Finite form of the quintuple product identity

Author: hgco

August undefined, 2024

WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Recently, Chen-Chu-Gu [4] and Guo-Zeng [6] found independently that Watson’s quintuple product identity follows surprisingly from two basic algebraic identities, called finite forms of Watson’s quintuple product identity. The present paper shows that both identities are … WebThe simplest proof of Jacobi's triple product identity originally due to Cauchy (1843) and Gauss (1866) is reviewed. In the same spirit, we prove by means of induction principle and finite difference method, a finite form of the quintuple product identity.

MATHEMATICS OF COMPUTATION Volume 72, Number 242, …

WebMar 1, 1993 · Durfee rectangles and the Jacobi triple product identity. C. Wenchang. Published 1 March 1993. Mathematics. Acta Mathematica Sinica. By means of the Durfee rectangles of partitions, a very elementary proof for Jacobi's triple product identity and its finite analogue is presented. View on Springer. estbb lyon

arXiv:2107.11495v1 [math.CO] 24 Jul 2024

WebFinite form of the quintuple product identity, J. Combin. Theory Ser. A 113 (2006) 185-187. 11 Citations ... Semi-finite forms of bilateral basic hypergeometric series, Proc. Amer. Math. Soc. 134 (2006) 1719-1725. 22 Citations (with E. Deutsch and S. Elizalde) Old and young leaves on plane trees, European J. Combin. 27(3) (2006) 414-427. WebIn mathematics the Watson quintuple product identity is an infinite product identity introduced by Watson and rediscovered by Bailey (1951 ) and ... W., & Gu, N. S. (2005). … WebTriple product, quintuple product, linear identity, search algorithm. ... is a Laurent series with a finite number of negative-degree terms, which is a power series iff 1 E [-k, k]. ... We say that T2+,E(k, 1) is in reduced form whenever 0 < 1 < k. The next two formulas allow us to put any T2a+3E(k, 1) into reduced form (cf. [4, ... estbb lyon avis

A note on semi-finite forms of the quintuple product …

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WebThe celebrated quintuple product identity follows surprisingly from an almost-trivial algebraic identity, which is the limiting case of the terminating q-Dixon formula. … WebIn this note, further two semi-finite forms of the quintuple product identity are obtained. One is by specialising Rogers' q-Dougall nonterminating very-well-poised ϕ56 series. The other... estbb.frWebNov 1, 2024 · The quintuple product identity (1.1) or its equivalent forms were discovered by Fricke [3], Ramanujan [5] and Watson [6]. This identity has important applications in … hb normal ibu hamil 9 bulan

"WebFinite form of the quintuple product identity @article{Chen2006FiniteFO, title={Finite form of the quintuple product identity}, author={William Y. C. Chen and Wenchang Chu and Nancy S. S. Gu}, journal={J. Comb. Theory, Ser. " - Finite form of the quintuple product identity

Finite form of the quintuple product identity

WebMay 1, 2024 · Abstract. Recently, the authors (Zhu and Zhang, 2024) [9] derived a semi-finite form of the quintuple product identity. In this note, further two semi-finite forms … WebApr 13, 2005 · Title:Finite Form of the Quintuple Product Identity. Authors:William Y. C. Chen, Wenchang Chu, Nancy S. S. Gu. Download PDF. Abstract:The celebrated …

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WebFinite form of the quintuple product identity Computing methodologies Symbolic and algebraic manipulation Symbolic and algebraic algorithms Algebraic algorithms Mathematics of computing Discrete mathematics Combinatorics Mathematical analysis Numerical analysis Computations in finite fields Comments WebFinite Form of the Quintuple Product Identity - NASA/ADS. The celebrated quintuple product identity follows surprisingly from an almost-trivial algebraic identity, which is …

WebMay 13, 2005 · In addition, Paule [28] found a finite form of the quintuple product identity. Two further finite forms have been given in the recent papers [7] and ... WebAbstract. The quintuple product identity was first discovered about 90 years ago. It has been published in many different forms, and at least 29 proofs have been given. We …

WebThe celebrated quintuple product identity follows surprisingly from an almost-trivial algebraic identity, which is the limiting case of the terminating q-Dixon... Skip to main content. We're fighting for the future of our library in court. Show your support now! A line drawing of the Internet Archive headquarters building façade. ... WebThe celebrated quintuple product identity follows surprisingly from an almost-trivial algebraic identity, which is the limiting case of the terminating q-Dixon formula. Finite form of the …

WebJul 24, 2024 · The quintuple product identity are deduced from a new semi-finite form, which are obtained from the very-well-poised series. Comments: 3 pages. Subjects: Combinatorics (math.CO) MSC classes: 33D15, 11F27. Cite as:

WebJul 24, 2024 · A new semi-finite form of the quintuple product identity Jun-Ming Zhu The quintuple product identity are deduced from a new semi-finite form, which are obtained from the very-well-poised series. Submission history From: Jun-Ming Zhu [ view email ] [v1] Sat, 24 Jul 2024 00:42:06 UTC (3 KB) Bibliographic Tools Bibliographic and Citation Tools est behelyezésWebFinite Form of the Quintuple Product Identity - NASA/ADS The celebrated quintuple product identity follows surprisingly from an almost-trivial algebraic identity, which is the limiting case of the terminating q-Dixon formula. estbb tarifWebDec 1, 2015 · A new semi-finite form of the quintuple product identity. Jun-Ming Zhu; Mathematics. 2024; The quintuple product identity are deduced from a new semi … hb normal ibu hamil berapahttp://www.billchen.org/publications.html hb normal ibu hamil menurut sarwonoWebFinite form of the quintuple product identity WilliamY.C. Chen,Wenchang Chu, Nancy S.S. Gu Center for Combinatorics, LPMC, Nankai University, Tianjin 300071, PR China Received 25 February 2005 Communicated by GeorgeAndrews Available online 26 May 2005 Abstract The celebrated quintuple product identity follows surprisingly from an … estbb ucly lyonWebThis identity has several important applications in combinatorial analysis, number theory and special functions. For the historical note, we refer the reader to the paper [1]. In this short note, we shall show that identity (1) follows surprisingly from the following algebraic identity. Theorem (Finite form of the quintuple product identity). estb egyptWebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Recently, Chen-Chu-Gu [4] and Guo-Zeng [6] found independently that Watson’s quintuple … hb normal ibu hamil menurut who