DLMF:18.20.E7 (Q5849)

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DLMF:18.20.E7
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    Statements

    Defining formula
    M n ⁡ ( x ; β , c ) = F 1 2 ⁡ ( - n , - x β ; 1 - c - 1 ) . Meixner-polynomial-M 𝑛 𝑥 𝛽 𝑐 Gauss-hypergeometric-F-as-2F1 𝑛 𝑥 𝛽 1 superscript 𝑐 1 {\displaystyle{\displaystyle M_{n}\left(x;\beta,c\right)={{}_{2}F_{1}}\left({-% n,-x\atop\beta};1-c^{-1}\right).}}
    0 references
    DLMF id
    DLMF:18.20.E7
    0 references
    Symbols used
    Q11581
    Defining formula
    F 1 2 ⁡ ( a , b ; c ; z ) Gauss-hypergeometric-F-as-2F1 𝑎 𝑏 𝑐 𝑧 {\displaystyle{\displaystyle{{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};% \NVar{z}\right)}}
    xml-id
    C16.S2.m5aadec
    0 references
    Q11663
    Defining formula
    M n ⁡ ( x ; β , c ) Meixner-polynomial-M 𝑛 𝑥 𝛽 𝑐 {\displaystyle{\displaystyle M_{\NVar{n}}\left(\NVar{x};\NVar{\beta},\NVar{c}% \right)}}
    xml-id
    C18.S19.T1.t1.r4.m2aadec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1gdec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1gdec
    0 references
     
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