Bradley-Thrush, J. G. Applications of Tannery’s theorem to Bailey’s \(_6 \psi_6\) summation. (English) Zbl 07922157 J. Math. Anal. Appl. 541, No. 1, Article ID 128659, 13 p. (2025). MSC: 33D15 33C05 33C20 × Cite Format Result Cite Review PDF Full Text: DOI
Channabasavayya; Dasappa, Ranganatha On a generalization of vanishing coefficients in two \(q\)-series expansions. (English) Zbl 07922356 J. Ramanujan Math. Soc. 39, No. 2, 187-192 (2024). MSC: 33D15 05A30 × Cite Format Result Cite Review PDF Full Text: Link
Liu, Ji-Cai On the vanishing coefficients of odd powers of Ramanujan’s theta functions. (English) Zbl 07920318 Ramanujan J. 65, No. 1, 45-52 (2024). MSC: 11F33 33D15 30B10 × Cite Format Result Cite Review PDF Full Text: DOI
Ahmad, Mohammad; Saba, Sameena; Tiwari, Swayamprabha A study of generalized partial mock theta functions. (English) Zbl 07906609 Electron. J. Math. Anal. Appl. 12, No. 2, Paper No. 3, 11 p. (2024). MSC: 33D15 11B65 11F27 × Cite Format Result Cite Review PDF Full Text: DOI
Cui, Su-Ping; Du, Hai-Xing; Gu, Nancy S. S. Strongly unimodal sequences and Hecke-type identities. (English) Zbl 07904792 Adv. Appl. Math. 159, Article ID 102738, 31 p. (2024). MSC: 11F27 11F37 11B65 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Yadav, Ravindra Kumar Certain results involving Mock theta functions of order eight and ten. (English) Zbl 07900758 J. Rajasthan Acad. Phys. Sci. 23, No. 1-2, 56-62 (2024). MSC: 33D15 33D45 33C20 × Cite Format Result Cite Review PDF Full Text: Link
Cao, Jian; Bao, Qi; Arjika, Sama A note on expansions of \(q\)-exponential equations and \(q\)-Hardy-Hille type formulas. (English) Zbl 07900734 Bull. Sci. Math. 195, Article ID 103489, 24 p. (2024). MSC: 05A30 30B10 33D15 33D90 34A25 35C10 × Cite Format Result Cite Review PDF Full Text: DOI
Qureshi, Mohd Idris; Bhat, Aarif Hussain; Majid, Javid Some new general summation formulas contiguous to the Kummer’s first summation theorem. (English) Zbl 07896729 J. Fract. Calc. Appl. 15, No. 2, Paper No. 15, 10 p. (2024). MSC: 33C05 33C20 33D99 33B20 33B15 × Cite Format Result Cite Review PDF Full Text: DOI
Yong, Xu; Zhang, Wenlong Summation formulas for a class of terminating \({}_4 \phi_3\)-series. (English) Zbl 07887400 Ramanujan J. 64, No. 3, 915-930 (2024). Reviewer: Toufik Mansour (Haifa) MSC: 33D15 05A30 × Cite Format Result Cite Review PDF Full Text: DOI
Chaudhary, Kuldipkumar K.; Rao, Snehal B. A note on Wright-type generalized \(q\)-hypergeometric function. (English) Zbl 07881453 Izv. Irkutsk. Gos. Univ., Ser. Mat. 48, 80-94 (2024). MSC: 33D15 33C20 33D05 05A30 11B65 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wang, Jin; Ruan, Ruiqi Some \(q\)-identities derived by the ordinary derivative operator. (English) Zbl 07875294 Proc. Am. Math. Soc. 152, No. 8, 3451-3465 (2024). MSC: 11B65 33D15 05A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Qiuxia New \(q\)-analogues of Van Hamme’s (F.2) supercongruence and of some related supercongruences. (English) Zbl 07872483 Math. Slovaca 74, No. 3, 629-636 (2024). MSC: 33D15 11A07 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Siddaraju; Vinay, G. Certain new Ramanujan type theta function identities. (English) Zbl 07859270 Adv. Stud. Contemp. Math., Kyungshang 34, No. 1, 39-48 (2024). MSC: 33C75 33D15 33D99 × Cite Format Result Cite Review PDF Full Text: DOI
