Zhang, Zhizheng; Huang, Junli The \(C_n\) WP-Bailey chain. (English) Zbl 1438.33032 Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 6, 1789-1804 (2018). MSC: 33D67 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Zhizheng; Huang, Junli A \(U(n+1)\) WP-Bailey lattice and its applications. (English) Zbl 1392.33013 Ramanujan J. 46, No. 2, 403-429 (2018). MSC: 33D67 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Ali, S. Ahmad; Rizvi, Sayyad Nadeem Hasan Certain new WP-Bailey pairs and basic hypergeometric series identities. (English) Zbl 1382.33019 Commun. Korean Math. Soc. 32, No. 4, 885-898 (2017). MSC: 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Jitendra The Bailey pairs and the partial theta function. (English) Zbl 1514.05021 Gaṇita 66, 65-76 (2016). MSC: 05A19 05A30 11B65 11F27 × Cite Format Result Cite Review PDF Full Text: Link
Zhang, Zhizheng; Liu, Qiyan \(U(n+1)\) WP-Bailey tree. (English) Zbl 1350.33033 Ramanujan J. 40, No. 3, 447-462 (2016). MSC: 33D15 33D05 05A30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Zhizheng; Huang, Junli A WP-Bailey lattice and its applications. (English) Zbl 1334.33036 Int. J. Number Theory 12, No. 1, 189-203 (2016). Reviewer: Jeremy Lovejoy (Paris) MSC: 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Spiridonov, V. P. Aspects of elliptic hypergeometric functions. (English) Zbl 1307.33007 Berndt, Bruce C. (ed.) et al., The lecacy of Srinivasa Ramanujan. Proceedings of the international conference in celebration of the 125th anniversary of Ramanujan’s birth, University of Delhi, Delhi, India, December 17–22, 2012. Mysore: Ramanujan Mathematical Society (ISBN 978-93-80416-13-7/hbk). Ramanujan Mathematical Society Lecture Notes Series 20, 347-361 (2013). MSC: 33D05 33D15 × Cite Format Result Cite Review PDF Full Text: arXiv
Shukla, D. P.; Singh, Jitendra The Bailey pair and partial theta function II. (English) Zbl 1300.33019 Math. Sci. Res. J. 17, No. 6, 156-166 (2013). MSC: 33D15 33D90 × Cite Format Result Cite Review PDF
Lovejoy, Jeremy; Osburn, Robert Mixed mock modular \(q\)-series. (English) Zbl 1290.33020 J. Indian Math. Soc., New Ser. 2013, Spec. Issue, 45-61 (2013). MSC: 33D15 05A30 11F03 11F37 × Cite Format Result Cite Review PDF Full Text: arXiv
Lovejoy, Jeremy; Osburn, Robert The Bailey chain and mock theta functions. (English) Zbl 1290.33019 Adv. Math. 238, 442-458 (2013). Reviewer: Jaebum Sohn (Seoul) MSC: 33D15 11F03 11F37 05A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Q.; Ma, X. On a characteristic equation of well-poised Bailey chains. (English) Zbl 1172.05009 Ramanujan J. 18, No. 3, 351-370 (2009). MSC: 05A19 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Alladi, Krishnaswami; Berkovich, Alexander Göllnitz-Gordon partitions with weights and parity conditions. (English) Zbl 1176.11047 Aoki, Takashi (ed.) et al., Zeta functions, topology and quantum physics. Papers of the symposium, Osaka, Japan, March 3–6, 2003. New York, NY: Springer (ISBN 0-387-24972-9/hbk; 0-387-24981-8/ebook). Developments in Mathematics 14, 1-17 (2005). Reviewer: Ricardo Mamede (Coimbra) MSC: 11P81 05A17 11P83 05A30 33D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andrews, George E. Bailey’s transform, lemma, chains and tree. (English) Zbl 1005.33005 Bustoz, Joaquin (ed.) et al., Special functions 2000: current perspective and future directions. Proceedings of the NATO Advanced Study Institute, Tempe, AZ, USA, May 29-June 9, 2000. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 30, 1-22 (2001). Reviewer: David M.Bressoud (Saint Paul) MSC: 33D15 05A17 × Cite Format Result Cite Review PDF
Warnaar, S. Ole 50 years of Bailey’s lemma. (English) Zbl 0972.11003 Betten, Anton (ed.) et al., Algebraic combinatorics and applications. Proceedings of the Euroconference, ALCOMA, Gößweinstein, Germany, September 12-19, 1999. Berlin: Springer. 333-347 (2001). Reviewer: Tom M.Apostol (Pasadena) MSC: 11-03 05-03 11-02 05-02 05A19 11P99 × Cite Format Result Cite Review PDF Full Text: arXiv
Andrews, George E. Umbral calculus, Bailey chains, and pentagonal number theorems. (English) Zbl 0985.11048 J. Comb. Theory, Ser. A 91, No. 1-2, 464-475 (2000). Reviewer: Shaun Cooper (Auckland) MSC: 11P81 05A40 33D80 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Milne, Stephen C.; Lilly, Glenn M. The \(A_ l\) and \(C_ l\) Bailey transform and lemma. (English) Zbl 0757.33008 Bull. Am. Math. Soc., New Ser. 26, No. 2, 258-263 (1992). Reviewer: V.Makarov (Kiev) MSC: 33D80 05A19 05A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andrews, George E. On the proofs of the Rogers-Ramanujan identities. (English) Zbl 0695.10010 q-Series and partitions, Proc. Workshop, Minneapolis/MN (USA) 1988, IMA Vol. Math. Appl. 18, 1-14 (1989). Reviewer: D.M.Bressoud MSC: 11P81 05A17 33C05 05A30 × Cite Format Result Cite Review PDF
Bressoud, D. M. The Bailey lattice: an introduction. (English) Zbl 0652.10011 Ramanujan revisited, Proc. Conf., Urbana-Champaign/Illinois 1987, 57-67 (1988). Reviewer: Mohindar S. Cheema (Tucson) MSC: 11P81 11P84 05A19 05A17 × Cite Format Result Cite Review PDF