DLMF:13.8#Ex2 (Q4441)

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DLMF:13.8#Ex2
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    q k ⁢ ( z ) = ∑ s = 0 k ( k s ) ⁢ ( 2 - b + s ) k - s ⁢ z s ⁢ c k + s + 1 ⁢ ( z ) subscript 𝑞 𝑘 𝑧 superscript subscript 𝑠 0 𝑘 binomial 𝑘 𝑠 Pochhammer 2 𝑏 𝑠 𝑘 𝑠 superscript 𝑧 𝑠 subscript 𝑐 𝑘 𝑠 1 𝑧 {\displaystyle{\displaystyle q_{k}(z)=\sum_{s=0}^{k}\genfrac{(}{)}{0.0pt}{}{k}% {s}{\left(2-b+s\right)_{k-s}}z^{s}c_{k+s+1}(z)}}
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    DLMF:13.8#Ex2
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