Adamczewski, B.; Bell, J. P.; Delaygue, É.; Jouhet, F. Cyclotomic valuation of \(q\)-Pochhammer symbols and \(q\)-integrality of basic hypergeometric series. (English) Zbl 07856592 Acta Arith. 213, No. 2, 131-167 (2024). Reviewer: Zhi-Guo Liu (Shanghai) MSC: 33D15 33E50 11B65 05A10 05A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Folsom, Amanda; Metacarpa, David Quantum \(q\)-series and mock theta functions. (English) Zbl 07855805 Res. Math. Sci. 11, No. 2, Paper No. 41, 21 p. (2024). MSC: 11F37 11F99 33D15 33D70 33D99 × Cite Format Result Cite Review PDF Full Text: DOI
Dhaouadi, Lazhar; Saidani, Islem Linear transform that preserve real roots of polynomials. (English) Zbl 1540.33017 Anal. Math. Phys. 14, No. 3, Paper No. 65, 15 p. (2024). MSC: 33D15 42A16 42C10 33C10 26C10 30C15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Chenying; Xu, Jianan New contiguous relations for a balanced \(q\)-series and their applications. (English) Zbl 07845636 Ramanujan J. 64, No. 1, 275-287 (2024). MSC: 33D15 40G10 × Cite Format Result Cite Review PDF Full Text: DOI
Mimachi, Katsuhisa A simple proof of Slater’s transformations for bilateral series \({}_r \psi_r,\, {}_{2r}\psi_{2r}\) and \({}_{2r-1}\psi_{2r-1}\). (English) Zbl 1539.33015 Ramanujan J. 64, No. 1, 67-78 (2024). MSC: 33D15 33D65 05A30 33D60 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Xu, Jianan; Ma, Xinrong General \(q\)-series transformations based on Abel’s lemma on summation by parts and their applications. (English) Zbl 07841649 J. Difference Equ. Appl. 30, No. 5, 553-576 (2024). MSC: 33D65 33D15 05A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aluffi, Paolo; Mihalcea, Leonardo C.; Schürmann, Jörg; Su, Changjian Motivic Chern classes of Schubert cells, Hecke algebras, and applications to Casselman’s problem. (Les classes Chern motiviques de cellules Schubert, l’algèbre de Hecke et applications au problème de Casselman.) (English. French summary) Zbl 07837748 Ann. Sci. Éc. Norm. Supér. (4) 57, No. 1, 87-141 (2024). MSC: 14C17 20C08 14M15 17B10 14N15 33D80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wei, Chuanan; Ruan, Guozhu Some double series for \(\pi\) and their \(q\)-analogues. (English) Zbl 1539.11156 J. Math. Anal. Appl. 537, No. 1, Article ID 128309, 12 p. (2024). MSC: 11Y60 11B65 05A30 33D45 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Jian; Guo, Victor J. W.; Yu, Xiao Factors of certain basic hypergeometric sums. (English) Zbl 1536.33017 Ramanujan J. 63, No. 4, 995-1005 (2024). Reviewer: Navneet Lal Sharma (Vadodara) MSC: 33D15 11A07 11B65 12D05 × Cite Format Result Cite Review PDF Full Text: DOI
Güloğlu, Ahmet M.; Yesilyurt, Hamza Modular equations of degrees 13, 29, and 61. (English) Zbl 1533.11082 Ramanujan J. 63, No. 4, 931-945 (2024). MSC: 11F27 11F11 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Gu, Jing; Yang, DunKun; Bao, Qi Two \(q\)-operational equations and Hahn polynomials. (English) Zbl 1535.05036 Complex Anal. Oper. Theory 18, No. 3, Paper No. 53, 29 p. (2024). MSC: 05A30 33D45 33D90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khlifi, Mongia; Chammam, Wathek; Guo, Bai-Ni Several identities and relations related to \(q\)-analogues of Pochhammer \(k\)-symbol with applications to Fuss-Catalan-Qi numbers. (English) Zbl 07822266 Afr. Mat. 35, No. 1, Paper No. 21, 14 p. (2024). MSC: 11B83 11Y55 11C20 11B65 33C45 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Dhar, Aritram On \(_{5} \psi_{5}\) identities of Bailey. (English) Zbl 1539.33014 Int. J. Number Theory 20, No. 2, 507-517 (2024). Reviewer: Uğur Duran (İskenderun) MSC: 33D15 33D65 11B65 11P84 05A19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cao, Jian; Guo, Victor J. W.; Yu, Xiao A new extension of a “divergent” Ramanujan-type supercongruence. (English) Zbl 1536.33016 J. Difference Equ. Appl. 30, No. 1, 122-132 (2024). