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

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Property / constraint
 

ξ 𝚫 2 ( α 2 ) 𝜉 subscript 𝚫 2 subscript 𝛼 2 {\displaystyle{\displaystyle\xi\in\mathbf{\Delta}_{2}(\alpha_{2})}}

\xi\in\mathbf{\Delta}_{2}(\alpha_{2})
Property / constraint: ξ 𝚫 2 ( α 2 ) 𝜉 subscript 𝚫 2 subscript 𝛼 2 {\displaystyle{\displaystyle\xi\in\mathbf{\Delta}_{2}(\alpha_{2})}} / rank
 
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Revision as of 15:54, 30 December 2019

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DLMF:2.8.E12
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    Statements

    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),}}
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    ξ 𝚫 2 ( α 2 ) 𝜉 subscript 𝚫 2 subscript 𝛼 2 {\displaystyle{\displaystyle\xi\in\mathbf{\Delta}_{2}(\alpha_{2})}}
    0 references