DLMF:2.8.E11 (Q945): Difference between revisions

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Property / constraint
 

ξ 𝚫 1 ( α 1 ) 𝜉 subscript 𝚫 1 subscript 𝛼 1 {\displaystyle{\displaystyle\xi\in\mathbf{\Delta}_{1}(\alpha_{1})}}

\xi\in\mathbf{\Delta}_{1}(\alpha_{1})
Property / constraint: ξ 𝚫 1 ( α 1 ) 𝜉 subscript 𝚫 1 subscript 𝛼 1 {\displaystyle{\displaystyle\xi\in\mathbf{\Delta}_{1}(\alpha_{1})}} / rank
 
Normal rank

Revision as of 16:54, 30 December 2019

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DLMF:2.8.E11
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    Statements

    W n , 1 ( u , ξ ) = e u ξ ( s = 0 n - 1 A s ( ξ ) u s + O ( 1 u n ) ) , subscript 𝑊 𝑛 1 𝑢 𝜉 superscript 𝑒 𝑢 𝜉 superscript subscript 𝑠 0 𝑛 1 subscript 𝐴 𝑠 𝜉 superscript 𝑢 𝑠 Big-O 1 superscript 𝑢 𝑛 {\displaystyle{\displaystyle W_{n,1}(u,\xi)=e^{u\xi}\left(\sum_{s=0}^{n-1}% \frac{A_{s}(\xi)}{u^{s}}+O\left(\frac{1}{u^{n}}\right)\right),}}
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    DLMF:2.8.E11
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    ξ 𝚫 1 ( α 1 ) 𝜉 subscript 𝚫 1 subscript 𝛼 1 {\displaystyle{\displaystyle\xi\in\mathbf{\Delta}_{1}(\alpha_{1})}}
    0 references