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 33D15 11A07 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Chuanan \(q\)-supercongruences from Jackson’s \({}_8 \phi_7\) summation and Watson’s \({}_8 \phi_7\) transformation. (English) Zbl 1536.11008 J. Comb. Theory, Ser. A 204, Article ID 105853, 16 p. (2024). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 11C08 33D15 05A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Song, Hanfei; Wang, Chun Some \(q\)-supercongruences from squares of basic hypergeometric series. (English) Zbl 1531.11006 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 36, 15 p. (2024). MSC: 11A07 11B65 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Ni, He-Xia; Wang, Li-Yuan Proof of conjectures of Sun on double basic hypergeometric sums. (English) Zbl 1533.11007 J. Math. Anal. Appl. 532, No. 2, Article ID 127920, 7 p. (2024). MSC: 11A07 11B65 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Gu, Jing; Zhang, Zhizheng Some new identities of Rogers-Ramanujan type. (English) Zbl 1538.11177 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 1, 129-142 (2024). MSC: 11P84 11B65 33D05 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
He, Bing; Wen, Suzhen Multiple expansion formulas over root systems. (English) Zbl 07783603 Result. Math. 79, No. 1, Paper No. 33, 35 p. (2024). MSC: 33D67 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Folsom, Amanda Periodic partial theta functions and \(q\)-hypergeometric knot multisums as quantum Jacobi forms. (English) Zbl 1528.11031 J. Math. Anal. Appl. 530, No. 2, Article ID 127727, 26 p. (2024). MSC: 11F50 11F37 11F99 57K14 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jin; Ma, Xinrong A common recursive formula for Ramanujan’s \(_1\psi_1\) and Bailey’s very-well-poised \(_6\psi_6\) summation formulas. (English) Zbl 1527.33014 Proc. Am. Math. Soc. 152, No. 1, 163-175 (2024). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33D15 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Karp, Dmitrii; Vishnyakova, Anna; Zhang, Yi Unimodality preservation by ratios of functional series and integral transforms. arXiv:2408.01755 Preprint, arXiv:2408.01755 [math.CA] (2024). MSC: 26A48 44A05 15B48 33C20 33D15 33E20 × Cite Format Result Cite Full Text: arXiv OA License
Au, Kam Cheong Wilf-Zeilberger seeds: \(q\)-analogues. arXiv:2403.04555 Preprint, arXiv:2403.04555 [math.CO] (2024). MSC: 11B65 33D15 33C20 33F10 × Cite Format Result Cite Full Text: arXiv OA License
Bhatnagar, Gaurav; Kumari, Archna Expansion formulas for elliptic hypergeometric series. arXiv:2403.03623 Preprint, arXiv:2403.03623 [math.NT] (2024). MSC: 33D15 33D65 33E20 × Cite Format Result Cite Full Text: arXiv OA License
Liu, Zhi-Guo On a transformation of triple \(q\)-series and Rogers–Hecke type series. arXiv:2401.14099 Preprint, arXiv:2401.14099 [math.CV] (2024). MSC: 05A30 33D05 33D15 32A05 11E25 32A10 × Cite Format Result Cite Full Text: arXiv OA License
