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DLMF:13.29.E6 - MaRDI portal

DLMF:13.29.E6 (Q5370)

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DLMF:13.29.E6
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    Statements

    DLMF defining formula
    w ⁢ ( n ) = ( a ) n ⁢ U ⁡ ( n + a , b , z ) , 𝑤 𝑛 Pochhammer 𝑎 𝑛 Kummer-confluent-hypergeometric-U 𝑛 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle w(n)={\left(a\right)_{n}}U\left(n+a,b,z\right),}}
    0 references
    Symbols used
    Kummer confluent hypergeometric function
    DLMF defining formula
    U ⁡ ( a , b , z ) Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
    xml-id
    C13.S2.E6.m2adec
    0 references
    Q10733
    DLMF defining formula
    ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
    xml-id
    C5.S2.SS3.m1aadec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C13.S1.XMD2.m1ddec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1ddec
    0 references
     
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