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DLMF:13.29.E7 - MaRDI portal

DLMF:13.29.E7 (Q5371)

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DLMF:13.29.E7
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    Statements

    DLMF defining formula
    z - a = ∑ s = 0 ∞ ( a - b + 1 ) s s ! ⁢ w ⁢ ( s ) , superscript 𝑧 𝑎 superscript subscript 𝑠 0 Pochhammer 𝑎 𝑏 1 𝑠 𝑠 𝑤 𝑠 {\displaystyle{\displaystyle z^{-a}=\sum_{s=0}^{\infty}\frac{{\left(a-b+1% \right)_{s}}}{s!}w(s),}}
    0 references
    Symbols used
    Q10733
    DLMF defining formula
    ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
    xml-id
    C5.S2.SS3.m1abdec
    0 references
    Q10729
    DLMF defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5aadec
    0 references
    nonnegative integer
    DLMF defining formula
    s 𝑠 {\displaystyle{\displaystyle s}}
    xml-id
    C13.S1.XMD3.m1adec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1edec
    0 references

    Identifiers

     
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