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

From DRMF
Jump to navigation Jump to search
← Older edit
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
(4 intermediate revisions by the same user not shown)
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

No description defined
Language Label Description Also known as
English
DLMF:36.10.E5
No description defined

    Statements

    Defining formula
    ∂ 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 id
    DLMF:36.10.E5
    0 references
    Symbols used
    canonical integral function
    Defining formula
    Ψ K ⁡ ( 𝐱 ) canonical-integral 𝐾 𝐱 {\displaystyle{\displaystyle\Psi_{\NVar{K}}\left(\NVar{\mathbf{x}}\right)}}
    xml-id
    C36.S2.E4.m2addec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2acdec
    0 references
    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.m4addec
    0 references
    partial differential of $$x$$
    Defining formula
    ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}}
    xml-id
    C1.S5.E3.m2addec
    0 references
    Q12745
    Defining formula
    y 𝑦 {\displaystyle{\displaystyle y}}
    xml-id
    C36.S1.XMD10.m1adec
    0 references
    Q12746
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C36.S1.XMD11.m1dec
    0 references
    Q12748
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C36.S1.XMD9.m1bdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q9967&oldid=55737"