DLMF:3.3.E37 (Q1172): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
test:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2aadec
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.m1aadec
Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
test:

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

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2aadec
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.m3aadec
Property / Symbols used
 
Property / Symbols used: Q11163 / rank
 
Normal rank
Property / Symbols used: Q11163 / qualifier
 
test:

C 𝐶 {\displaystyle{\displaystyle C}}

C
Property / Symbols used: Q11163 / qualifier
 
xml-id: C3.S3.XMD13.m1dec
Property / Symbols used
 
Property / Symbols used: nodal polynomial (locally) / rank
 
Normal rank
Property / Symbols used: nodal polynomial (locally) / qualifier
 
test:

ω n + 1 ⁢ ( z ) subscript 𝜔 𝑛 1 𝑧 {\displaystyle{\displaystyle\omega_{n+1}(z)}}

\omega_{n+1}(z)
Property / Symbols used: nodal polynomial (locally) / qualifier
 
xml-id: C3.S3.XMD2.m1ddec

Latest revision as of 16:46, 1 January 2020

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DLMF:3.3.E37
No description defined

    Statements

    test
    [ z 0 , z 1 , … , z n ] ⁢ f = 1 2 ⁢ π ⁢ i ⁢ ∫ C f ⁢ ( ζ ) ω n + 1 ⁢ ( ζ ) ⁢ d ζ , subscript 𝑧 0 subscript 𝑧 1 … subscript 𝑧 𝑛 𝑓 1 2 imaginary-unit subscript 𝐶 𝑓 𝜁 subscript 𝜔 𝑛 1 𝜁 𝜁 {\displaystyle{\displaystyle[z_{0},z_{1},\dots,z_{n}]f=\frac{1}{2\pi\mathrm{i}% }\int_{C}\frac{f(\zeta)}{\omega_{n+1}(\zeta)}\mathrm{d}\zeta,}}
    0 references
    DLMF id
    DLMF:3.3.E37
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aadec
    0 references
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aadec
    0 references
    imaginary unit
    test
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aadec
    0 references
    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aadec
    0 references
    Q11163
    test
    C 𝐶 {\displaystyle{\displaystyle C}}
    xml-id
    C3.S3.XMD13.m1dec
    0 references
    nodal polynomial (locally)
    test
    ω n + 1 ⁢ ( z ) subscript 𝜔 𝑛 1 𝑧 {\displaystyle{\displaystyle\omega_{n+1}(z)}}
    xml-id
    C3.S3.XMD2.m1ddec
    0 references
     
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