DLMF:5.2.E7 (Q2033)

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DLMF:5.2.E7
No description defined

    Statements

    Defining formula
    ( - m ) n = { ( - 1 ) n ⁢ m ! ( m - n ) ! , 0 ≤ n ≤ m , 0 , n > m , Pochhammer 𝑚 𝑛 cases superscript 1 𝑛 𝑚 𝑚 𝑛 0 𝑛 𝑚 0 𝑛 𝑚 {\displaystyle{\displaystyle{\left(-m\right)_{n}}=\begin{cases}\frac{(-1)^{n}m% !}{(m-n)!},&0\leq n\leq m,\\ 0,&n>m,\end{cases}}}
    0 references
    DLMF id
    DLMF:5.2.E7
    0 references
    Symbols used
    Q10759
    Defining formula
    ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
    xml-id
    C5.S2.SS3.m1acdec
    0 references
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
    0 references
    Q11276
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C5.S1.XMD2.m1dec
    0 references
    Q11274
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C5.S1.XMD3.m1ddec
    0 references
     
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