DLMF:13.13.E5 (Q4482)

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DLMF:13.13.E5
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    Statements

    Defining formula
    e y ⁢ ( x x + y ) b - a ⁢ ∑ n = 0 ∞ ( b - a ) n ⁢ y n n ! ⁢ ( x + y ) n ⁢ M ⁡ ( a - n , b , x ) , superscript 𝑒 𝑦 superscript 𝑥 𝑥 𝑦 𝑏 𝑎 superscript subscript 𝑛 0 Pochhammer 𝑏 𝑎 𝑛 superscript 𝑦 𝑛 𝑛 superscript 𝑥 𝑦 𝑛 Kummer-confluent-hypergeometric-M 𝑎 𝑛 𝑏 𝑥 {\displaystyle{\displaystyle e^{y}\left(\frac{x}{x+y}\right)^{b-a}\sum_{n=0}^{% \infty}\frac{{\left(b-a\right)_{n}}y^{n}}{n!(x+y)^{n}}\*M\left(a-n,b,x\right),}}
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    DLMF id
    DLMF:13.13.E5
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    constraint
    ℜ ⁡ ( ( y + x ) / x ) > 1 2 𝑦 𝑥 𝑥 1 2 {\displaystyle{\displaystyle\Re((y+x)/x)>\frac{1}{2}}}
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