Jain, Alok; Bhat, Altaf Ahmad; Jain, Renu; Jain, Deepak Kumar \((p, q)\)-analogue of Mittag-Leffler function with \((p, q)\)-Laplace transform. (English) Zbl 07568033 Anal. Theory Appl. 38, No. 3, 351-360 (2022). MSC: 33D05 33D15 33D60 33C20 PDF BibTeX XML Cite \textit{A. Jain} et al., Anal. Theory Appl. 38, No. 3, 351--360 (2022; Zbl 07568033) Full Text: DOI OpenURL
Hatano, Naoya; Matsunawa, Ryuya; Sato, Tomoki; Takemura, Kouichi Variants of \(q\)-hypergeometric equation. (English) Zbl 07566041 Funkc. Ekvacioj, Ser. Int. 65, No. 2, 159-190 (2022). MSC: 33D15 39A13 PDF BibTeX XML Cite \textit{N. Hatano} et al., Funkc. Ekvacioj, Ser. Int. 65, No. 2, 159--190 (2022; Zbl 07566041) Full Text: DOI OpenURL
Yamaguchi, Yuka Transformation formulas and three-term relations for basic hypergeometric series. (English) Zbl 07566037 Funkc. Ekvacioj, Ser. Int. 65, No. 1, 35-61 (2022). MSC: 33D15 PDF BibTeX XML Cite \textit{Y. Yamaguchi}, Funkc. Ekvacioj, Ser. Int. 65, No. 1, 35--61 (2022; Zbl 07566037) Full Text: DOI OpenURL
Chetry, Jubaraj; Saikia, Nipen Some new quartic modular equations in Ramanujan’s alternative theory of signature 4. (English) Zbl 07565198 J. Anal. 30, No. 2, 691-715 (2022). MSC: 11F20 11F27 11B65 30D10 33D15 PDF BibTeX XML Cite \textit{J. Chetry} and \textit{N. Saikia}, J. Anal. 30, No. 2, 691--715 (2022; Zbl 07565198) Full Text: DOI OpenURL
Srivastava, Bhaskar On the coefficients of a continued fraction of Ramanujan. (English) Zbl 07565062 Publ. Inst. Math., Nouv. Sér. 111, No. 125, 123-127 (2022). MSC: 33D15 11A55 PDF BibTeX XML Cite \textit{B. Srivastava}, Publ. Inst. Math., Nouv. Sér. 111, No. 125, 123--127 (2022; Zbl 07565062) Full Text: DOI OpenURL
Cui, Su-Ping; Gu, Nancy S. S.; Hou, Qing-Hu; Su, Chen-Yang Three-parameter mock theta functions. (English) Zbl 07562113 J. Math. Anal. Appl. 515, No. 2, Article ID 126459, 22 p. (2022). MSC: 11F27 11F37 33D15 11B65 PDF BibTeX XML Cite \textit{S.-P. Cui} et al., J. Math. Anal. Appl. 515, No. 2, Article ID 126459, 22 p. (2022; Zbl 07562113) Full Text: DOI OpenURL
Pushpa, K.; Vasuki, K. R. On Eisenstein series, color partition and divisor function. (English) Zbl 07560271 Arab. J. Math. 11, No. 2, 355-378 (2022). MSC: 11A25 11F20 11M36 11P83 33C05 33D15 PDF BibTeX XML Cite \textit{K. Pushpa} and \textit{K. R. Vasuki}, Arab. J. Math. 11, No. 2, 355--378 (2022; Zbl 07560271) Full Text: DOI OpenURL
Zhang, Helen W. J. Further extensions of some truncated Hecke type identities. (English) Zbl 07560236 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 1, 73-90 (2022). MSC: 33D15 PDF BibTeX XML Cite \textit{H. W. J. Zhang}, Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 1, 73--90 (2022; Zbl 07560236) Full Text: DOI OpenURL
