DLMF:2.8.E12 (Q946): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10784 / rank
 
Normal rank
Property / Symbols used: Q10784 / qualifier
 
test:

∈ {\displaystyle{\displaystyle\in}}

\in
Property / Symbols used: Q10784 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r10.m2aadec

Revision as of 16:25, 1 January 2020

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DLMF:2.8.E12
No description defined

    Statements

    test
    W n , 2 ⁢ ( u , ξ ) = e - u ⁢ ξ ⁢ ( ∑ s = 0 n - 1 ( - 1 ) s ⁢ A s ⁢ ( ξ ) u s + O ⁡ ( 1 u n ) ) , subscript 𝑊 𝑛 2 𝑢 𝜉 superscript 𝑒 𝑢 𝜉 superscript subscript 𝑠 0 𝑛 1 superscript 1 𝑠 subscript 𝐴 𝑠 𝜉 superscript 𝑢 𝑠 Big-O 1 superscript 𝑢 𝑛 {\displaystyle{\displaystyle W_{n,2}(u,\xi)=e^{-u\xi}\left(\sum_{s=0}^{n-1}(-1% )^{s}\frac{A_{s}(\xi)}{u^{s}}+O\left(\frac{1}{u^{n}}\right)\right),}}
    0 references
    DLMF id
    DLMF:2.8.E12
    0 references
    constraint
    ξ ∈ 𝚫 2 ⁢ ( α 2 ) 𝜉 subscript 𝚫 2 subscript 𝛼 2 {\displaystyle{\displaystyle\xi\in\mathbf{\Delta}_{2}(\alpha_{2})}}
    0 references
    Symbols used
    order not exceeding
    test
    O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E3.m2aadec
    0 references
    Q10784
    test
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2aadec
    0 references
     
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