DLMF:18.20.E8 (Q5850)

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DLMF:18.20.E8
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    Statements

    Defining formula
    C n ⁡ ( x ; a ) = F 0 2 ⁡ ( - n , - x - ; - a - 1 ) . Charlier-polynomial-C 𝑛 𝑥 𝑎 Gauss-hypergeometric-pFq 2 0 𝑛 𝑥 superscript 𝑎 1 {\displaystyle{\displaystyle C_{n}\left(x;a\right)={{}_{2}F_{0}}\left({-n,-x% \atop-};-a^{-1}\right).}}
    0 references
    DLMF id
    DLMF:18.20.E8
    0 references
    Symbols used
    Q11565
    Defining formula
    C n ⁡ ( x ; a ) Charlier-polynomial-C 𝑛 𝑥 𝑎 {\displaystyle{\displaystyle C_{\NVar{n}}\left(\NVar{x};\NVar{a}\right)}}
    xml-id
    C18.S19.T1.t1.r5.m2aadec
    0 references
    Q11125
    Defining formula
    F q p ⁡ ( a 1 , … , a p ; b 1 , … , b q ; z ) Gauss-hypergeometric-pFq 𝑝 𝑞 subscript 𝑎 1 … subscript 𝑎 𝑝 subscript 𝑏 1 … subscript 𝑏 𝑞 𝑧 {\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots% ,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}
    xml-id
    C16.S2.m1aadec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1hdec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1hdec
    0 references
     
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