DLMF:36.10.E14 (Q9978): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: hyperbolic umbilic canonical integral function / rank
 
Normal rank
Property / Symbols used: hyperbolic umbilic canonical integral function / qualifier
 
Defining formula:

Ψ ( H ) ⁡ ( 𝐱 ) hyperbolic-umbilic-canonical-integral 𝐱 {\displaystyle{\displaystyle\Psi^{(\mathrm{H})}\left(\NVar{\mathbf{x}}\right)}}

\hyperumbcanonint@{\NVar{\mathbf{x}}}
Property / Symbols used: hyperbolic umbilic canonical integral function / qualifier
 
xml-id: C36.S2.E5.m4adec

Revision as of 15:16, 2 January 2020

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DLMF:36.10.E14
No description defined

    Statements

    Defining formula
    3 ⁢ ( ∂ 2 ⁡ Ψ ( E ) ∂ ⁡ x 2 - ∂ 2 ⁡ Ψ ( E ) ∂ ⁡ y 2 ) + 2 ⁢ i ⁢ z ⁢ ∂ ⁡ Ψ ( E ) ∂ ⁡ x - x ⁢ Ψ ( E ) = 0 . 3 partial-derivative elliptic-umbilic-canonical-integral 𝑥 2 partial-derivative elliptic-umbilic-canonical-integral 𝑦 2 2 𝑖 𝑧 partial-derivative elliptic-umbilic-canonical-integral 𝑥 𝑥 elliptic-umbilic-canonical-integral 0 {\displaystyle{\displaystyle 3\left(\frac{{\partial}^{2}\Psi^{(\mathrm{E})}}{{% \partial x}^{2}}-\frac{{\partial}^{2}\Psi^{(\mathrm{E})}}{{\partial y}^{2}}% \right)+2iz\frac{\partial\Psi^{(\mathrm{E})}}{\partial x}-x\Psi^{(\mathrm{E})}% =0.}}
    0 references
    DLMF id
    DLMF:36.10.E14
    0 references
    Symbols used
    elliptic umbilic canonical integral function
    Defining formula
    Ψ ( E ) ⁡ ( 𝐱 ) elliptic-umbilic-canonical-integral 𝐱 {\displaystyle{\displaystyle\Psi^{(\mathrm{E})}\left(\NVar{\mathbf{x}}\right)}}
    xml-id
    C36.S2.E5.m3aadec
    0 references
    hyperbolic umbilic canonical integral function
    Defining formula
    Ψ ( H ) ⁡ ( 𝐱 ) hyperbolic-umbilic-canonical-integral 𝐱 {\displaystyle{\displaystyle\Psi^{(\mathrm{H})}\left(\NVar{\mathbf{x}}\right)}}
    xml-id
    C36.S2.E5.m4adec
    0 references
     
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