DLMF:8.12.E10 (Q2606): 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.m2aadec

Revision as of 12:58, 2 January 2020

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DLMF:8.12.E10
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    Statements

    c k ( η ) = 1 η d d η c k - 1 ( η ) + ( - 1 ) k g k μ , subscript 𝑐 𝑘 𝜂 1 𝜂 derivative 𝜂 subscript 𝑐 𝑘 1 𝜂 superscript 1 𝑘 subscript 𝑔 𝑘 𝜇 {\displaystyle{\displaystyle c_{k}(\eta)=\frac{1}{\eta}\frac{\mathrm{d}}{% \mathrm{d}\eta}c_{k-1}(\eta)+(-1)^{k}\frac{g_{k}}{\mu},}}
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    k = 1 , 2 , 𝑘 1 2 {\displaystyle{\displaystyle k=1,2,\dots}}
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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.m2aadec
    0 references