DLMF:17.7.E3 (Q5399): 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.m2aadec

Revision as of 15:01, 2 January 2020

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DLMF:17.7.E3
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    Statements

    ϕ 2 2 ( c 2 / b 2 , b 2 c , c q ; q 2 , q ) = 1 2 ( b 2 , q ; q 2 ) ( c , c q ; q 2 ) ( ( c / b ; q ) ( b ; q ) + ( - c / b ; q ) ( - b ; q ) ) . q-hypergeometric-rphis 2 2 superscript 𝑐 2 superscript 𝑏 2 superscript 𝑏 2 𝑐 𝑐 𝑞 superscript 𝑞 2 𝑞 1 2 q-multiple-Pochhammer superscript 𝑏 2 𝑞 superscript 𝑞 2 q-multiple-Pochhammer 𝑐 𝑐 𝑞 superscript 𝑞 2 q-Pochhammer-symbol 𝑐 𝑏 𝑞 q-Pochhammer-symbol 𝑏 𝑞 q-Pochhammer-symbol 𝑐 𝑏 𝑞 q-Pochhammer-symbol 𝑏 𝑞 {\displaystyle{\displaystyle{{}_{2}\phi_{2}}\left({\ifrac{c^{2}}{b^{2}},b^{2}% \atop c,cq};q^{2},q\right)=\frac{1}{2}\frac{\left(b^{2},q;q^{2}\right)_{\infty% }}{\left(c,cq;q^{2}\right)_{\infty}}{\left(\frac{\left(c/b;q\right)_{\infty}}{% \left(b;q\right)_{\infty}}+\frac{\left(-c/b;q\right)_{\infty}}{\left(-b;q% \right)_{\infty}}\right)}.}}
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    ( a ; q ) n q-Pochhammer-symbol 𝑎 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}
    C17.S2.SS1.p1.m2aadec
    0 references