DLMF:28.32.E2 (Q8551): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(3 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q12285 / rank
 
Normal rank
Property / Symbols used: Q12285 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q12285 / qualifier
 
xml-id: C28.S1.XMD4.m1adec
Property / Symbols used
 
Property / Symbols used: Q12313 / rank
 
Normal rank
Property / Symbols used: Q12313 / qualifier
 
Defining formula:

y 𝑦 {\displaystyle{\displaystyle y}}

y
Property / Symbols used: Q12313 / qualifier
 
xml-id: C28.S1.XMD5.m1adec
Property / Symbols used
 
Property / Symbols used: Q12331 / rank
 
Normal rank
Property / Symbols used: Q12331 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q12331 / qualifier
 
xml-id: C28.S32.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q12332 / rank
 
Normal rank
Property / Symbols used: Q12332 / qualifier
 
Defining formula:

V ( ξ , η ) 𝑉 𝜉 𝜂 {\displaystyle{\displaystyle V(\xi,\eta)}}

V(\xi,\eta)
Property / Symbols used: Q12332 / qualifier
 
xml-id: C28.S32.XMD4.m1dec

Latest revision as of 15:40, 2 January 2020

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DLMF:28.32.E2
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    Statements

    2 V x 2 + 2 V y 2 + k 2 V = 0 partial-derivative 𝑉 𝑥 2 partial-derivative 𝑉 𝑦 2 superscript 𝑘 2 𝑉 0 {\displaystyle{\displaystyle\frac{{\partial}^{2}V}{{\partial x}^{2}}+\frac{{% \partial}^{2}V}{{\partial y}^{2}}+k^{2}V=0}}
    0 references
    DLMF:28.32.E2
    0 references
    f x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
    C1.S5.E3.m4adec
    0 references
    x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    C1.S5.E3.m2adec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C28.S1.XMD4.m1adec
    0 references
    y 𝑦 {\displaystyle{\displaystyle y}}
    C28.S1.XMD5.m1adec
    0 references
    k 𝑘 {\displaystyle{\displaystyle k}}
    C28.S32.XMD3.m1dec
    0 references
    V ( ξ , η ) 𝑉 𝜉 𝜂 {\displaystyle{\displaystyle V(\xi,\eta)}}
    C28.S32.XMD4.m1dec
    0 references