DLMF:13.13.E8 (Q4485): Difference between revisions

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Property / constraint
 

| y | < | x | 𝑦 𝑥 {\displaystyle{\displaystyle|y|<|x|}}

|y|<|x|
Property / constraint: | y | < | x | 𝑦 𝑥 {\displaystyle{\displaystyle|y|<|x|}} / rank
 
Normal rank

Revision as of 17:48, 30 December 2019

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DLMF:13.13.E8
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    Statements

    ( x + y x ) 1 - b n = 0 ( 1 + a - b ) n ( - y / x ) n n ! U ( a , b - n , x ) , superscript 𝑥 𝑦 𝑥 1 𝑏 superscript subscript 𝑛 0 Pochhammer 1 𝑎 𝑏 𝑛 superscript 𝑦 𝑥 𝑛 𝑛 Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑛 𝑥 {\displaystyle{\displaystyle\left(\frac{x+y}{x}\right)^{1-b}\*\sum_{n=0}^{% \infty}\frac{{\left(1+a-b\right)_{n}}(-\ifrac{y}{x})^{n}}{n!}U\left(a,b-n,x% \right),}}
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    DLMF:13.13.E8
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    | y | < | x | 𝑦 𝑥 {\displaystyle{\displaystyle|y|<|x|}}
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