DLMF:13.26.E12 (Q4664): Difference between revisions

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Property / constraint
 

( y / x ) > - 1 2 𝑦 𝑥 1 2 {\displaystyle{\displaystyle\Re(y/x)>-\frac{1}{2}}}

\realpart@@{(y/x)}>-\frac{1}{2}
Property / constraint: ( y / x ) > - 1 2 𝑦 𝑥 1 2 {\displaystyle{\displaystyle\Re(y/x)>-\frac{1}{2}}} / rank
 
Normal rank

Revision as of 16:51, 30 December 2019

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DLMF:13.26.E12
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    e 1 2 y ( x x + y ) κ n = 0 1 n ! ( - y x + y ) n W κ + n , μ ( x ) , superscript 𝑒 1 2 𝑦 superscript 𝑥 𝑥 𝑦 𝜅 superscript subscript 𝑛 0 1 𝑛 superscript 𝑦 𝑥 𝑦 𝑛 Whittaker-confluent-hypergeometric-W 𝜅 𝑛 𝜇 𝑥 {\displaystyle{\displaystyle e^{\frac{1}{2}y}\left(\frac{x}{x+y}\right)^{% \kappa}\sum_{n=0}^{\infty}\frac{1}{n!}\left(\frac{-y}{x+y}\right)^{n}W_{\kappa% +n,\mu}\left(x\right),}}
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    ( y / x ) > - 1 2 𝑦 𝑥 1 2 {\displaystyle{\displaystyle\Re(y/x)>-\frac{1}{2}}}
    0 references