"Bailey pair and lemma"의 두 판 사이의 차이

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<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">introduction</h5>
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==related items==
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* [[manufacturing matrices from lower ranks]]
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* [[q-analogue of summation formulas]]
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* [[Rogers-Ramanujan continued fraction]]
  
 
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==articles==
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* Patkowski, Alexander E. ‘A Note on Some Partitions Related to Ternary Quadratic Forms’. arXiv:1503.08516 [math], 29 March 2015. http://arxiv.org/abs/1503.08516.
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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
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* Mc Laughlin [http://www.combinatorics.org/Surveys/ds15.pdf Rogers-Ramanujan-Slater Type identities], 2008
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* [http://www.springerlink.com/content/478544t414l26v05/ Andrews–Gordon type identities from combinations of Virasoro characters]
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**  Boris Feigin, Omar Foda, Trevor Welsh, 2007
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* [http://www.combinatorics.org/Volume_10/PDF/v10i1r13.pdf Finite Rogers-Ramanujan Type Identities]
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**  Andrew V. Sills, 2003
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* [http://dx.doi.org/10.1142/S0217751X97001110 Virasoro character identities from the Andrews–Bailey construction]
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**  Foda, O., Quano, Y.-H, Int. J. Mod. Phys. A 12, 1651–1675 (1997)
  
 
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* [http://projecteuclid.org/euclid.pjm/1102708707 Multiple series Rogers-Ramanujan type identities.]
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** George E. Andrews, Pacific J. Math.  Volume 114, Number 2 (1984), 267-283.
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* [http://matwbn.icm.edu.pl/ksiazki/aa/aa43/aa4326.pdf Special values of the dilogarithm function]
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** J. H. Loxton, 1984
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* [http://dx.doi.org/10.1112%2Fjlms%2Fs1-37.1.504 Wilfrid Norman Bailey]
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**  Slater, L. J. (1962), Journal of the London Mathematical Society. Second Series 37: 504–512
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* [http://dx.doi.org/10.1112%2Fplms%2Fs2-54.2.147 Further identities of the Rogers-Ramanujan type]
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**  Slater, L. J. (1952),  Proceedings of the London Mathematical Society. Second Series 54: 147–167
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* [http://dx.doi.org/10.1112/plms/s2-53.6.460 A New Proof of Rogers's Transformations of Infinite Series]
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**  Slater, L. J. (1952), Proc. London Math. Soc. 1951 s2-53: 460-475
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* [http://plms.oxfordjournals.org/cgi/reprint/s2-50/1/1.pdf Identities of Rogers-Ramanujan type]
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**  Bailey, 1944
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[[분류:math and physics]]
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[[분류:migrate]]
  
<h5 style="line-height: 2em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">Bailey lemma</h5>
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==메타데이터==
 
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===위키데이터===
 
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* ID [https://www.wikidata.org/wiki/Q4848398 Q4848398]
 
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===Spacy 패턴 목록===
 
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* [{'LOWER': 'bailey'}, {'LEMMA': 'pair'}]
 
 
 
 
 
 
<h5 style="line-height: 2em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px;">Bailey pair</h5>
 
 
 
*  the sequence <math>\{\alpha_r\}, \{\beta_r\}</math> satisfying the following is called a Bailey pair<br><math>\beta_L=\sum_{r=0}^{L}\frac{\alpha_r}{(q)_{L-r}(aq)_{L+r}}</math><br>
 
*  conjugate Bailey pair  <math>\{\delta_r\}, \{\gamma_r\}</math><br><math>\gamma_L=\sum_{r=L}^{\infty}\frac{\delta_r}{(q)_{r-L}(aq)_{r+L}}</math><br>
 
 
 
 
 
 
 
 
 
 
 
<h5 style="line-height: 2em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px;">Bailey chain</h5>
 
 
 
