DLMF:1.13.E11 (Q475): 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: Q10876 / rank
 
Normal rank
Property / Symbols used: Q10876 / qualifier
 
Defining formula:

ξ 𝜉 {\displaystyle{\displaystyle\xi}}

\xi
Property / Symbols used: Q10876 / qualifier
 
xml-id: C1.S13.XMD20.m1dec
Property / Symbols used
 
Property / Symbols used: Q10877 / rank
 
Normal rank
Property / Symbols used: Q10877 / qualifier
 
Defining formula:

W ( ξ ) 𝑊 𝜉 {\displaystyle{\displaystyle W(\xi)}}

W(\xi)
Property / Symbols used: Q10877 / qualifier
 
xml-id: C1.S13.XMD21.m1dec
Property / Symbols used
 
Property / Symbols used: Q10878 / rank
 
Normal rank
Property / Symbols used: Q10878 / qualifier
 
Defining formula:

F ( ξ ) 𝐹 𝜉 {\displaystyle{\displaystyle F(\xi)}}

F(\xi)
Property / Symbols used: Q10878 / qualifier
 
xml-id: C1.S13.XMD22.m1dec
Property / Symbols used
 
Property / Symbols used: Q10879 / rank
 
Normal rank
Property / Symbols used: Q10879 / qualifier
 
Defining formula:

G ( ξ ) 𝐺 𝜉 {\displaystyle{\displaystyle G(\xi)}}

G(\xi)
Property / Symbols used: Q10879 / qualifier
 
xml-id: C1.S13.XMD23.m1dec

Latest revision as of 16:19, 1 January 2020

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DLMF:1.13.E11
No description defined

    Statements

    d 2 W d ξ 2 + F ( ξ ) d W d ξ + G ( ξ ) W = 0 , derivative 𝑊 𝜉 2 𝐹 𝜉 derivative 𝑊 𝜉 𝐺 𝜉 𝑊 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}W}{{\mathrm{d}\xi}^{2}}+F(% \xi)\frac{\mathrm{d}W}{\mathrm{d}\xi}+G(\xi)W=0,}}
    0 references
    DLMF:1.13.E11
    0 references
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    C1.S4.E4.m2acdec
    0 references
    ξ 𝜉 {\displaystyle{\displaystyle\xi}}
    C1.S13.XMD20.m1dec
    0 references
    W ( ξ ) 𝑊 𝜉 {\displaystyle{\displaystyle W(\xi)}}
    C1.S13.XMD21.m1dec
    0 references
    F ( ξ ) 𝐹 𝜉 {\displaystyle{\displaystyle F(\xi)}}
    C1.S13.XMD22.m1dec
    0 references
    G ( ξ ) 𝐺 𝜉 {\displaystyle{\displaystyle G(\xi)}}
    C1.S13.XMD23.m1dec
    0 references