Qureshi, M. I.; Bhat, A. H.; Majid, J. A family of extensions and generalizations of Kümmer’s second summation theorem. (English) Zbl 07890992 J. Fract. Calc. Appl. 14, No. 1, 191-199 (2023). MSC: 33C05 33C20 33D99 × Cite Format Result Cite Review PDF Full Text: DOI
Srivastava, Bhaskar On the identities of Ramanujan – a \(q\)-series approach. (English) Zbl 1540.33018 Acta Comment. Univ. Tartu. Math. 27, No. 1, 93-99 (2023). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 33D15 05A30 05A19 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Parveen, Sabahat; Mishra, B. P. Continued fractions for bilateral basic hypergeometric series. (English) Zbl 1536.33003 Math. Stud. 92, No. 1-2, 193-204 (2023). MSC: 33C20 33D45 × Cite Format Result Cite Review PDF
Krotkov, Danil I.; Spiridonov, Vyacheslav P. Infinite elliptic hypergeometric series: convergence and diffrence equations. (English. Russian original) Zbl 07838004 Sb. Math. 214, No. 12, 1751-1778 (2023); translation from Mat. Sb. 214, No. 12, 106-134 (2023). MSC: 30B10 33D15 33E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv MNR
Chu, Wenchang Almost poised \(_2\phi_1\)-series extended with two integer parameters. (English) Zbl 07831172 Math. Rep., Buchar. 25(75), No. 4, 565-576 (2023). MSC: 33D15 05A30 × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Satya Prakash; Singh, Ashish Pratap On certain results involving square of Ramanujan’s mock theta functions. (English) Zbl 07828510 South East Asian J. Math. Math. Sci. 19, No. 2, 157-162 (2023). MSC: 33C20 33D45 × Cite Format Result Cite Review PDF Full Text: DOI
Saadi, Faouaz; Daher, Radouan Equivalence of \(K\)-functionals and modulus of smoothness generated by a Dunkl type operator on the interval \((-1, 1)\). (English) Zbl 07811824 C. R., Math., Acad. Sci. Paris 361, 1625-1633 (2023). MSC: 46E35 33D60 43A30 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Lu, Zhi-Qiang; Mu, Yan-Ping Inversion relations and the \(q\)-Racah polynomials. (English) Zbl 1534.33015 Houston J. Math. 49, No. 2, 353-368 (2023). MSC: 33D15 33D80 11B65 05A30 × Cite Format Result Cite Review PDF Full Text: Link
Chen, Xiaojing; Chu, Wenchang \(q\)-analogues of \(\pi \)-series by applying Carlitz inversions to \(q\)-Pfaff-Saalschütz theorem. (English) Zbl 1535.33018 Contrib. Discrete Math. 18, No. 2, 91-112 (2023). Reviewer: Roberto S. Costas-Santos (Sevilla) MSC: 33D15 05A30 05A10 11B65 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Sharath, G. On some \(P\)-\(Q\) modular equations of degree 45. (English) Zbl 1533.11084 Proyecciones 42, No. 3, 631-650 (2023). MSC: 11F27 11B65 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Pant, G. S.; Chand, K. B.; Pathak, Manoj Kumar Basic bilateral hypergeometric function \(_2\Psi_2\) and continued fractions. (English) Zbl 1538.33026 South East Asian J. Math. Math. Sci. 19, No. 1, 81-90 (2023). MSC: 33D15 11A55 40A15 05A17 × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Satya Prakash; Rawat, Akash A note on Heine’s transformation. (English) Zbl 1538.33027 South East Asian J. Math. Math. Sci. 19, No. 1, 73-80 (2023). MSC: 33D15 33D65 05A30 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Shruthi; Kumar, B. R. Srivatsa A note on \(P\)-\(Q\) type modular equations and their evaluations. (English) Zbl 1534.11061 São Paulo J. Math. Sci. 17, No. 2, 940-956 (2023). MSC: 11F27 11F20 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Srivastava, Bhaskar