DLMF:17.7.E19 (Q5415)

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DLMF:17.7.E19
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    Statements

    Defining formula
    ϕ r r + 1 ⁡ ( a , b 1 ⁢ q m 1 , … , b r ⁢ q m r b 1 , … , b r ; q , a - 1 ⁢ q 1 - ( m 1 + ⋯ + m r ) ) = 0 , q-hypergeometric-rphis 𝑟 1 𝑟 𝑎 subscript 𝑏 1 superscript 𝑞 subscript 𝑚 1 … subscript 𝑏 𝑟 superscript 𝑞 subscript 𝑚 𝑟 subscript 𝑏 1 … subscript 𝑏 𝑟 𝑞 superscript 𝑎 1 superscript 𝑞 1 subscript 𝑚 1 ⋯ subscript 𝑚 𝑟 0 {\displaystyle{\displaystyle{{}_{r+1}\phi_{r}}\left({a,b_{1}q^{m_{1}},\dots,b_% {r}q^{m_{r}}\atop b_{1},\dots,b_{r}};q,a^{-1}q^{1-(m_{1}+\cdots+m_{r})}\right)% =0,}}
    0 references
    DLMF id
    DLMF:17.7.E19
    0 references
    Symbols used
    basic hypergeometric (or $$q$$ -hypergeometric) function
    Defining formula
    ϕ s r + 1 ⁡ ( a 0 , … , a r ; b 1 , … , b s ; q , z ) q-hypergeometric-rphis 𝑟 1 𝑠 subscript 𝑎 0 … subscript 𝑎 𝑟 subscript 𝑏 1 … subscript 𝑏 𝑠 𝑞 𝑧 {\displaystyle{\displaystyle{{}_{\NVar{r+1}}\phi_{\NVar{s}}}\left(\NVar{a_{0},% \dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}
    xml-id
    C17.S4.E1.m2ardec
    0 references
     
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