DLMF:13.13.E6 (Q4483)

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DLMF:13.13.E6
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    e y ( x + y x ) 1 - b n = 0 ( 1 - b ) n ( - y ) n n ! x n M ( a - n , b - n , x ) , superscript 𝑒 𝑦 superscript 𝑥 𝑦 𝑥 1 𝑏 superscript subscript 𝑛 0 Pochhammer 1 𝑏 𝑛 superscript 𝑦 𝑛 𝑛 superscript 𝑥 𝑛 Kummer-confluent-hypergeometric-M 𝑎 𝑛 𝑏 𝑛 𝑥 {\displaystyle{\displaystyle e^{y}\left(\frac{x+y}{x}\right)^{1-b}\sum_{n=0}^{% \infty}\frac{{\left(1-b\right)_{n}}(-y)^{n}}{n!x^{n}}\*M\left(a-n,b-n,x\right)% ,}}
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