DLMF:16.4.E16 (Q5210): Difference between revisions

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DLMF:16.4.E16
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    Statements

    Defining formula
    H q p ⁡ ( a 1 , … , a p b 1 , … , b q ; z ) = ∑ k = - ∞ ∞ ( a 1 ) k ⁢ … ⁢ ( a p ) k ( b 1 ) k ⁢ … ⁢ ( b q ) k ⁢ z k . hypergeometric-pHq 𝑝 𝑞 subscript 𝑎 1 … subscript 𝑎 𝑝 subscript 𝑏 1 … subscript 𝑏 𝑞 𝑧 superscript subscript 𝑘 Pochhammer subscript 𝑎 1 𝑘 … Pochhammer subscript 𝑎 𝑝 𝑘 Pochhammer subscript 𝑏 1 𝑘 … Pochhammer subscript 𝑏 𝑞 𝑘 superscript 𝑧 𝑘 {\displaystyle{\displaystyle{{}_{p}H_{q}}\left({a_{1},\dots,a_{p}\atop b_{1},% \dots,b_{q}};z\right)=\sum_{k=-\infty}^{\infty}\frac{{\left(a_{1}\right)_{k}}% \dots{\left(a_{p}\right)_{k}}}{{\left(b_{1}\right)_{k}}\dots{\left(b_{q}\right% )_{k}}}z^{k}.}}
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    DLMF id
    DLMF:16.4.E16
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