Song, Hanfei; Wang, Chun Hecke-type triple sums associated with mock theta functions. (English) Zbl 07557858 Ramanujan J. 58, No. 4, 1095-1112 (2022). MSC: 33D15 11F27 PDF BibTeX XML Cite \textit{H. Song} and \textit{C. Wang}, Ramanujan J. 58, No. 4, 1095--1112 (2022; Zbl 07557858) Full Text: DOI OpenURL
Zhu, Jun-Ming; Zhang, Zhi-Zheng A note on semi-finite forms of the quintuple product identity. (English) Zbl 07545079 J. Math. Anal. Appl. 514, No. 2, Article ID 126350, 5 p. (2022). MSC: 33Dxx 11Fxx 33-XX PDF BibTeX XML Cite \textit{J.-M. Zhu} and \textit{Z.-Z. Zhang}, J. Math. Anal. Appl. 514, No. 2, Article ID 126350, 5 p. (2022; Zbl 07545079) Full Text: DOI OpenURL
Chu, Wenchang \(q\)-binomial sums toward Euler’s pentagonal number theorem. (English) Zbl 07544761 Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1545-1557 (2022). MSC: 33D15 11P84 PDF BibTeX XML Cite \textit{W. Chu}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1545--1557 (2022; Zbl 07544761) Full Text: DOI OpenURL
Khan, Sameen Ahmed; Jagannathan, Ramaswamy On certain Appell polynomials and their generalizations based on the Tsallis \(q\)-exponential. (English) Zbl 07544756 Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1453-1472 (2022). MSC: 33E20 33B10 33D99 PDF BibTeX XML Cite \textit{S. A. Khan} and \textit{R. Jagannathan}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1453--1472 (2022; Zbl 07544756) Full Text: DOI OpenURL
Laughlin, James Mc; Zimmer, Peter Further results on vanishing coefficients in infinite products of the form \((q^b, q^{p - b}; q^p )_\infty^3 (q^{j b}, q^{2 p - j b}; q^{2 p})_\infty\). (English) Zbl 07543103 Int. J. Number Theory 18, No. 8, 1863-1885 (2022). MSC: 11B65 33D15 05A19 PDF BibTeX XML Cite \textit{J. M. Laughlin} and \textit{P. Zimmer}, Int. J. Number Theory 18, No. 8, 1863--1885 (2022; Zbl 07543103) Full Text: DOI OpenURL
Zhang, Ying; Zhang, Wenlong Hecke-Rogers type series representations for infinite products. (English) Zbl 07540789 Ramanujan J. 58, No. 3, 889-903 (2022). MSC: 33D15 05A17 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{W. Zhang}, Ramanujan J. 58, No. 3, 889--903 (2022; Zbl 07540789) Full Text: DOI OpenURL
El Bachraoui, Mohamed Some new \(q\)-series identities through an extended Bailey transform. (English) Zbl 07540783 Ramanujan J. 58, No. 3, 747-769 (2022). MSC: 05A30 33D15 PDF BibTeX XML Cite \textit{M. El Bachraoui}, Ramanujan J. 58, No. 3, 747--769 (2022; Zbl 07540783) Full Text: DOI OpenURL
Singh, Chandan; Pant, G. S.; Singh, Sunil Bailey’s transform and Karlsson-Minton formula. (English) Zbl 07528041 South East Asian J. Math. Math. Sci. 18, No. 1, 191-196 (2022). MSC: 05A30 33D15 PDF BibTeX XML Cite \textit{C. Singh} et al., South East Asian J. Math. Math. Sci. 18, No. 1, 191--196 (2022; Zbl 07528041) Full Text: Link OpenURL
