DLMF:7.19.E8 (Q2475)

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DLMF:7.19.E8
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    Statements

    Defining formula
    𝖵 ⁡ ( x , t ) = x ⁢ 𝖴 ⁡ ( x , t ) + 2 ⁢ t ⁢ ∂ ⁡ 𝖴 ⁡ ( x , t ) ∂ ⁡ x , Voigt-V 𝑥 𝑡 𝑥 Voigt-U 𝑥 𝑡 2 𝑡 partial-derivative Voigt-U 𝑥 𝑡 𝑥 {\displaystyle{\displaystyle\mathsf{V}\left(x,t\right)=x\mathsf{U}\left(x,t% \right)+2t\frac{\partial\mathsf{U}\left(x,t\right)}{\partial x},}}
    0 references
    DLMF id
    DLMF:7.19.E8
    0 references
    Symbols used
    Voigt function
    Defining formula
    𝖴 ⁡ ( x , t ) Voigt-U 𝑥 𝑡 {\displaystyle{\displaystyle\mathsf{U}\left(\NVar{x},\NVar{t}\right)}}
    xml-id
    C7.S19.E1.m2agdec
    0 references
    Voigt function
    Defining formula
    𝖵 ⁡ ( x , t ) Voigt-V 𝑥 𝑡 {\displaystyle{\displaystyle\mathsf{V}\left(\NVar{x},\NVar{t}\right)}}
    xml-id
    C7.S19.E2.m2afdec
    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.m4adec
    0 references
    partial differential of $$x$$
    Defining formula
    ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    xml-id
    C1.S5.E3.m2adec
    0 references
    Q11313
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C7.S1.XMD1.m1hdec
    0 references
     
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