*  we derive a new Bailey chain from a known Bailey pair<br><math>\alpha^\prime_n= \frac{(\rho_1;q)_n(\rho_2;q)_n(aq/\rho_1\rho_2)^n\alpha_n}{(aq/\rho_1;q)_n(aq/\rho_2;q)_n}</math><br><math>\beta^\prime_n = \sum_{j\ge0}\frac{(\rho_1;q)_j(\rho_2;q)_j(aq/\rho_1\rho_2;q)_{n-j}(aq/\rho_1\rho_2)^j\beta_j}{(q;q)_{n-j}(aq/\rho_1;q)_n(aq/\rho_2;q)_n}</math><br>
 
 
 
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<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">history</h5>
 
 
 
* http://www.google.com/search?hl=en&tbs=tl:1&q=
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">related items</h5>
 
 
 
 
 
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">encyclopedia</h5>
 
 
 
*  <br>
 
* http://en.wikipedia.org/wiki/Bailey_pair
 
* http://en.wikipedia.org/wiki/
 
* http://www.scholarpedia.org/
 
* Princeton companion to mathematics([[2910610/attachments/2250873|Companion_to_Mathematics.pdf]])
 
 
 
 
 
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">books</h5>
 
 
 
* [[2010년 books and articles]]<br>
 
* http://gigapedia.info/1/
 
* http://gigapedia.info/1/
 
* http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
 
 
 
[[4909919|]]
 
 
 
 
 
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">articles</h5>
 
 
 
*   <br>
 
* [http://arxiv.org/abs/0910.2062v2 50 Years of Bailey's lemma]<br>
 
**  S. Ole Warnaar, 2009<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>
 
*   <br>[http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.10.5670 Finite Rogers-Ramanujan Type Identities]<br>
 
**  Andrew V. Sills, 2003<br>
 
* [http://www.combinatorics.org/Surveys/ds15.pdf Rogers-Ramanujan-Slater Type identities]<br>
 
**  Mc Laughlin<br>
 
* [http://dx.doi.org/10.1142/S0217751X97001110 Virasoro character identities from the Andrews–Bailey construction]<br>
 
**  Foda, O., Quano, Y.-H, Int. J. Mod. Phys. A 12, 1651–1675 (1997)<br>
 
* [http://dx.doi.org/10.1112%2Fplms%2Fs2-54.2.147 Further identities of the Rogers-Ramanujan type]<br>
 
**  Slater, L. J. (1952),  Proceedings of the London Mathematical Society. Second Series 54: 147–167<br>
 
 
 
* http://www.ams.org/mathscinet
 
* http://www.zentralblatt-math.org/zmath/en/
 
* http://pythagoras0.springnote.com/
 
* http://math.berkeley.edu/~reb/papers/index.html[http://www.ams.org/mathscinet ]
 
* http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
 
* http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&s7=
 
* http://dx.doi.org/
 
 
 
 
 
 
 
 
 
 
 
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* http://mathoverflow.net/search?q=
 
* http://mathoverflow.net/search?q=
 
 
 
 
 
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">blogs</h5>
 
 
 
*  구글 블로그 검색<br>
 
** http://blogsearch.google.com/blogsearch?q=
 
** http://blogsearch.google.com/blogsearch?q=
 
 
 
 
 
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">experts on the field</h5>
 
 
 
* http://arxiv.org/
 
 
 
 
 
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">links</h5>
 
 
 
* [http://detexify.kirelabs.org/classify.html Detexify2 - LaTeX symbol classifier]
 
* [http://pythagoras0.springnote.com/pages/1947378 수식표현 안내]
 
* [http://www.research.att.com/~njas/sequences/index.html The On-Line Encyclopedia of Integer Sequences]
 
* http://functions.wolfram.com/
 
*
 

2021년 2월 17일 (수) 02:50 기준 최신판

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articles

메타데이터

위키데이터

Spacy 패턴 목록

  • [{'LOWER': 'bailey'}, {'LEMMA': 'pair'}]