Chu, Wenchang Two formulae of Gauss and Bailey for \({}_2 F_1 \left(\frac{1}{2}\right)\)-series. (English) Zbl 07527244 Ann. Pol. Math. 128, No. 2, 113-120 (2022). MSC: 33C20 33D15 PDF BibTeX XML Cite \textit{W. Chu}, Ann. Pol. Math. 128, No. 2, 113--120 (2022; Zbl 07527244) Full Text: DOI OpenURL
Yao, Olivia X. M. New families of mock theta functions and partial fraction decomposition. (English) Zbl 07518350 Adv. Appl. Math. 138, Article ID 102347, 33 p. (2022). MSC: 33D15 11F27 PDF BibTeX XML Cite \textit{O. X. M. Yao}, Adv. Appl. Math. 138, Article ID 102347, 33 p. (2022; Zbl 07518350) Full Text: DOI OpenURL
Chu, Wenchang Divided differences and well-poised \(q\)-series. (English) Zbl 07513892 J. Difference Equ. Appl. 28, No. 4, 485-495 (2022). Reviewer: Zhi-Guo Liu (Shanghai) MSC: 33D15 PDF BibTeX XML Cite \textit{W. Chu}, J. Difference Equ. Appl. 28, No. 4, 485--495 (2022; Zbl 07513892) Full Text: DOI OpenURL
Kaur, Mandeep; Vandna Results on vanishing coefficients in infinite \(q\)-series expansions for certain arithmetic progressions mod 7. (English) Zbl 07510936 Ramanujan J. 58, No. 1, 269-289 (2022). MSC: 33D15 11F33 PDF BibTeX XML Cite \textit{M. Kaur} and \textit{Vandna}, Ramanujan J. 58, No. 1, 269--289 (2022; Zbl 07510936) Full Text: DOI OpenURL
Yu, Menglin; Wang, Xiaoxia Proof of two conjectures of Guo and Schlosser. (English) Zbl 07510934 Ramanujan J. 58, No. 1, 239-252 (2022). MSC: 33D15 11A07 11B65 PDF BibTeX XML Cite \textit{M. Yu} and \textit{X. Wang}, Ramanujan J. 58, No. 1, 239--252 (2022; Zbl 07510934) Full Text: DOI OpenURL
Guo, Victor J. W.; Schlosser, Michael J. A family of \(q\)-supercongruences modulo the cube of a cyclotomic polynomial. (English) Zbl 07505703 Bull. Aust. Math. Soc. 105, No. 2, 296-302 (2022). MSC: 11A07 11B65 11C08 33D15 PDF BibTeX XML Cite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Bull. Aust. Math. Soc. 105, No. 2, 296--302 (2022; Zbl 07505703) Full Text: DOI OpenURL
Bhatnagar, Gaurav; Rai, Surbhi Expansion formulas for multiple basic hypergeometric series over root systems. (English) Zbl 07504728 Adv. Appl. Math. 137, Article ID 102329, 29 p. (2022). MSC: 33D67 33D15 PDF BibTeX XML Cite \textit{G. Bhatnagar} and \textit{S. Rai}, Adv. Appl. Math. 137, Article ID 102329, 29 p. (2022; Zbl 07504728) Full Text: DOI OpenURL
Xia, Ernest X. W. Infinite families of Hecke-Rogers type series and their truncated representations. (English) Zbl 07504727 Adv. Appl. Math. 137, Article ID 102310, 42 p. (2022). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P81 05A17 PDF BibTeX XML Cite \textit{E. X. W. Xia}, Adv. Appl. Math. 137, Article ID 102310, 42 p. (2022; Zbl 07504727) Full Text: DOI OpenURL
Lovejoy, Jeremy Bailey pairs and indefinite quadratic forms. II: False indefinite theta functions. (English) Zbl 07504608 Res. Number Theory 8, No. 2, Paper No. 24, 16 p. (2022). Reviewer: Meinhard Peters (Münster) MSC: 11F27 33D15 11E12 PDF BibTeX XML Cite \textit{J. Lovejoy}, Res. Number Theory 8, No. 2, Paper No. 24, 16 p. (2022; Zbl 07504608) Full Text: DOI OpenURL