On a continued fraction of Ramanujan, two and four-square theorems and bibasic \(q\)-Appell functions. (English) Zbl 1536.33019 São Paulo J. Math. Sci. 17, No. 2, 754-765 (2023). Reviewer: Lei Yang (Beijing) MSC: 33D15 33D65 33D70 11Y65 11A55 11F20 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zhi Guo A multiple \(q\)-translation formula and its implications. (English) Zbl 1535.33017 Acta Math. Sin., Engl. Ser. 39, No. 12, 2338-2363 (2023). Reviewer: Thomas Ernst (Uppsala) MSC: 33D05 33D15 33D45 05A30 39A13 41A58 32A05 30B10 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, Wenchang Products of \(\mathrm{two}_1 \phi_1\) series and implications. (English) Zbl 1533.33024 Math. Methods Appl. Sci. 46, No. 1, 830-839 (2023). MSC: 33D15 05A30 05A19 05A10 11B65 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Zhizheng; Song, Hanfei Some identities of certain basic hypergeometric series and their applications to mock theta functions. (English) Zbl 1536.33021 Indian J. Pure Appl. Math. 54, No. 4, 1214-1225 (2023). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33D15 11B65 11F27 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, Wenchang Terminating almost poised \(q\)-Dixon sums. (English) Zbl 1532.33029 Kyushu J. Math. 77, No. 1, 131-140 (2023). MSC: 33D15 05A30 × Cite Format Result Cite Review PDF Full Text: DOI
Cui, Su-Ping; Gu, Nancy S. S.; Tang, Dazhao Generalizations of mock theta functions and Appell-Lerch sums. (English) Zbl 1539.33013 Bull. Iran. Math. Soc. 49, No. 5, Paper No. 71, 17 p. (2023). Reviewer: Navneet Lal Sharma (Vadodara) MSC: 33D15 11B65 11F27 × Cite Format Result Cite Review PDF Full Text: DOI
Pétréolle, Mathias; Sokal, Alan D.; Zhu, Bao-Xuan Lattice paths and branched continued fractions: an infinite sequence of generalizations of the Stieltjes-Rogers and Thron-Rogers polynomials, with coefficientwise Hankel-total positivity. (English) Zbl 1528.05001 Memoirs of the American Mathematical Society 1450. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6268-0/pbk; 978-1-4704-7683-0/ebook). v, 154 p. (2023). MSC: 05-02 33-02 05A15 05A19 42C05 33C05 33C20 33D05 05A20 05C30 05E05 15B05 15B48 30B70 30E05 44A60 11B68 11A55 11B75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Zhiguo A multiple \(q\)-exponential differential operational identity. (English) Zbl 07764465 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 6, 2449-2470 (2023). MSC: 33D05 33D15 33D45 × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Satya Prakash; Rawat, Akash On certain results associated with the transformations of generalized hypergeometric series. (English) Zbl 1531.33014 J. Ramanujan Soc. Math. Math. Sci. 10, No. 2, 37-44 (2023). MSC: 33C20 33D15 33D45 05A19 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cao, Jian; Arjika, Sama; Chaudhary, M. P. On Rogers-Ramanujan-Slater type theta function identity. (English) Zbl 1539.11136 J. Ramanujan Soc. Math. Math. Sci. 10, No. 2, 29-36 (2023). Reviewer: Ljuben Mutafchiev (Sofia) MSC: 11P84 11F27 05A30 11B65 33D15 33D45 33D60 39A13 39B32 × Cite Format Result Cite Review PDF Full Text: DOI Link
Singh, Satya Prakash; Yadav, Vijay On certain basic hypergeometric series identities. (English) Zbl 1538.33028 J. Indian Math. Soc., New Ser. 90, No. 3-4, 367-374 (2023). MSC: 33D15 11A55 40A15 05A19 × Cite Format Result Cite Review PDF Full Text: DOI
