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2005 Journal Article Summation formulae for elliptic hypergeometric seriesWarnaar, S. O. (2005). Summation formulae for elliptic hypergeometric series. Proceedings of the American Mathematical Society, 133 (2), 519-527. doi: 10.1090/S0002-9939-04-07558-6 |
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2004 Journal Article The Bailey Lemma and Kostka PolynomialsWarnaar, S. O. (2004). The Bailey Lemma and Kostka Polynomials. Journal of Algebraic Combinatorics, 20 (2), 131-171. doi: 10.1023/B:JACO.0000047280.16877.1f |
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2004 Journal Article On the q-analogue of the sum of cubesWarnaar, S. Ole (2004). On the q-analogue of the sum of cubes. The Electronic Journal of Combinatorics, 11 (1), N13-1-N13-2. |
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2003 Journal Article Extensions of the well-poised and elliptic well-poised Bailey lemmaWarnaar, S. O. (2003). Extensions of the well-poised and elliptic well-poised Bailey lemma. Indagationes Mathematicae, 14 (3-4), 571-588. doi: 10.1016/S0019-3577(03)90060-7 |
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2003 Journal Article The generalized borwein conjecture. II. Refined q-trinomial coefficientsWarnaar, S. O. (2003). The generalized borwein conjecture. II. Refined q-trinomial coefficients. Discrete Mathematics, 272 (2-3), 215-258. doi: 10.1016/S0012-365X(03)00047-5 |
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2003 Journal Article Partial Theta Functions. I. Beyond the Lost NotebookWarnaar, S. O. (2003). Partial Theta Functions. I. Beyond the Lost Notebook. Proceedings of the London Mathematical Society, 87 (2), 363-395. doi: 10.1112/S002461150201403X |
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2002 Journal Article Partial-sum analogues of the Rogers-Ramanujan identitiesWarnaar, S. O. (2002). Partial-sum analogues of the Rogers-Ramanujan identities. Journal of Combinatorial Theory, Series A, 99 (1), 143-161. doi: 10.1006/jcta.2002.3266 |
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2002 Journal Article HypWarnaar, S. O. (2002). Hyp. Australian Mathematical Society Gazette, 29 (5), 277-279. |
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2002 Journal Article Summation and transformation formulas for elliptic hypergeometric seriesWarnaar, S. O. (2002). Summation and transformation formulas for elliptic hypergeometric series. Constructive Approximation, 18 (4), 479-502. doi: 10.1007/s00365-002-0501-6 |
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2002 Conference Publication Conjugate Bailey pairs. From configuration sums and fractional-level string functions to Bailey's lemmaSchilling , A. and Warnaar, S. O. (2002). Conjugate Bailey pairs. From configuration sums and fractional-level string functions to Bailey's lemma. Recent Developments in Infinite-Dimensional Lie Algebras and Conformal Field Theory, Charlottesville, Virginia, USA, 23 - 27 may 2000. American Mathematical Society. |
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2001 Journal Article Refined q-trinomial coefficients and character identitiesWarnaar, SO (2001). Refined q-trinomial coefficients and character identities. Journal of Statistical Physics, 102 (3-4), 1065-1081. doi: 10.1023/A:1004827709169 |
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2001 Conference Publication 50 years of Bailey's lemmaWarnaar, SO (2001). 50 years of Bailey's lemma. Euroconference on Algebraic Combinatorics and Applications (Alcoma99), Grossweinstein Germany, Sep 12-19, 1999. BERLIN: SPRINGER-VERLAG BERLIN. |
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2000 Conference Publication A generalization of the q-Saalschutz sum and the Burge transformSchilling, A and Warnaar, SO (2000). A generalization of the q-Saalschutz sum and the Burge transform. Workshop on Physical Combinatorics, Kyoto Japan, Feb 01-02, 1999. CAMBRIDGE: BIRKHAUSER BOSTON. |
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1999 Journal Article An A(2) Bailey lemma and Rogers-Ramanujan-type identitiesAndrews, GE, Schilling, A and Warnaar, SO (1999). An A(2) Bailey lemma and Rogers-Ramanujan-type identities. Journal of the American Mathematical Society, 12 (3), 677-702. doi: 10.1090/S0894-0347-99-00297-0 |
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1999 Journal Article q-trinomial identitiesWarnaar, SO (1999). q-trinomial identities. Journal of Mathematical Physics, 40 (5), 2514-2530. doi: 10.1063/1.532880 |
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1999 Journal Article Inhomogeneous lattice paths, generalized Kostka polynomials and A(n-1) supernomialsSchilling, A and Warnaar, SO (1999). Inhomogeneous lattice paths, generalized Kostka polynomials and A(n-1) supernomials. Communications in Mathematical Physics, 202 (2), 359-401. doi: 10.1007/s002200050586 |
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1998 Journal Article A note on the trinomial analogue of Bailey's lemmaWarnaar, SO (1998). A note on the trinomial analogue of Bailey's lemma. Journal of Combinatorial Theory Series a, 81 (1), 114-118. doi: 10.1006/jcta.1997.2830 |
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1998 Journal Article A higher level Bailey lemma: Proof and applicationSchilling, A and Warnaar, SO (1998). A higher level Bailey lemma: Proof and application. Ramanujan Journal, 2 (3), 327-349. doi: 10.1023/A:1009746932284 |
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1998 Journal Article Supernomial coefficients, polynomial identities and q-seriesSchilling, A and Warnaar, SO (1998). Supernomial coefficients, polynomial identities and q-series. Ramanujan Journal, 2 (4), 459-494. doi: 10.1023/A:1009780810189 |
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1997 Journal Article Analytic calculation of conformal partition functions: Tricritical hard squares with fixed boundariesOBrien, DL, Pearce, PA and Warnaar, SO (1997). Analytic calculation of conformal partition functions: Tricritical hard squares with fixed boundaries. Nuclear Physics B, 501 (3), 773-799. doi: 10.1016/S0550-3213(97)00424-0 |