Duan, Xue-Feng; Zhang, Ruiming Integral representations for certain series. (English) Zbl 07498268 Proc. Am. Math. Soc. 150, No. 6, 2487-2497 (2022). MSC: 33D99 PDF BibTeX XML Cite \textit{X.-F. Duan} and \textit{R. Zhang}, Proc. Am. Math. Soc. 150, No. 6, 2487--2497 (2022; Zbl 07498268) Full Text: DOI OpenURL
Li, Yingkun; Schwagenscheidt, Markus Mock modular forms with integral Fourier coefficients. (English) Zbl 07496422 Adv. Math. 399, Article ID 108264, 30 p. (2022). MSC: 11F27 11F37 11F55 33D15 11F50 PDF BibTeX XML Cite \textit{Y. Li} and \textit{M. Schwagenscheidt}, Adv. Math. 399, Article ID 108264, 30 p. (2022; Zbl 07496422) Full Text: DOI OpenURL
Zhang, Helen W. J. Further generalizations of some Hecke-type identities. (English) Zbl 07488468 Int. J. Number Theory 18, No. 2, 361-387 (2022). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P81 05A17 11F03 33D15 PDF BibTeX XML Cite \textit{H. W. J. Zhang}, Int. J. Number Theory 18, No. 2, 361--387 (2022; Zbl 07488468) Full Text: DOI OpenURL
Chen, Rong; Garvan, F. G. A proof of the mod 4 unimodal sequence conjectures and related mock theta functions. (English) Zbl 07483909 Adv. Math. 398, Article ID 108235, 50 p. (2022). Reviewer: M. P. Chaudhary (New Delhi) MSC: 11F03 11E41 11F33 11F37 11P81 11P83 11P84 33D15 05A17 PDF BibTeX XML Cite \textit{R. Chen} and \textit{F. G. Garvan}, Adv. Math. 398, Article ID 108235, 50 p. (2022; Zbl 07483909) Full Text: DOI arXiv OpenURL
Liu, Yudong; Wang, Xiaoxia Some \(q\)-supercongruences from a quadratic transformation by Rahman. (English) Zbl 07464307 Result. Math. 77, No. 1, Paper No. 44, 14 p. (2022). MSC: 33D15 11A07 11B65 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{X. Wang}, Result. Math. 77, No. 1, Paper No. 44, 14 p. (2022; Zbl 07464307) Full Text: DOI arXiv OpenURL
Bradley-Thrush, J. G. Properties of the Appell-Lerch function (I). (English) Zbl 07462100 Ramanujan J. 57, No. 1, 291-367 (2022). MSC: 33D15 11B65 11F27 30D05 33D65 PDF BibTeX XML Cite \textit{J. G. Bradley-Thrush}, Ramanujan J. 57, No. 1, 291--367 (2022; Zbl 07462100) Full Text: DOI OpenURL
Hallnäs, Martin; Langmann, Edwin; Noumi, Masatoshi; Rosengren, Hjalmar From Kajihara’s transformation formula to deformed Macdonald-Ruijsenaars and Noumi-Sano operators. (English) Zbl 1484.81056 Sel. Math., New Ser. 28, No. 2, Paper No. 24, 36 p. (2022). MSC: 81R12 33D52 33D67 PDF BibTeX XML Cite \textit{M. Hallnäs} et al., Sel. Math., New Ser. 28, No. 2, Paper No. 24, 36 p. (2022; Zbl 1484.81056) Full Text: DOI arXiv OpenURL
Wang, Jin On a generalized Weierstrass theta identity. (English) Zbl 07453368 Proc. Am. Math. Soc. 150, No. 2, 719-730 (2022). MSC: 33D90 33D15 33E05 PDF BibTeX XML Cite \textit{J. Wang}, Proc. Am. Math. Soc. 150, No. 2, 719--730 (2022; Zbl 07453368) Full Text: DOI OpenURL