Schlosser, Michael J. Bilateral identities of the Rogers-Ramanujan type. (English) Zbl 07739840 Trans. Am. Math. Soc., Ser. B 10, 1119-1140 (2023). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 11P84 33D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Yao, Olivia X. M. New mock theta functions and formulas for basic hypergeometric series. (English) Zbl 1536.33020 Proc. Edinb. Math. Soc., II. Ser. 66, No. 3, 868-896 (2023). MSC: 33D15 05A30 11B65 11F37 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xiaoxia; Yu, Menglin A generalisation of a supercongruence on the truncated Appell series \(F_3\). (English) Zbl 1530.11005 Bull. Aust. Math. Soc. 107, No. 2, 296-303 (2023). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 33D15 33C65 33C20 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Na New generalisations of Van Hamme’s (G.2) supercongruence. (English) Zbl 1536.11044 Bull. Aust. Math. Soc. 107, No. 2, 177-183 (2023). Reviewer: Enzo Bonacci (Latina) MSC: 11B65 11A07 33D15 05A30 × Cite Format Result Cite Review PDF Full Text: DOI
Kalamir, Ksenija Smoljak Some sharpened and refined versions of the \(q\)-Steffensen inequality. (English) Zbl 1518.33010 Quaest. Math. 46, No. 6, 1221-1235 (2023). MSC: 33D60 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Loualid, El Mehdi; Elgargati, Abdelghani; Daher, Radouan Discrete Fourier-Jacobi transform and generalized Lipschitz classes. (English) Zbl 1522.42011 Acta Math. Vietnam. 48, No. 2, 259-269 (2023). MSC: 42A38 42A16 42B35 26A16 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
McLaughlin, James Some more identities of Kanade-Russell type derived using Rosengren’s method. (English) Zbl 1530.33017 Ann. Comb. 27, No. 2, 329-352 (2023). MSC: 33D15 33D45 11P84 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zhiguo A \(q\)-operational equation and the Rogers-Szegő polynomials. (English) Zbl 1519.05028 Sci. China, Math. 66, No. 6, 1199-1216 (2023). Reviewer: Uğur Duran (Iskenderun) MSC: 05A30 05A40 33D15 33D99 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Na Some \(q\)-supercongruences related to Van Hamme’s (C.2) supercongruence. (English) Zbl 1523.11004 J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127402, 6 p. (2023). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 33D15 33F10 05A30 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Hanfei; Wang, Chun Families of identities involving universal mock theta functions. (English) Zbl 1533.33025 Int. J. Number Theory 19, No. 6, 1453-1472 (2023). Reviewer: M. P. Chaudhary (New Delhi) MSC: 33D15 33D45 11F27 × Cite Format Result Cite Review PDF Full Text: DOI
Mortenson, Eric T.; Sahu, Ankit Expressing \(q\)-series in terms of building blocks of Hecke-type double-sums. (English) Zbl 1540.11037 Int. J. Number Theory 19, No. 6, 1429-1451 (2023). MSC: 11F27 11B65 11F11 33D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cui, Su-Ping; Du, Hai-Xing; Gu, Nancy S. S. Hecke-type double sums and mock theta functions. (English) Zbl 1521.33009 Colloq. Math. 172, No. 2, 191-215 (2023). MSC: 33D15 11F27 × Cite Format Result Cite Review PDF Full Text: DOI
