DLMF:17.2.E34 (Q5324): Difference between revisions

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imported>Admin
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.m2aacdec

Revision as of 13:49, 2 January 2020

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DLMF:17.2.E34
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    Statements

    lim n [ r n + u s n + t ] q = 1 ( q ; q ) = j = 1 1 ( 1 - q j ) , subscript 𝑛 q-binomial 𝑟 𝑛 𝑢 𝑠 𝑛 𝑡 𝑞 1 q-Pochhammer-symbol 𝑞 𝑞 superscript subscript product 𝑗 1 1 1 superscript 𝑞 𝑗 {\displaystyle{\displaystyle\lim_{n\to\infty}\genfrac{[}{]}{0.0pt}{}{rn+u}{sn+% t}_{q}=\frac{1}{\left(q;q\right)_{\infty}}=\prod_{j=1}^{\infty}\frac{1}{(1-q^{% j})},}}
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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.m2aacdec
    0 references