DLMF:17.4.E8 (Q5357): Difference between revisions

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Changed an Item: Wikidata Toolkit example test statement addition
Changed an Item: Add constraint
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.m2addec

Revision as of 14:55, 2 January 2020

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DLMF:17.4.E8
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    Statements

    Φ ( 4 ) ( a , b ; c , c ; q ; x , y ) = m , n 0 ( a , b ; q ) m + n x m y n ( q , c ; q ) m ( q , c ; q ) n . q-Appell-Phi-4 𝑎 𝑏 𝑐 superscript 𝑐 𝑞 𝑥 𝑦 subscript 𝑚 𝑛 0 q-Pochhammer-symbol 𝑎 𝑏 𝑞 𝑚 𝑛 superscript 𝑥 𝑚 superscript 𝑦 𝑛 q-multiple-Pochhammer 𝑞 𝑐 𝑞 𝑚 q-multiple-Pochhammer 𝑞 superscript 𝑐 𝑞 𝑛 {\displaystyle{\displaystyle\Phi^{(4)}\left(a,b;c,c^{\prime};q;x,y\right)=\sum% _{m,n\geq 0}\frac{\left(a,b;q\right)_{m+n}x^{m}y^{n}}{\left(q,c;q\right)_{m}% \left(q,c^{\prime};q\right)_{n}}.}}
    0 references
    DLMF:17.4.E8
    0 references
    ( a ; q ) n q-Pochhammer-symbol 𝑎 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}
    C17.S2.SS1.p1.m2addec
    0 references