DLMF:11.4.E31 (Q3963): 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

Revision as of 13:42, 2 January 2020

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DLMF:11.4.E31
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    Statements

    ν - m ( z ) = z m - ν ( 1 z d d z ) m ( z ν ν ( z ) ) , subscript 𝜈 𝑚 𝑧 superscript 𝑧 𝑚 𝜈 superscript 1 𝑧 derivative 𝑧 𝑚 superscript 𝑧 𝜈 subscript 𝜈 𝑧 {\displaystyle{\displaystyle{\cal H}_{\nu-m}(z)=z^{m-\nu}\left(\frac{1}{z}% \frac{\mathrm{d}}{\mathrm{d}z}\right)^{m}(z^{\nu}{\cal H}_{\nu}(z)),}}
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    m = 1 , 2 , 3 , 𝑚 1 2 3 {\displaystyle{\displaystyle m=1,2,3,\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.m2addec
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