Garvan, F. G. A new approach to the Dyson rank conjectures. (English) Zbl 1525.11120 Ramanujan J. 61, No. 2, 545-566 (2023). Reviewer: Dazhao Tang (Chongqing) MSC: 11P83 11F33 11P81 11P84 33D15 05A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gasper, George Extensions to generalizations of hypergeometric and basic hypergeometric functions of inequalities for quotients of hypergeometric functions that arose in research on financing efficiency of securities-based crowdfunding. (English) Zbl 1530.33004 Ramanujan J. 61, No. 2, 415-423 (2023). MSC: 33C05 33C20 33C90 33D15 33E20 91G99 × Cite Format Result Cite Review PDF Full Text: DOI
Andrews, George E.; van Ekeren, Jethro; Heluani, Reimundo The singular support of the Ising model. (English) Zbl 1519.17032 Int. Math. Res. Not. 2023, No. 10, 8800-8831 (2023). Reviewer: Vijay Yadav (Virar) MSC: 17B69 05A30 82B20 33D15 11P84 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rosengren, Hjalmar Proofs of some partition identities conjectured by Kanade and Russell. (English) Zbl 1523.11189 Ramanujan J. 61, No. 1, 295-317 (2023). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P84 33D15 33D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Liu, Zhi-Guo The Kronecker theta function and a decomposition theorem for theta functions. I. (English) Zbl 1529.11067 Ramanujan J. 61, No. 1, 149-173 (2023). Reviewer: Dazhao Tang (Chongqing) MSC: 11F27 33D15 11F37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saadi, Faouaz; Daher, Radouan Absolutely convergent Fourier-Bessel series and generalized Lipschitz classes. (English) Zbl 1533.43006 Mediterr. J. Math. 20, No. 3, Paper No. 125, 10 p. (2023). MSC: 43A50 42C10 43A30 46E35 33D60 × Cite Format Result Cite Review PDF Full Text: DOI
Mimachi, Katsuhisa Yet another proof of Ramanujan’s \(_1\psi_1\) sum. (English) Zbl 1515.33016 Proc. Am. Math. Soc. 151, No. 8, 3503-3512 (2023). MSC: 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Cui, Su-Ping; Gu, Nancy S. S.; Su, Chen-Yang Generalizations of mock theta functions and radial limits. (English) Zbl 1515.11020 Proc. Am. Math. Soc. 151, No. 8, 3317-3329 (2023). MSC: 11B65 11F27 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jizhen; Song, Hanfei; Zhang, Zhizheng Two new mock theta double sums. (English) Zbl 1524.33076 J. Math. Res. Appl. 43, No. 2, 227-233 (2023). MSC: 33D15 11F27 × Cite Format Result Cite Review PDF Full Text: DOI
Yao, Olivia X. M. Truncated sums for certain restricted partition functions and transformation formulas for basic hypergeometric series. (English) Zbl 1522.11102 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 3, Paper No. 106, 18 p. (2023). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P81 05A17 × Cite Format Result Cite Review PDF Full Text: DOI
Saadi, Faouaz; Daher, Radouan Absolutely convergent Fourier-Jacobi series and generalized Lipschitz classes. (English) Zbl 1523.43003 Integral Transforms Spec. Funct. 34, No. 4, 334-345 (2023). MSC: 43A30 33D60 42C10 × Cite Format Result Cite Review PDF Full Text: DOI
Shibukawa, Genki; Tsuchimi, Satoshi A generalization of Zwegers’ \(\mu\)-function according to the \(q\)-Hermite-Weber difference equation. (English) Zbl 1530.39004 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 014, 23 p. (2023). MSC: 39A13 11B85 33D15 33D45 33D70 05A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Song, Hanfei; Wang, Chun Identities involving mock theta functions and theta functions. (English) Zbl 07679787 Proc. Am. Math. Soc. 151, No. 7, 3009-3022 (2023). MSC: 33D15 05A30 11B65 11F27 14H42 40A05 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Victor J. W.; Schlosser, Michael J. New \(q\)-analogues of Van