DLMF:17.6.E7 (Q5374): Difference between revisions

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| z | < 1 , | c | < | b | formulae-sequence 𝑧 1 𝑐 𝑏 {\displaystyle{\displaystyle|z|<1,|c|<|b|}}

|z|<1,|c|<|b|
Property / constraint: | z | < 1 , | c | < | b | formulae-sequence 𝑧 1 𝑐 𝑏 {\displaystyle{\displaystyle|z|<1,|c|<|b|}} / rank
 
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Revision as of 17:59, 30 December 2019

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DLMF:17.6.E7
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    Statements

    ϕ 1 2 ( a , b c ; q , z ) = ( c / b , b z ; q ) ( c , z ; q ) ϕ 1 2 ( a b z / c , b b z ; q , c / b ) , q-hypergeometric-rphis 2 1 𝑎 𝑏 𝑐 𝑞 𝑧 q-multiple-Pochhammer 𝑐 𝑏 𝑏 𝑧 𝑞 q-multiple-Pochhammer 𝑐 𝑧 𝑞 q-hypergeometric-rphis 2 1 𝑎 𝑏 𝑧 𝑐 𝑏 𝑏 𝑧 𝑞 𝑐 𝑏 {\displaystyle{\displaystyle{{}_{2}\phi_{1}}\left({a,b\atop c};q,z\right)=% \frac{\left(c/b,bz;q\right)_{\infty}}{\left(c,z;q\right)_{\infty}}{{}_{2}\phi_% {1}}\left({\ifrac{abz}{c},b\atop bz};q,c/b\right),}}
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    DLMF:17.6.E7
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    | z | < 1 , | c | < | b | formulae-sequence 𝑧 1 𝑐 𝑏 {\displaystyle{\displaystyle|z|<1,|c|<|b|}}
    0 references