He, Thomas Y.; Ji, Kathy Q.; Zhao, Alice X. H. Overpartitions and Bressoud’s conjecture. II. (English) Zbl 1535.05028 Eur. J. Comb. 118, Article ID 103937, 27 p. (2024). MSC: 05A17 05A15 05A19 11P81 11P84 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Thomas Y.; Zhao, Alice X. H. New companions to the generalizations of the Göllnitz-Gordon identities. (English) Zbl 1518.05015 Ramanujan J. 61, No. 4, 1077-1120 (2023). MSC: 05A19 05A17 11P81 11P84 × Cite Format Result Cite Review PDF Full Text: DOI
Lovejoy, Jeremy Bailey pairs and strange identities. (English) Zbl 1509.11035 J. Korean Math. Soc. 59, No. 5, 1015-1045 (2022). Reviewer: Larry Rolen (Dublin) MSC: 11F37 11P84 33D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Thomas Y.; Ji, Kathy Q.; Zhao, Alice X. H. Overpartitions and Bressoud’s conjecture. I. (English) Zbl 1494.05009 Adv. Math. 404, Part A, Article ID 108449, 81 p. (2022). Reviewer: Stephan Wagner (Uppsala) MSC: 05A17 05A19 11P81 11P84 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bian, Ke-Xin; Liu, Yue; Mu, Yan-Ping \(q\)-Gosper algorithm and simple Bailey pairs. (English) Zbl 1509.33027 J. Symb. Comput. 113, 39-52 (2022). MSC: 33F10 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Lovejoy, Jeremy Bailey pairs and indefinite quadratic forms. II: False indefinite theta functions. (English) Zbl 1490.11051 Res. Number Theory 8, No. 2, Paper No. 24, 16 p. (2022). Reviewer: Meinhard Peters (Münster) MSC: 11F27 33D15 11E12 × Cite Format Result Cite Review PDF Full Text: DOI
El Bachraoui, Mohamed Positive alternating sums of integer partitions. (English) Zbl 1479.05023 Ramanujan J. 55, No. 2, 697-711 (2021). MSC: 05A17 05A10 33D15 05A19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Zhizheng; Gu, Jing; Song, Hanfei A new transformation formula involving derived WP-Bailey pair and its applications. (English) Zbl 1513.33046 Filomat 34, No. 13, 4245-4252 (2020). MSC: 33D15 33F05 × Cite Format Result Cite Review PDF Full Text: DOI
Pant, G. S.; Chand, K. B. WP Bailey pairs and double series identities. (English) Zbl 1487.33013 J. Ramanujan Soc. Math. Math. Sci. 8, No. 1, 69-78 (2020). Reviewer: Thomas Ernst (Uppsala) MSC: 33D15 11F20 33D90 33F05 × Cite Format Result Cite Review PDF Full Text: Link
Sahni, Nidhi; Singh, Priyanka; Shahjade, Mohmmad Application of conjugate Bailey pair and conjugate WP-Bailey pair to establish summations and \(q\)-series identities. (English) Zbl 1463.11018 South East Asian J. Math. Math. Sci. 16, No. 1, 65-78 (2020). MSC: 11A55 33D15 33D90 11F20 33F05 × Cite Format Result Cite Review PDF Full Text: Link
Wang, Jin; Ma, Xinrong On the Andrews-Yee identities associated with mock theta functions. (English) Zbl 1439.11122 Ann. Comb. 23, No. 3-4, 1105-1122 (2019). Reviewer: Ilker Inam (Bilecik) MSC: 11F37 33D15 05A30 11P81 × Cite Format Result Cite Review PDF Full Text: DOI
He, Thomas Y.; Ji, Kathy Q.; Wang, Allison Y. F.; Zhao, Alice X. H. An overpartition analogue of the Andrews-Göllnitz-Gordon theorem. (English) Zbl 1416.05030 J. Comb. Theory, Ser. A 166, 254-296 (2019). MSC: 05A17 05A19 11P81 11P83 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pathak, Maheshwar; Srivastava, Pankaj Certain applications of WP-Bailey pairs. (English) Zbl 1414.33017 Asian-Eur. J. Math. 12, No. 3, Article ID 1950049, 14 p. (2019). MSC: 33D15 05A30 11B65 33D65 × Cite Format Result Cite Review PDF Full Text: DOI
Pathak, Maheshwar; Srivastava, Pankaj Application of symmetric bilateral Bailey transformation. (English) Zbl 1488.33053 Kragujevac J. Math. 42, No. 1, 107-129 (2018). MSC: 33D15 33D70 × Cite Format Result Cite Review PDF Full Text: Link
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
Srivastava, H. M.; Singh, S. N.; Singh, S. P.; Yadav, V. A note on the Bailey transform, the Bailey pair and the WP Bailey pair and their applications. (English) Zbl 1433.11019 Russ. J. Math. Phys. 25, No. 3, 396-408 (2018). MSC: 11B65 33D05 × 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
Zhang, Zhizheng; Li, Xiaoqian Mock theta functions in terms of \(q\)-hypergeometric double sums. (English) Zbl 1400.33028 Int. J. Number Theory 14, No. 6, 1715-1728 (2018). Reviewer: D. L. Suthar (Dessie) MSC: 33D15 11F03 × Cite Format Result Cite Review PDF Full Text: DOI
