"Bailey pair and lemma"의 두 판 사이의 차이

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*  Conjugate Bailey pair (<math>x=q,y\to\infty, z\to\infty</math>)<br><math>\delta_n=q^{n^2}</math><br><math>\gamma_n=\frac{q^{n^2}}{(q)_{\infty}}</math><br>
 
*  we get the Rogers-Ramanujan identity([[5974537|Slater 18]])<br><math>\sum_{n=0}^{\infty}\frac{q^{n^2}}{ (q)_{n}}=\frac{(q^{3};q^{5})_{\infty}(q^{2};q^{5})_{\infty}(q^{5};q^{5})_{\infty}}{(q)_{\infty}}=\frac{1}{(q^{1};q^{5})_{\infty}(q^{4};q^{5})_{\infty}}</math><br>
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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 <br> A. Schilling, S.O. Warnaar [http://arxiv.org/abs/math.QA/9909044 A generalization of the q-Saalschutz sum and the Burge transform], 2009<br>
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*  A. Schilling, S.O. Warnaar [http://arxiv.org/abs/math.QA/9909044 A generalization of the q-Saalschutz sum and the Burge transform], 2009<br>
* [http://www.combinatorics.org/Surveys/ds15.pdf Rogers-Ramanujan-Slater Type identities]<br>
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* Mc Laughlin [http://www.combinatorics.org/Surveys/ds15.pdf Rogers-Ramanujan-Slater Type identities], 2008
**  Mc Laughlin, 2008<br>
 
 
* [http://www.springerlink.com/content/478544t414l26v05/ Andrews–Gordon type identities from combinations of Virasoro characters]<br>
 
* [http://www.springerlink.com/content/478544t414l26v05/ Andrews–Gordon type identities from combinations of Virasoro characters]<br>
 
**  Boris Feigin, Omar Foda, Trevor Welsh, 2007<br>
 
**  Boris Feigin, Omar Foda, Trevor Welsh, 2007<br>

2011년 11월 12일 (토) 07:37 판

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