DLMF:13.13.E7 (Q4484)

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DLMF:13.13.E7
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    n = 0 ( a ) n ( - y ) n n ! U ( a + n , b + n , x ) , superscript subscript 𝑛 0 Pochhammer 𝑎 𝑛 superscript 𝑦 𝑛 𝑛 Kummer-confluent-hypergeometric-U 𝑎 𝑛 𝑏 𝑛 𝑥 {\displaystyle{\displaystyle\sum_{n=0}^{\infty}\frac{{\left(a\right)_{n}}(-y)^% {n}}{n!}U\left(a+n,b+n,x\right),}}
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    DLMF:13.13.E7
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    | y | < | x | 𝑦 𝑥 {\displaystyle{\displaystyle|y|<|x|}}
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    U ( a , b , z ) Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
    C13.S2.E6.m2adec
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    ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
    C5.S2.SS3.m1afdec
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    ! {\displaystyle{\displaystyle!}}
    introduction.Sx4.p1.t1.r15.m5afdec
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    x 𝑥 {\displaystyle{\displaystyle x}}
    C13.S1.XMD4.m1fdec
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    y 𝑦 {\displaystyle{\displaystyle y}}
    C13.S1.XMD5.m1fdec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C13.S1.XMD2.m1fdec
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