Bhatnagar, Gaurav; Schlosser, Michael J. Elliptic well-poised Bailey transforms and lemmas on root systems. (English) Zbl 1387.33026 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 025, 44 p. (2018). MSC: 33D67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Srivastava, H. M.; Singh, S. N.; Singh, S. P.; Yadav, Vijay Certain derived WP-Bailey pairs and transformation formulas for \(q\)-hypergeometric series. (English) Zbl 1499.11030 Filomat 31, No. 14, 4619-4628 (2017). MSC: 11A55 33D15 33D90 11F20 33F05 × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Satya Prakash; Singh, S. N.; Yadav, Vijay On certain product formulas for basic hypergeometric functions. (English) Zbl 1474.33074 South East Asian J. Math. Math. Sci. 13, No. 2, 85-94 (2017). MSC: 33D15 11A55 33F05 × Cite Format Result Cite Review PDF Full Text: Link
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
Jia, Zeya; Zeng, Jiang Expansions in Askey-Wilson polynomials via Bailey transform. (English) Zbl 1365.33019 J. Math. Anal. Appl. 452, No. 2, 1082-1100 (2017). MSC: 33D45 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Byungchan; Lovejoy, Jeremy Partial indefinite theta identities. (English) Zbl 1430.11059 J. Aust. Math. Soc. 102, No. 2, 255-289 (2017). MSC: 11F37 33D15 11F27 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Jianfeng; Ma, Xinrong Constructive extensions of three summation formulas for \(q\)-series and their applications to bailey pairs. (English) Zbl 1359.05012 Ramanujan J. 42, No. 3, 747-775 (2017). MSC: 05A19 × Cite Format Result Cite Review PDF Full Text: DOI
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
Gu, Nancy S. S.; Liu, Jing Families of multisums as mock theta functions. (English) Zbl 1401.11092 Adv. Appl. Math. 79, 98-124 (2016). MSC: 11F37 11F27 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Mc Laughlin, James General multi-sum transformations and some implications. (English) Zbl 1334.33034 Ramanujan J. 39, No. 3, 545-565 (2016). MSC: 33D15 11B65 05A19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Keilthy, Adam; Osburn, Robert Rogers-Ramanujan type identities for alternating knots. (English) Zbl 1334.33033 J. Number Theory 161, 255-280 (2016). Reviewer: Toufik Mansour (Haifa) MSC: 33D15 05A30 57M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yadav, Ravindra Kumar Basic hypergeometric series and Fourier transform. (English) Zbl 1474.33078 South East Asian J. Math. Math. Sci. 11, No. 1, 93-96 (2015). MSC: 33D90 11A55 × Cite Format Result Cite Review PDF Full Text: Link
Kim, Byungchan; Lovejoy, Jeremy Ramanujan-type partial theta identities and rank differences for special unimodal sequences. (English) Zbl 1326.05008 Ann. Comb. 19, No. 4, 705-733 (2015). MSC: 05A15 33D15 05A30 33D90 × Cite Format Result Cite Review PDF Full Text: DOI
Bartlett, Nick; Warnaar, S. Ole Hall-Littlewood polynomials and characters of affine Lie algebras. (English) Zbl 1323.05130 Adv. Math. 285, 1066-1105 (2015). MSC: 05E05 05E10 17B67 33D67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Zhizheng; Wu, Yun A \(U(n + 1)\) Bailey lattice. (English) Zbl 1315.33022 J. Math. Anal. Appl. 426, No. 2, 747-764 (2015). Reviewer: Jeremy Lovejoy (Paris) MSC: 33D67 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Lovejoy, Jeremy Bailey pairs and indefinite quadratic forms. (English) Zbl 1320.33025 J. Math. Anal. Appl. 410, No. 2, 1002-1013 (2014). MSC: 33D15 11F37 × Cite Format Result Cite Review PDF Full Text: DOI
McLaughlin, James; Zimmer, Peter A reciprocity relation for WP-Bailey pairs. (English) Zbl 1253.33018 Ramanujan J. 28, No. 2, 155-173 (2012). MSC: 33D15 11B65 05A19 11P84 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Srivastava, Pankaj; Rudravarapu, Mohan Certain transformation formulae for polybasic hypergeometric series. (English) Zbl 1226.33004 ISRN Algebra 2011, Article ID 248519, 10 p. (2011). MSC: 33C20 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
McLaughlin, James Some new transformations for Bailey pairs and WP-Bailey pairs. (English) Zbl 1204.33022 Cent. Eur. J. Math. 8, No. 3, 474-487 (2010). MSC: 33D15 11B65 05A19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
