DLMF:13.13.E11 (Q4488): Difference between revisions

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Property / constraint
 

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

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

Revision as of 16:48, 30 December 2019

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DLMF:13.13.E11
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    e y ( x x + y ) b - a n = 0 ( - y ) n n ! ( x + y ) n U ( a - n , b , x ) , superscript 𝑒 𝑦 superscript 𝑥 𝑥 𝑦 𝑏 𝑎 superscript subscript 𝑛 0 superscript 𝑦 𝑛 𝑛 superscript 𝑥 𝑦 𝑛 Kummer-confluent-hypergeometric-U 𝑎 𝑛 𝑏 𝑥 {\displaystyle{\displaystyle e^{y}\left(\frac{x}{x+y}\right)^{b-a}\sum_{n=0}^{% \infty}\frac{(-y)^{n}}{n!(x+y)^{n}}U\left(a-n,b,x\right),}}
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    ( y / x ) > - 1 2 𝑦 𝑥 1 2 {\displaystyle{\displaystyle\Re(y/x)>-\tfrac{1}{2}}}
    0 references