DLMF:14.20.E1 (Q4922): 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.m2adec

Revision as of 12:31, 2 January 2020

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DLMF:14.20.E1
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    Statements

    ( 1 - x 2 ) d 2 w d x 2 - 2 x d w d x - ( τ 2 + 1 4 + μ 2 1 - x 2 ) w = 0 . 1 superscript 𝑥 2 derivative 𝑤 𝑥 2 2 𝑥 derivative 𝑤 𝑥 superscript 𝜏 2 1 4 superscript 𝜇 2 1 superscript 𝑥 2 𝑤 0 {\displaystyle{\displaystyle\left(1-x^{2}\right)\frac{{\mathrm{d}}^{2}w}{{% \mathrm{d}x}^{2}}-2x\frac{\mathrm{d}w}{\mathrm{d}x}-\left(\tau^{2}+\frac{1}{4}% +\frac{\mu^{2}}{1-x^{2}}\right)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.m2adec
    0 references