec
    0 references

    Identifiers

     
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