Irmak, Hüseyin; Agarwal, Preveen Certain novel results in relation with relationships between the confluent hypergeometric function and the confluent hypergeometric equation. (English) Zbl 07539953 Proc. Jangjeon Math. Soc. 24, No. 1, 77-89 (2021). MSC: 33C15 33D15 30D05 33E20 30A10 34A30 34A40 30C55 PDF BibTeX XML Cite \textit{H. Irmak} and \textit{P. Agarwal}, Proc. Jangjeon Math. Soc. 24, No. 1, 77--89 (2021; Zbl 07539953) Full Text: DOI OpenURL
Singh, Sunil; Shahjade, Mohmmad Basic analogue of Stieltjes transform and its properties. (English) Zbl 07527876 South East Asian J. Math. Math. Sci. 17, No. 2, 93-96 (2021). MSC: 44A10 47D03 PDF BibTeX XML Cite \textit{S. Singh} and \textit{M. Shahjade}, South East Asian J. Math. Math. Sci. 17, No. 2, 93--96 (2021; Zbl 07527876) Full Text: Link OpenURL
Goswami, Ankush; Osburn, Robert Quantum modularity of partial theta series with periodic coefficients. (English) Zbl 1484.11121 Forum Math. 33, No. 2, 451-463 (2021). MSC: 11F37 33D15 57K16 PDF BibTeX XML Cite \textit{A. Goswami} and \textit{R. Osburn}, Forum Math. 33, No. 2, 451--463 (2021; Zbl 1484.11121) Full Text: DOI OpenURL
Yadav, Vijay; Chandankumar, S. On “mixed” modular equations of degree \(21\). (English) Zbl 07509354 South East Asian J. Math. Math. Sci. 17, No. 1, 153-170 (2021). MSC: 33D15 33E20 11F20 11F27 PDF BibTeX XML Cite \textit{V. Yadav} and \textit{S. Chandankumar}, South East Asian J. Math. Math. Sci. 17, No. 1, 153--170 (2021; Zbl 07509354) Full Text: Link OpenURL
Li, Nadia; Chu, Wenchang Bailey and Daum’s \(q\)-Kummer theorem and extensions. (English) Zbl 07499155 Contrib. Discrete Math. 16, No. 3, 31-41 (2021). MSC: 33D15 05A30 PDF BibTeX XML Cite \textit{N. Li} and \textit{W. Chu}, Contrib. Discrete Math. 16, No. 3, 31--41 (2021; Zbl 07499155) Full Text: Link OpenURL
Lovejoy, Jeremy Quantum \(q\)-series identities. (English) Zbl 07475394 Hardy-Ramanujan J. 44, 61-73 (2021). MSC: 33D15 PDF BibTeX XML Cite \textit{J. Lovejoy}, Hardy-Ramanujan J. 44, 61--73 (2021; Zbl 07475394) Full Text: DOI OpenURL
Budak, Hüseyin Some trapezoid and midpoint type inequalities for newly defined quantum integrals. (English) Zbl 1479.26020 Proyecciones 40, No. 1, 199-215 (2021). MSC: 26D15 05A30 26A51 26E70 33D15 PDF BibTeX XML Cite \textit{H. Budak}, Proyecciones 40, No. 1, 199--215 (2021; Zbl 1479.26020) Full Text: DOI OpenURL
Matsunawa, Ryuya; Sato, Tomoki; Takemura, Kouichi Variants of confluent \(q\)-hypergeometric equations. (English) Zbl 1486.33020 Baklouti, Ali (ed.) et al., Geometric and harmonic analysis on homogeneous spaces and applications. TJC 2019, Djerba, Selected papers based on the presentations at the 6th Tunisian-Japanese conference. In honor of Professor Takaaki Nomura. Tunisia, December 15–19, 2019. Cham: Springer. Springer Proc. Math. Stat. 366, 161-180 (2021). MSC: 33D15 39A13 PDF BibTeX XML Cite \textit{R. Matsunawa} et al., Springer Proc. Math. Stat. 366, 161--180 (2021; Zbl 1486.33020) Full Text: DOI arXiv OpenURL
