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

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imported>Admin
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

Revision as of 14:43, 2 January 2020

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DLMF:29.2.E10
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    Statements

    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,}}
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    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    C1.S4.E4.m2addec
    0 references