DLMF:1.9.E32 (Q307): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(2 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
Defining formula:

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2aldec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
Defining formula:

{\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3addec
Property / Symbols used
 
Property / Symbols used: Q10821 / rank
 
Normal rank
Property / Symbols used: Q10821 / qualifier
 
Defining formula:

C 𝐶 {\displaystyle{\displaystyle C}}

C
Property / Symbols used: Q10821 / qualifier
 
xml-id: C1.S9.XMD12.m1ddec

Latest revision as of 16:08, 1 January 2020

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English
DLMF:1.9.E32
No description defined

    Statements

    1 2 π i C 1 z - z 0 d z = 𝒩 ( C , z 0 ) , 1 2 𝜋 𝑖 subscript 𝐶 1 𝑧 subscript 𝑧 0 𝑧 𝒩 𝐶 subscript 𝑧 0 {\displaystyle{\displaystyle\frac{1}{2\pi i}\int_{C}\frac{1}{z-z_{0}}\mathrm{d% }z=\mathcal{N}(C,z_{0}),}}
    0 references
    DLMF:1.9.E32
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2aedec
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1addec
    0 references
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2aldec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3addec
    0 references
    C 𝐶 {\displaystyle{\displaystyle C}}
    C1.S9.XMD12.m1ddec
    0 references