Guo, Victor J. W.; Wei, Chuanan A \(q\)-congruence for a truncated \(_{4}\varphi_{3}\) series. (English) Zbl 07442481 Czech. Math. J. 71, No. 4, 1157-1165 (2021). MSC: 33D15 11A07 11B65 PDF BibTeX XML Cite \textit{V. J. W. Guo} and \textit{C. Wei}, Czech. Math. J. 71, No. 4, 1157--1165 (2021; Zbl 07442481) Full Text: DOI OpenURL
Song, Hanfei; Wang, Chun Some \(q\)-supercongruences modulo the fifth power of a cyclotomic polynomial from squares of \(q\)-hypergeometric series. (English) Zbl 07432907 Result. Math. 76, No. 4, Paper No. 222, 17 p. (2021). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 33C20 33D15 05A30 05A10 11M06 PDF BibTeX XML Cite \textit{H. Song} and \textit{C. Wang}, Result. Math. 76, No. 4, Paper No. 222, 17 p. (2021; Zbl 07432907) Full Text: DOI OpenURL
Cui, Su-Ping; Gu, Nancy S. S. Some new mock theta functions. (English) Zbl 1483.33009 Adv. Appl. Math. 131, Article ID 102267, 21 p. (2021). MSC: 33D15 11F27 PDF BibTeX XML Cite \textit{S.-P. Cui} and \textit{N. S. S. Gu}, Adv. Appl. Math. 131, Article ID 102267, 21 p. (2021; Zbl 1483.33009) Full Text: DOI OpenURL
Ahmed, H. M. Computing expansions coefficients for Laguerre polynomials. (English) Zbl 1473.42028 Integral Transforms Spec. Funct. 32, No. 4, 271-289 (2021). Reviewer: Iris Athamaica Lopez Palacios (Caracas) MSC: 42C10 33D45 PDF BibTeX XML Cite \textit{H. M. Ahmed}, Integral Transforms Spec. Funct. 32, No. 4, 271--289 (2021; Zbl 1473.42028) Full Text: DOI OpenURL
Liu, Yudong; Wang, Xiaoxia \(q\)-analogues of the (G.2) supercongruence of Van Hamme. (English) Zbl 1469.11004 Rocky Mt. J. Math. 51, No. 4, 1329-1340 (2021). MSC: 11A07 11B65 33D15 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{X. Wang}, Rocky Mt. J. Math. 51, No. 4, 1329--1340 (2021; Zbl 1469.11004) OpenURL
Wei, Chuanan; Liu, Yudong; Wang, Xiaoxia \(q\)-supercongruences from the \(q\)-Saalschütz identity. (English) Zbl 07393151 Proc. Am. Math. Soc. 149, No. 11, 4853-4861 (2021). Reviewer: Jitender Singh (Amritsar) MSC: 33D15 11A07 11B65 PDF BibTeX XML Cite \textit{C. Wei} et al., Proc. Am. Math. Soc. 149, No. 11, 4853--4861 (2021; Zbl 07393151) Full Text: DOI arXiv OpenURL
Liu, Zhi-Guo On the Askey-Wilson polynomials and a \(q\)-beta integral. (English) Zbl 1472.05023 Proc. Am. Math. Soc. 149, No. 11, 4639-4648 (2021). MSC: 05A30 33D15 33D45 11E25 11B65 PDF BibTeX XML Cite \textit{Z.-G. Liu}, Proc. Am. Math. Soc. 149, No. 11, 4639--4648 (2021; Zbl 1472.05023) Full Text: DOI OpenURL