McLaughlin, James; Zimmer, Peter General WP-Bailey chains. (English) Zbl 1188.33024 Ramanujan J. 22, No. 1, 11-31 (2010). MSC: 33D15 11B65 05A19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schlosser, Michael J. Multilateral inversion of \(A_{r}\), \(C_{r}\), and \(D_{r}\) basic hypergeometric series. (English) Zbl 1232.33031 Ann. Comb. 13, No. 3, 341-363 (2009). MSC: 33D67 15A09 33D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
McLaughlin, James; Sills, Andrew V.; Zimmer, Peter Lifting Bailey pairs to WP-Bailey pairs. (English) Zbl 1187.05016 Discrete Math. 309, No. 16, 5077-5091 (2009). MSC: 05A30 33D15 11B65 11P84 × 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
McLaughlin, James; Zimmer, Peter Some implications of the WP-Bailey tree. (English) Zbl 1173.33015 Adv. Appl. Math. 43, No. 2, 162-175 (2009). Reviewer: Toufik Mansour (Haifa) MSC: 33D15 11B65 05A19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chu, Wenchang; Zhang, Wenlong Bilateral Bailey lemma and Rogers-Ramanujan identities. (English) Zbl 1173.33310 Adv. Appl. Math. 42, No. 3, 358-391 (2009). Reviewer: Wadim Zudilin (Bonn) MSC: 33D15 33D65 05A15 11P84 × Cite Format Result Cite Review PDF Full Text: DOI
Schlosser, Michael A new multivariable \(_{6 } \psi _{6 }\) summation formula. (English) Zbl 1183.33032 Ramanujan J. 17, No. 3, 305-319 (2008). MSC: 33D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coskun, Hasan An elliptic \(BC_n\) Bailey lemma, multiple Rogers-Ramanujan identities and Euler’s pentagonal number theorems. (English) Zbl 1146.05006 Trans. Am. Math. Soc. 360, No. 10, 5397-5433 (2008). MSC: 05A19 11B65 05E20 33D67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
McLaughlin, James; Zimmer, Peter Some identities between basic hypergeometric series deriving from a new Bailey-type transformation. (English) Zbl 1147.33002 J. Math. Anal. Appl. 345, No. 2, 670-677 (2008). Reviewer: Wadim Zudilin (Bonn) MSC: 33D15 33C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andrews, George E.; Warnaar, S. Ole The Bailey transform and false theta functions. (English) Zbl 1116.33017 Ramanujan J. 14, No. 1, 173-188 (2007). MSC: 33D15 11P83 × Cite Format Result Cite Review PDF Full Text: DOI
Gasper, George; Schlosser, Michael Some curious \(q\)-series expansions and beta integral evaluations. (English) Zbl 1121.33017 Ramanujan J. 13, No. 1-3, 227-240 (2007). Reviewer: Roelof Koekoek (Delft) MSC: 33D15 15A09 05A30 33E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Spiridonov, Vyacheslav P.; Warnaar, S. Ole Inversions of integral operators and elliptic beta integrals on root systems. (English) Zbl 1103.33015 Adv. Math. 207, No. 1, 91-132 (2006). MSC: 33E05 33D60 33D67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hikami, Kazuhiro \(q\)-series and \(L\)-functions related to half-derivatives of the Andrews-Gordon identity. (English) Zbl 1114.11039 Ramanujan J. 11, No. 2, 175-197 (2006). Reviewer: Jeremy Lovejoy (Paris) MSC: 11F23 11F67 33D15 57M27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sills, Andrew V. Identities of the Rogers-Ramanujan-Bailey type. (English) Zbl 1139.33302 J. Math. Anal. Appl. 308, No. 2, 669-688 (2005). MSC: 33D15 11P82 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rosengren, Hjalmar; Schlosser, Michael On Warnaar’s elliptic matrix inversion and Karlsson–Minton-type elliptic hypergeometric series. (English) Zbl 1065.33014 J. Comput. Appl. Math. 178, No. 1-2, 377-391 (2005). MSC: 33E05 11F50 15A09 33D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berkovich, Alexander; Warnaar, S. Ole Positivity preserving transformations for \(q\)-binomial coefficients. (English) Zbl 1061.33015 Trans. Am. Math. Soc. 357, No. 6, 2291-2351 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D15 33D45 33C20 05A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Warnaar, S. Ole The Bailey lemma and Kostka polynomials. (English) Zbl 1056.05143 J. Algebr. Comb. 20, No. 2, 131-171 (2004). MSC: 05E05 11B65 17B67 33D15 05A19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Warnaar, S. Ole Extensions of the well-poised and elliptic well-poised Bailey lemma. (English) Zbl 1054.33013 Indag. Math., New Ser. 14, No. 3-4, 571-588 (2003). MSC: 33D15 33E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv