DLMF:1.13.E5 (Q469): Difference between revisions

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imported>Admin
 
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Property / Symbols used
 
Property / Symbols used: Q10865 / rank
 
Normal rank
Property / Symbols used: Q10865 / qualifier
 
test:

𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}}

\Wronskian
Property / Symbols used: Q10865 / qualifier
 
xml-id: C1.S13.Px2.p1.m3aadec
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1adec
Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
test:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2adec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
test:

{\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3adec
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.m1ddec
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.m1adec
Property / Symbols used
 
Property / Symbols used: Q10861 / rank
 
Normal rank
Property / Symbols used: Q10861 / qualifier
 
test:

w 1 ( z ) subscript 𝑤 1 𝑧 {\displaystyle{\displaystyle w_{1}(z)}}

w_{1}(z)
Property / Symbols used: Q10861 / qualifier
 
xml-id: C1.S13.XMD5.m1cdec
Property / Symbols used
 
Property / Symbols used: Q10862 / rank
 
Normal rank
Property / Symbols used: Q10862 / qualifier
 
test:

w 2 ( z ) subscript 𝑤 2 𝑧 {\displaystyle{\displaystyle w_{2}(z)}}

w_{2}(z)
Property / Symbols used: Q10862 / qualifier
 
xml-id: C1.S13.XMD6.m1cdec

Latest revision as of 15:18, 1 January 2020

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DLMF:1.13.E5
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    Statements

    𝒲 { w 1 ( z ) , w 2 ( z ) } = c e - f ( z ) d z , Wronskian subscript 𝑤 1 𝑧 subscript 𝑤 2 𝑧 𝑐 superscript 𝑒 𝑓 𝑧 𝑧 {\displaystyle{\displaystyle\mathscr{W}\left\{w_{1}(z),w_{2}(z)\right\}=ce^{-% \int f(z)\mathrm{d}z},}}
    0 references
    0 references
    𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}}
    C1.S13.Px2.p1.m3aadec
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1adec
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    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2adec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3adec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C1.S1.XMD1.m1ddec
    0 references
    f ( z ) 𝑓 𝑧 {\displaystyle{\displaystyle f(z)}}
    C1.S13.XMD2.m1adec
    0 references
    w 1 ( z ) subscript 𝑤 1 𝑧 {\displaystyle{\displaystyle w_{1}(z)}}
    C1.S13.XMD5.m1cdec
    0 references
    w 2 ( z ) subscript 𝑤 2 𝑧 {\displaystyle{\displaystyle w_{2}(z)}}
    C1.S13.XMD6.m1cdec
    0 references