DLMF:17.6.E25 (Q5392): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11298 / rank
 
Normal rank
Property / Symbols used: Q11298 / qualifier
 
Defining formula:

( 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.m2aidec

Revision as of 15:00, 2 January 2020

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DLMF:17.6.E25
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    Statements

    Defining formula
    𝒟 q n ⁢ ϕ 1 2 ⁡ ( a , b c ; q , z ⁢ d ) = ( a , b ; q ) n ⁢ d n ( c ; q ) n ⁢ ( 1 - q ) n ⁢ ϕ 1 2 ⁡ ( a ⁢ q n , b ⁢ q n c ⁢ q n ; q , d ⁢ z ) , superscript subscript 𝒟 𝑞 𝑛 q-hypergeometric-rphis 2 1 𝑎 𝑏 𝑐 𝑞 𝑧 𝑑 q-multiple-Pochhammer 𝑎 𝑏 𝑞 𝑛 superscript 𝑑 𝑛 q-Pochhammer-symbol 𝑐 𝑞 𝑛 superscript 1 𝑞 𝑛 q-hypergeometric-rphis 2 1 𝑎 superscript 𝑞 𝑛 𝑏 superscript 𝑞 𝑛 𝑐 superscript 𝑞 𝑛 𝑞 𝑑 𝑧 {\displaystyle{\displaystyle\mathcal{D}_{q}^{n}{{}_{2}\phi_{1}}\left({a,b\atop c% };q,zd\right)=\frac{\left(a,b;q\right)_{n}d^{n}}{\left(c;q\right)_{n}(1-q)^{n}% }{{}_{2}\phi_{1}}\left({aq^{n},bq^{n}\atop cq^{n}};q,dz\right),}}
    0 references
    DLMF id
    DLMF:17.6.E25
    0 references
    Symbols used
    Q11298
    Defining formula
    ( 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.m2aidec
    0 references
     
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