DLMF:1.13.E8 (Q472): 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.m2abdec
Property / Symbols used
 
Property / Symbols used: Q10760 / rank
 
Normal rank
Property / Symbols used: Q10760 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q10760 / qualifier
 
xml-id: C1.S1.XMD1.m1gdec
Property / Symbols used
 
Property / Symbols used: Q10871 / rank
 
Normal rank
Property / Symbols used: Q10871 / qualifier
 
test:

w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}

w(z)
Property / Symbols used: Q10871 / qualifier
 
xml-id: C1.S13.XMD14.m1dec
Property / Symbols used
 
Property / Symbols used: Q10872 / rank
 
Normal rank
Property / Symbols used: Q10872 / qualifier
 
test:

r ⁢ ( z ) 𝑟 𝑧 {\displaystyle{\displaystyle r(z)}}

r(z)
Property / Symbols used: Q10872 / qualifier
 
xml-id: C1.S13.XMD15.m1dec
Property / Symbols used
 
Property / Symbols used: Q10859 / rank
 
Normal rank
Property / Symbols used: Q10859 / qualifier
 
test:

f ⁢ ( z ) 𝑓 𝑧 {\displaystyle{\displaystyle f(z)}}

f(z)
Property / Symbols used: Q10859 / qualifier
 
xml-id: C1.S13.XMD2.m1bdec
Property / Symbols used
 
Property / Symbols used: Q10860 / rank
 
Normal rank
Property / Symbols used: Q10860 / qualifier
 
test:

g ⁢ ( z ) 𝑔 𝑧 {\displaystyle{\displaystyle g(z)}}

g(z)
Property / Symbols used: Q10860 / qualifier
 
xml-id: C1.S13.XMD3.m1adec

Latest revision as of 15:18, 1 January 2020

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English
DLMF:1.13.E8
No description defined

    Statements

    test
    d 2 w d z 2 + f ⁢ ( z ) ⁢ d w d z + g ⁢ ( z ) ⁢ w = r ⁢ ( z ) derivative 𝑤 𝑧 2 𝑓 𝑧 derivative 𝑤 𝑧 𝑔 𝑧 𝑤 𝑟 𝑧 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}z}^{2}}+f(z)% \frac{\mathrm{d}w}{\mathrm{d}z}+g(z)w=r(z)}}
    0 references
    DLMF id
    DLMF:1.13.E8
    0 references
    Symbols used
    derivative of $$f$$ with respect to $$x$$
    test
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2abdec
    0 references
    Q10760
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C1.S1.XMD1.m1gdec
    0 references
    Q10871
    test
    w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}
    xml-id
    C1.S13.XMD14.m1dec
    0 references
    Q10872
    test
    r ⁢ ( z ) 𝑟 𝑧 {\displaystyle{\displaystyle r(z)}}
    xml-id
    C1.S13.XMD15.m1dec
    0 references
    Q10859
    test
    f ⁢ ( z ) 𝑓 𝑧 {\displaystyle{\displaystyle f(z)}}
    xml-id
    C1.S13.XMD2.m1bdec
    0 references
    Q10860
    test
    g ⁢ ( z ) 𝑔 𝑧 {\displaystyle{\displaystyle g(z)}}
    xml-id
    C1.S13.XMD3.m1adec
    0 references
     
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