DLMF:29.2.E10 (Q8584): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / rank
 
Normal rank
Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier
 
test:

d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}

\deriv{\NVar{f}}{\NVar{x}}
Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier
 
xml-id: C1.S4.E4.m2addec
Property / Symbols used
 
Property / Symbols used: Q12351 / rank
 
Normal rank
Property / Symbols used: Q12351 / qualifier
 
test:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q12351 / qualifier
 
xml-id: C29.S1.XMD9.m1edec
Property / Symbols used
 
Property / Symbols used: Q12353 / rank
 
Normal rank
Property / Symbols used: Q12353 / qualifier
 
test:

e j subscript 𝑒 𝑗 {\displaystyle{\displaystyle e_{j}}}

e_{j}
Property / Symbols used: Q12353 / qualifier
 
xml-id: C29.S2.XMD4.m1cdec
Property / Symbols used
 
Property / Symbols used: DLMF:29.2.E7 / rank
 
Normal rank
Property / Symbols used: DLMF:29.2.E7 / qualifier
 
test:

g 𝑔 {\displaystyle{\displaystyle g}}

g
Property / Symbols used: DLMF:29.2.E7 / qualifier
 
xml-id: C29.S2.XMD5.m1bdec
Property / Symbols used
 
Property / Symbols used: DLMF:29.2.E11 / rank
 
Normal rank
Property / Symbols used: DLMF:29.2.E11 / qualifier
 
test:

ζ 𝜁 {\displaystyle{\displaystyle\zeta}}

\zeta
Property / Symbols used: DLMF:29.2.E11 / qualifier
 
xml-id: C29.S2.XMD7.m1dec

Latest revision as of 14:43, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:29.2.E10
No description defined

    Statements

    test
    d 2 w d ζ 2 + 1 2 ⁢ ( 1 ζ - e 1 + 1 ζ - e 2 + 1 ζ - e 3 ) ⁢ d w d ζ + g - ν ⁢ ( ν + 1 ) ⁢ ζ 4 ⁢ ( ζ - e 1 ) ⁢ ( ζ - e 2 ) ⁢ ( ζ - e 3 ) ⁢ w = 0 , derivative 𝑤 𝜁 2 1 2 1 𝜁 subscript 𝑒 1 1 𝜁 subscript 𝑒 2 1 𝜁 subscript 𝑒 3 derivative 𝑤 𝜁 𝑔 𝜈 𝜈 1 𝜁 4 𝜁 subscript 𝑒 1 𝜁 subscript 𝑒 2 𝜁 subscript 𝑒 3 𝑤 0 {\displaystyle{\displaystyle{\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}\zeta}^{2}}+% \frac{1}{2}\left(\frac{1}{\zeta-e_{1}}+\frac{1}{\zeta-e_{2}}+\frac{1}{\zeta-e_% {3}}\right)\frac{\mathrm{d}w}{\mathrm{d}\zeta}}+\frac{g-\nu(\nu+1)\zeta}{4(% \zeta-e_{1})(\zeta-e_{2})(\zeta-e_{3})}w=0,}}
    0 references
    DLMF id
    DLMF:29.2.E10
    0 references
    Symbols used
    derivative of $$f$$ with respect to $$x$$
    test
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2addec
    0 references
    Q12351
    test
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C29.S1.XMD9.m1edec
    0 references
    Q12353
    test
    e j subscript 𝑒 𝑗 {\displaystyle{\displaystyle e_{j}}}
    xml-id
    C29.S2.XMD4.m1cdec
    0 references
    DLMF:29.2.E7
    test
    g 𝑔 {\displaystyle{\displaystyle g}}
    xml-id
    C29.S2.XMD5.m1bdec
    0 references
    DLMF:29.2.E11
    test
    ζ 𝜁 {\displaystyle{\displaystyle\zeta}}
    xml-id
    C29.S2.XMD7.m1dec
    0 references
     
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