Ismail, Mourad E. H. A brief review of \(q\)-series. (English) Zbl 1483.05013 Cohl, Howard S. (ed.) et al., Lectures on orthogonal polynomials and special functions. Based on the 6th summer school on orthogonal polynomials and special functions (OPSF-S6), University of Maryland, College Park, MD, USA, July 11–15, 2016. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 464, 76-130 (2021). Reviewer: Zhi-Guo Liu (Shanghai) MSC: 05A30 05-02 11B65 33D15 PDF BibTeX XML Cite \textit{M. E. H. Ismail}, Lond. Math. Soc. Lect. Note Ser. 464, 76--130 (2021; Zbl 1483.05013) Full Text: DOI OpenURL
Guo, Victor J. W.; Schlosser, Michael J. Some \(q\)-supercongruences modulo the square and cube of a cyclotomic polynomial. (English) Zbl 1483.33010 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 132, 9 p. (2021). MSC: 33D15 11A07 11B65 PDF BibTeX XML Cite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 132, 9 p. (2021; Zbl 1483.33010) Full Text: DOI arXiv OpenURL
Zhu, Jun-Ming; Zhang, Zhi-Zheng A semi-finite form of the quintuple product identity. (English) Zbl 1481.33013 J. Comb. Theory, Ser. A 184, Article ID 105509, 3 p. (2021). MSC: 33D15 PDF BibTeX XML Cite \textit{J.-M. Zhu} and \textit{Z.-Z. Zhang}, J. Comb. Theory, Ser. A 184, Article ID 105509, 3 p. (2021; Zbl 1481.33013) Full Text: DOI OpenURL
Hou, Qing-Hu; Wei, Yarong Telescoping method, summation formulas, and inversion pairs. (English) Zbl 1480.33011 Electron Res. Arch. 29, No. 4, 2657-2671 (2021). MSC: 33F10 05A19 33D05 PDF BibTeX XML Cite \textit{Q.-H. Hou} and \textit{Y. Wei}, Electron Res. Arch. 29, No. 4, 2657--2671 (2021; Zbl 1480.33011) Full Text: DOI OpenURL
Wei, Chuanan A symmetric formula for hypergeometric series. (English) Zbl 1485.33007 Ramanujan J. 55, No. 3, 919-927 (2021). Reviewer: D. L. Suthar (Dessie) MSC: 33C20 05A19 PDF BibTeX XML Cite \textit{C. Wei}, Ramanujan J. 55, No. 3, 919--927 (2021; Zbl 1485.33007) Full Text: DOI arXiv OpenURL
El Bachraoui, Mohamed On the vanishing of some mock theta functions at odd roots of unity. (English) Zbl 1477.11075 Res. Number Theory 7, No. 3, Paper No. 50, 15 p. (2021). MSC: 11F27 33D15 05A10 PDF BibTeX XML Cite \textit{M. El Bachraoui}, Res. Number Theory 7, No. 3, Paper No. 50, 15 p. (2021; Zbl 1477.11075) Full Text: DOI arXiv OpenURL
Chu, Wenchang Twisted cubic theta hypergeometric series. (English) Zbl 1479.33011 Math. Methods Appl. Sci. 44, No. 1, 239-252 (2021). MSC: 33D15 33E05 PDF BibTeX XML Cite \textit{W. Chu}, Math. Methods Appl. Sci. 44, No. 1, 239--252 (2021; Zbl 1479.33011) Full Text: DOI OpenURL
Chen, Xiaojing; Chu, Wenchang Full \(q\)-analogue for an identity of \(\lambda\)-extended Catalan numbers. (English) Zbl 1469.05014 Bull. Braz. Math. Soc. (N.S.) 52, No. 3, 461-465 (2021). MSC: 05A19 05A30 PDF BibTeX XML Cite \textit{X. Chen} and \textit{W. Chu}, Bull. Braz. Math. Soc. (N.S.) 52, No. 3, 461--465 (2021; Zbl 1469.05014) Full Text: DOI OpenURL
