DLMF:18.23.E4 (Q5905)

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DLMF:18.23.E4
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    Statements

    test
    ( 1 - z c ) x ⁢ ( 1 - z ) - x - β = ∑ n = 0 ∞ ( β ) n n ! ⁢ M n ⁡ ( x ; β , c ) ⁢ z n , superscript 1 𝑧 𝑐 𝑥 superscript 1 𝑧 𝑥 𝛽 superscript subscript 𝑛 0 Pochhammer 𝛽 𝑛 𝑛 Meixner-polynomial-M 𝑛 𝑥 𝛽 𝑐 superscript 𝑧 𝑛 {\displaystyle{\displaystyle\left(1-\frac{z}{c}\right)^{x}(1-z)^{-x-\beta}=% \sum_{n=0}^{\infty}\frac{{\left(\beta\right)_{n}}}{n!}M_{n}\left(x;\beta,c% \right)z^{n},}}
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    DLMF id
    DLMF:18.23.E4
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    constraint
    | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}
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