DLMF:10.73.E1 (Q3912)

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DLMF:10.73.E1
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    Statements

    Defining formula
    ∇ 2 ⁡ V = 1 r ⁢ ∂ ∂ ⁡ r ⁡ ( r ⁢ ∂ ⁡ V ∂ ⁡ r ) + 1 r 2 ⁢ ∂ 2 ⁡ V ∂ ⁡ ϕ 2 + ∂ 2 ⁡ V ∂ ⁡ z 2 = 0 , superscript ∇ 2 𝑉 1 𝑟 partial-derivative 𝑟 𝑟 partial-derivative 𝑉 𝑟 1 superscript 𝑟 2 partial-derivative 𝑉 italic-ϕ 2 partial-derivative 𝑉 𝑧 2 0 {\displaystyle{\displaystyle\nabla^{2}V=\frac{1}{r}\frac{\partial}{\partial r}% \left(r\frac{\partial V}{\partial r}\right)+\frac{1}{r^{2}}\frac{{\partial}^{2% }V}{{\partial\phi}^{2}}+\frac{{\partial}^{2}V}{{\partial z}^{2}}=0,}}
    0 references
    DLMF id
    DLMF:10.73.E1
    0 references
    Symbols used
    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
     
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