DLMF:1.17.E18 (Q677): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
Defining formula:

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

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1andec

Revision as of 16:45, 1 January 2020

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DLMF:1.17.E18
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    Statements

    - π π ϕ ( x ) ( 1 2 π k = - e i k ( x - a ) ) d x = ϕ ( a ) . superscript subscript 𝜋 𝜋 italic-ϕ 𝑥 1 2 𝜋 superscript subscript 𝑘 superscript 𝑒 𝑖 𝑘 𝑥 𝑎 𝑥 italic-ϕ 𝑎 {\displaystyle{\displaystyle\int_{-\pi}^{\pi}\phi(x)\left(\frac{1}{2\pi}\sum_{% k=-\infty}^{\infty}e^{ik(x-a)}\right)\mathrm{d}x=\phi(a).}}
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    DLMF:1.17.E18
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2ajdec
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1andec
    0 references