DLMF:36.10.E5 (Q9967): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: partial derivative of $$f$$ with respect to $$x$$ / rank
 
Normal rank
Property / Symbols used: partial derivative of $$f$$ with respect to $$x$$ / qualifier
 
Defining formula:

f x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}

\pderiv{\NVar{f}}{\NVar{x}}
Property / Symbols used: partial derivative of $$f$$ with respect to $$x$$ / qualifier
 
xml-id: C1.S5.E3.m4addec
Property / Symbols used
 
Property / Symbols used: partial differential of $$x$$ / rank
 
Normal rank
Property / Symbols used: partial differential of $$x$$ / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}

\pdiff{\NVar{x}}
Property / Symbols used: partial differential of $$x$$ / qualifier
 
xml-id: C1.S5.E3.m2addec
Property / Symbols used
 
Property / Symbols used: Q12745 / rank
 
Normal rank
Property / Symbols used: Q12745 / qualifier
 
Defining formula:

y 𝑦 {\displaystyle{\displaystyle y}}

y
Property / Symbols used: Q12745 / qualifier
 
xml-id: C36.S1.XMD10.m1adec
Property / Symbols used
 
Property / Symbols used: Q12746 / rank
 
Normal rank
Property / Symbols used: Q12746 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12746 / qualifier
 
xml-id: C36.S1.XMD11.m1dec
Property / Symbols used
 
Property / Symbols used: Q12748 / rank
 
Normal rank
Property / Symbols used: Q12748 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q12748 / qualifier
 
xml-id: C36.S1.XMD9.m1bdec

Latest revision as of 15:14, 2 January 2020

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DLMF:36.10.E5
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    Statements

    4 Ψ 3 x 4 - 3 5 z 2 Ψ 3 x 2 - 2 i 5 y Ψ 3 x + 1 5 x Ψ 3 = 0 . partial-derivative canonical-integral 3 𝑥 4 3 5 𝑧 partial-derivative canonical-integral 3 𝑥 2 2 𝑖 5 𝑦 partial-derivative canonical-integral 3 𝑥 1 5 𝑥 canonical-integral 3 0 {\displaystyle{\displaystyle\frac{{\partial}^{4}\Psi_{3}}{{\partial x}^{4}}-% \frac{3}{5}z\frac{{\partial}^{2}\Psi_{3}}{{\partial x}^{2}}-\frac{2i}{5}y\frac% {\partial\Psi_{3}}{\partial x}+\frac{1}{5}x\Psi_{3}=0.}}
    0 references
    DLMF:36.10.E5
    0 references
    Ψ K ( 𝐱 ) canonical-integral 𝐾 𝐱 {\displaystyle{\displaystyle\Psi_{\NVar{K}}\left(\NVar{\mathbf{x}}\right)}}
    C36.S2.E4.m2addec
    0 references
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2acdec
    0 references
    f x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
    C1.S5.E3.m4addec
    0 references
    x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    C1.S5.E3.m2addec
    0 references
    y 𝑦 {\displaystyle{\displaystyle y}}
    C36.S1.XMD10.m1adec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C36.S1.XMD11.m1dec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C36.S1.XMD9.m1bdec
    0 references