Hamme’s (E.2) supercongruence and of a supercongruence by Swisher. (English) Zbl 1525.11004 Result. Math. 78, No. 3, Paper No. 105, 13 p. (2023). MSC: 11A07 33D15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Chu, Wenchang; Kiliç, Emrah Fibonomial and Lucanomial sums through well-poised \(q\)-series. (English) Zbl 1524.11034 Hacet. J. Math. Stat. 52, No. 1, 62-72 (2023). MSC: 11B39 05A30 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Quan, Junjie; Xu, Ce; Zhang, Xixi Some evaluations of parametric Euler type sums of harmonic numbers. (English) Zbl 1516.11036 Integral Transforms Spec. Funct. 34, No. 2, 162-179 (2023). Reviewer: Sándor Kiss (Budapest) MSC: 11B83 05A10 05A19 11B65 11M06 33D60 33C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jin, Emma Yu; Schlosser, Michael J. Proof of a bi-symmetric septuple equidistribution on ascent sequences. (English) Zbl 1508.05008 Comb. Theory 3, No. 1, Paper No. 5, 44 p. (2023). MSC: 05A15 05A19 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Lisa H. Rogers-Ramanujan type identities and Chebyshev polynomials of the third kind. (English) Zbl 1511.05016 Ramanujan J. 60, No. 3, 761-794 (2023). MSC: 05A19 33D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Ying; Zhang, Wenlong; Zhang, Jingjing Several \(q\)-series transformation formulas and new Hecke-Rogers type series identities. (English) Zbl 1509.05033 Ramanujan J. 60, No. 3, 627-657 (2023). MSC: 05A30 33C45 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Chuanan On two double series for \(\pi\) and their \(q\)-analogues. (English) Zbl 07663052 Ramanujan J. 60, No. 3, 615-625 (2023). MSC: 33D15 33D05 33C20 11A07 11B65 34M30 05A30 × Cite Format Result Cite Review PDF Full Text: DOI
Munarini, Emanuele Two-parameter identities for \(q\)-Appell polynomials. (English) Zbl 1509.05032 J. Integer Seq. 26, No. 3, Article 23.3.1, 20 p. (2023). MSC: 05A30 05A19 05A40 11B65 11B68 33C45 33D45 × Cite Format Result Cite Review PDF Full Text: Link
Somashekara, D. D.; Thulasi, M. B. Results on vanishing coefficients in certain infinite \(q\)-series expansions. (English) Zbl 1515.11046 Ramanujan J. 60, No. 2, 355-369 (2023). MSC: 11F33 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Victor J. W. A new \(q\)-analogue of Van Hamme’s (A.2) supercongruence. (English) Zbl 1510.11067 Bull. Aust. Math. Soc. 107, No. 1, 22-30 (2023). Reviewer: Guo-Shuai Mao (Nanjing) MSC: 11B65 11A07 33D15 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Victor J. W.; Li, Long \(q\)-supercongruences from squares of basic hypergeometric series. (English) Zbl 1512.11003 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 1, Paper No. 26, 18 p. (2023). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 33D15 05A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Victor J. W.; Schlosser, Michael J. Three families of \(q\)-supercongruences modulo the square and cube of a cyclotomic polynomial. (English) Zbl 1538.11005 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 1, Paper No. 9, 11 p. (2023). MSC: 11A07 11B65 33D15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Forrester, Peter J.; Li, Shi-Hao; Shen, Bo-Jian; Yu, Guo-Fu \(q\)-Pearson pair and moments in \(q\)-deformed ensembles. (English) Zbl 1528.33023 Ramanujan J. 60, No. 1, 195-235 (2023). MSC: 33E20 33C45 33D05 33D15 33D45 15B52 60B20 05A30 39A13 44A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv