DLMF:2.5.E36 (Q812): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
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.m2agdec

Revision as of 17:06, 1 January 2020

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DLMF:2.5.E36
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    Statements

    Defining formula
    E j ⁢ k ⁢ ( x ) = 1 2 ⁢ π ⁢ i ⁢ ∫ q j ⁢ k - i ⁢ ∞ q j ⁢ k + i ⁢ ∞ x - z ⁢ G j ⁢ k ⁢ ( z ) ⁢ d z = o ⁡ ( x - q j ⁢ k ) subscript 𝐸 𝑗 𝑘 𝑥 1 2 𝜋 𝑖 superscript subscript subscript 𝑞 𝑗 𝑘 𝑖 subscript 𝑞 𝑗 𝑘 𝑖 superscript 𝑥 𝑧 subscript 𝐺 𝑗 𝑘 𝑧 𝑧 little-o superscript 𝑥 subscript 𝑞 𝑗 𝑘 {\displaystyle{\displaystyle E_{jk}(x)=\frac{1}{2\pi i}\int_{q_{jk}-i\infty}^{% q_{jk}+i\infty}x^{-z}G_{jk}(z)\mathrm{d}z=o\left(x^{-q_{jk}}\right)}}
    0 references
    DLMF id
    DLMF:2.5.E36
    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.m2agdec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1ahdec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2agdec
    0 references
     
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