DLMF:13.13.E3 (Q4480): 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.E3
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    Statements

    ( x x + y ) a n = 0 ( a ) n y n n ! ( x + y ) n M ( a + n , b , x ) , superscript 𝑥 𝑥 𝑦 𝑎 superscript subscript 𝑛 0 Pochhammer 𝑎 𝑛 superscript 𝑦 𝑛 𝑛 superscript 𝑥 𝑦 𝑛 Kummer-confluent-hypergeometric-M 𝑎 𝑛 𝑏 𝑥 {\displaystyle{\displaystyle\left(\frac{x}{x+y}\right)^{a}\sum_{n=0}^{\infty}% \frac{{\left(a\right)_{n}}y^{n}}{n!(x+y)^{n}}M\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