DLMF:17.9.E4 (Q5430): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11298 / rank
 
Normal rank
Property / Symbols used: Q11298 / qualifier
 
test:

( a ; q ) n q-Pochhammer-symbol 𝑎 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}

\qPochhammer{\NVar{a}}{\NVar{q}}{\NVar{n}}
Property / Symbols used: Q11298 / qualifier
 
xml-id: C17.S2.SS1.p1.m2acdec

Revision as of 14:06, 2 January 2020

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DLMF:17.9.E4
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    Statements

    test
    ϕ 1 2 ⁡ ( q - n , b c ; q , z ) = ( c / b ; q ) n ( c ; q ) n ⁢ ( b ⁢ z q ) n ⁢ ϕ 2 3 ⁡ ( q - n , q / z , q 1 - n / c b ⁢ q 1 - n / c , 0 ; q , q ) , q-hypergeometric-rphis 2 1 superscript 𝑞 𝑛 𝑏 𝑐 𝑞 𝑧 q-Pochhammer-symbol 𝑐 𝑏 𝑞 𝑛 q-Pochhammer-symbol 𝑐 𝑞 𝑛 superscript 𝑏 𝑧 𝑞 𝑛 q-hypergeometric-rphis 3 2 superscript 𝑞 𝑛 𝑞 𝑧 superscript 𝑞 1 𝑛 𝑐 𝑏 superscript 𝑞 1 𝑛 𝑐 0 𝑞 𝑞 {\displaystyle{\displaystyle{{}_{2}\phi_{1}}\left({q^{-n},b\atop c};q,z\right)% =\frac{\left(c/b;q\right)_{n}}{\left(c;q\right)_{n}}\left(\frac{bz}{q}\right)^% {n}{{}_{3}\phi_{2}}\left({q^{-n},q/z,q^{1-n}/c\atop bq^{1-n}/c,0};q,q\right),}}
    0 references
    DLMF id
    DLMF:17.9.E4
    0 references
    Symbols used
    Q11298
    test
    ( a ; q ) n q-Pochhammer-symbol 𝑎 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}
    xml-id
    C17.S2.SS1.p1.m2acdec
    0 references
     
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