DLMF:3.3.E6 (Q1111): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
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.m3adec

Revision as of 17:44, 1 January 2020

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DLMF:3.3.E6
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    Statements

    Defining formula
    R n ⁢ ( z ) = ω n + 1 ⁢ ( z ) 2 ⁢ π ⁢ i ⁢ ∫ C f ⁢ ( ζ ) ( ζ - z ) ⁢ ω n + 1 ⁢ ( ζ ) ⁢ d ζ , subscript 𝑅 𝑛 𝑧 subscript 𝜔 𝑛 1 𝑧 2 imaginary-unit subscript 𝐶 𝑓 𝜁 𝜁 𝑧 subscript 𝜔 𝑛 1 𝜁 𝜁 {\displaystyle{\displaystyle R_{n}(z)=\frac{\omega_{n+1}(z)}{2\pi\mathrm{i}}% \int_{C}\frac{f(\zeta)}{(\zeta-z)\omega_{n+1}(\zeta)}\mathrm{d}\zeta,}}
    0 references
    DLMF id
    DLMF:3.3.E6
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3adec
    0 references
     
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