DLMF:18.23.E2 (Q5903)

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DLMF:18.23.E2
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    Statements

    test
    F 0 2 ⁡ ( - x , - x + β + N + 1 - ; - z ) ⁢ F 0 2 ⁡ ( x - N , x + α + 1 - ; z ) = ∑ n = 0 N ( - N ) n ⁢ ( α + 1 ) n n ! ⁢ Q n ⁡ ( x ; α , β , N ) ⁢ z n , Gauss-hypergeometric-pFq 2 0 𝑥 𝑥 𝛽 𝑁 1 𝑧 Gauss-hypergeometric-pFq 2 0 𝑥 𝑁 𝑥 𝛼 1 𝑧 superscript subscript 𝑛 0 𝑁 Pochhammer 𝑁 𝑛 Pochhammer 𝛼 1 𝑛 𝑛 Hahn-polynomial-Q 𝑛 𝑥 𝛼 𝛽 𝑁 superscript 𝑧 𝑛 {\displaystyle{\displaystyle{{}_{2}F_{0}}\left({-x,-x+\beta+N+1\atop-};-z% \right)\*{{}_{2}F_{0}}\left({x-N,x+\alpha+1\atop-};z\right)=\sum_{n=0}^{N}% \frac{{\left(-N\right)_{n}}{\left(\alpha+1\right)_{n}}}{n!}Q_{n}\left(x;\alpha% ,\beta,N\right)z^{n},}}
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    DLMF id
    DLMF:18.23.E2
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    constraint
    x = 0 , 1 , … , N 𝑥 0 1 … 𝑁 {\displaystyle{\displaystyle x=0,1,\dots,N}}
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