DLMF:1.15.E51 (Q593): Difference between revisions

From testwiki
Jump to navigation Jump to search
imported>Admin
imported>Admin
 
(2 intermediate revisions by the same user not shown)
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
Property / Symbols used
 
Property / Symbols used: Q10757 / rank
 
Normal rank
Property / Symbols used: Q10757 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q10757 / qualifier
 
xml-id: C1.S1.XMD7.m1xdec
Property / Symbols used
 
Property / Symbols used: fractional integral (locally) / rank
 
Normal rank
Property / Symbols used: fractional integral (locally) / qualifier
 
test:

I α superscript 𝐼 𝛼 {\displaystyle{\displaystyle I^{\alpha}}}

I^{\alpha}
Property / Symbols used: fractional integral (locally) / qualifier
 
xml-id: C1.S15.XMD12.m1cdec

Latest revision as of 15:33, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:1.15.E51
No description defined

    Statements

    D α f ( x ) = d n d x n I n - α f ( x ) , superscript 𝐷 𝛼 𝑓 𝑥 derivative 𝑥 𝑛 superscript 𝐼 𝑛 𝛼 𝑓 𝑥 {\displaystyle{\displaystyle D^{\alpha}f(x)=\frac{{\mathrm{d}}^{n}}{{\mathrm{d% }x}^{n}}I^{n-\alpha}f(x),}}
    0 references
    0 references
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    C1.S4.E4.m2adec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C1.S1.XMD7.m1xdec
    0 references
    I α superscript 𝐼 𝛼 {\displaystyle{\displaystyle I^{\alpha}}}
    C1.S15.XMD12.m1cdec
    0 references