DLMF:36.10.E7 (Q9969): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12748 / rank
 
Normal rank
Property / Symbols used: Q12748 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q12748 / qualifier
 
xml-id: C36.S1.XMD9.m1cdec

Latest revision as of 15:15, 2 January 2020

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DLMF:36.10.E7
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    Statements

    Defining formula
    ∂ 2 ⁢ n ⁡ Ψ 2 ∂ ⁡ x 2 ⁢ n = i n ⁢ ∂ n ⁡ Ψ 2 ∂ ⁡ y n . partial-derivative canonical-integral 2 𝑥 2 𝑛 superscript 𝑖 𝑛 partial-derivative canonical-integral 2 𝑦 𝑛 {\displaystyle{\displaystyle\frac{{\partial}^{2n}\Psi_{2}}{{\partial x}^{2n}}=% i^{n}\frac{{\partial}^{n}\Psi_{2}}{{\partial y}^{n}}.}}
    0 references
    DLMF id
    DLMF:36.10.E7
    0 references
    Symbols used
    canonical integral function
    Defining formula
    Ψ K ⁡ ( 𝐱 ) canonical-integral 𝐾 𝐱 {\displaystyle{\displaystyle\Psi_{\NVar{K}}\left(\NVar{\mathbf{x}}\right)}}
    xml-id
    C36.S2.E4.m2afdec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aedec
    0 references
    partial derivative of $$f$$ with respect to $$x$$
    Defining formula
    ∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
    xml-id
    C1.S5.E3.m4afdec
    0 references
    partial differential of $$x$$
    Defining formula
    ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    xml-id
    C1.S5.E3.m2afdec
    0 references
    Q12745
    Defining formula
    y 𝑦 {\displaystyle{\displaystyle y}}
    xml-id
    C36.S1.XMD10.m1bdec
    0 references
    Q12755
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C36.S1.XMD3.m1adec
    0 references
    Q12748
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C36.S1.XMD9.m1cdec
    0 references
     
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