DLMF:28.32.E4 (Q8553): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q12336 / rank
 
Normal rank
Property / Symbols used: Q12336 / qualifier
 
Defining formula:

K ( z , ζ ) 𝐾 𝑧 𝜁 {\displaystyle{\displaystyle K(z,\zeta)}}

K(z,\zeta)
Property / Symbols used: Q12336 / qualifier
 
xml-id: C28.S32.XMD7.m1dec

Latest revision as of 15:40, 2 January 2020

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DLMF:28.32.E4
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    Statements

    2 K z 2 - 2 K ζ 2 = 2 q ( cos ( 2 z ) - cos ( 2 ζ ) ) K . partial-derivative 𝐾 𝑧 2 partial-derivative 𝐾 𝜁 2 2 𝑞 2 𝑧 2 𝜁 𝐾 {\displaystyle{\displaystyle\frac{{\partial}^{2}K}{{\partial z}^{2}}-\frac{{% \partial}^{2}K}{{\partial\zeta}^{2}}=2q\left(\cos\left(2z\right)-\cos\left(2% \zeta\right)\right)K.}}
    0 references
    DLMF:28.32.E4
    0 references
    cos z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    C4.S14.E2.m2abdec
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    f x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
    C1.S5.E3.m4abdec
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    x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    C1.S5.E3.m2abdec
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    q = h 2 𝑞 superscript 2 {\displaystyle{\displaystyle q=h^{2}}}
    C28.S1.XMD10.m1dec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C28.S1.XMD6.m1dec
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    ζ 𝜁 {\displaystyle{\displaystyle\zeta}}
    C28.S32.XMD5.m1dec
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    K ( z , ζ ) 𝐾 𝑧 𝜁 {\displaystyle{\displaystyle K(z,\zeta)}}
    C28.S32.XMD7.m1dec
    0 references