Dreyfus, Thomas; Hardouin, Charlotte; Roques, Julien Functional relations for solutions of \(q\)-difference equations. (English) Zbl 1476.39007 Math. Z. 298, No. 3-4, 1751-1791 (2021). MSC: 39A13 12H10 12H05 33D15 PDF BibTeX XML Cite \textit{T. Dreyfus} et al., Math. Z. 298, No. 3--4, 1751--1791 (2021; Zbl 1476.39007) Full Text: DOI arXiv OpenURL
Mc Laughlin, James New infinite \(q\)-product expansions with vanishing coefficients. (English) Zbl 07369454 Ramanujan J. 55, No. 2, 733-760 (2021). MSC: 11B65 33D15 05A19 PDF BibTeX XML Cite \textit{J. Mc Laughlin}, Ramanujan J. 55, No. 2, 733--760 (2021; Zbl 07369454) Full Text: DOI OpenURL
Wei, Chuanan A further \(q\)-analogue of Van Hamme’s (H.2) supercongruence for any prime \(p\equiv 1\pmod{4}\). (English) Zbl 1470.33015 Result. Math. 76, No. 2, Paper No. 92, 9 p. (2021). Reviewer: Thomas Ernst (Uppsala) MSC: 33D15 11A07 11B65 PDF BibTeX XML Cite \textit{C. Wei}, Result. Math. 76, No. 2, Paper No. 92, 9 p. (2021; Zbl 1470.33015) Full Text: DOI arXiv OpenURL
Guo, Song; Guo, Victor J. W. Curious \(q\)-analogues of two supercongruences modulo the third power of a prime. (English) Zbl 1476.11034 Result. Math. 76, No. 1, Paper No. 37, 10 p. (2021). MSC: 11B65 11A07 33D15 33C20 05A30 PDF BibTeX XML Cite \textit{S. Guo} and \textit{V. J. W. Guo}, Result. Math. 76, No. 1, Paper No. 37, 10 p. (2021; Zbl 1476.11034) Full Text: DOI OpenURL
Wei, Chuanan Some \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial. (English) Zbl 1468.11009 J. Comb. Theory, Ser. A 182, Article ID 105469, 15 p. (2021). MSC: 11A07 33D15 PDF BibTeX XML Cite \textit{C. Wei}, J. Comb. Theory, Ser. A 182, Article ID 105469, 15 p. (2021; Zbl 1468.11009) Full Text: DOI arXiv OpenURL
Sahi, Siddhartha; Stokman, Jasper V.; Venkateswaran, Vidya Metaplectic representations of Hecke algebras, Weyl group actions, and associated polynomials. (English) Zbl 07365289 Sel. Math., New Ser. 27, No. 3, Paper No. 47, 42 p. (2021). MSC: 20C05 22E50 33D80 PDF BibTeX XML Cite \textit{S. Sahi} et al., Sel. Math., New Ser. 27, No. 3, Paper No. 47, 42 p. (2021; Zbl 07365289) Full Text: DOI arXiv OpenURL
Boruah, Chayanika; Saikia, Nipen New theta function identities for a continued fraction of Ramanujan and their applications. (English) Zbl 07363580 Afr. Mat. 32, No. 1-2, 241-251 (2021). MSC: 11F27 33D90 PDF BibTeX XML Cite \textit{C. Boruah} and \textit{N. Saikia}, Afr. Mat. 32, No. 1--2, 241--251 (2021; Zbl 07363580) Full Text: DOI OpenURL
Guo, Victor J. W. A further \(q\)-analogue of Van Hamme’s (H.2) supercongruence for primes \(p\equiv 3 \pmod 4\). (English) Zbl 1478.33009 Int. J. Number Theory 17, No. 5, 1201-1206 (2021). MSC: 33D15 11A07 11B65 PDF BibTeX XML Cite \textit{V. J. W. Guo}, Int. J. Number Theory 17, No. 5, 1201--1206 (2021; Zbl 1478.33009) Full Text: DOI OpenURL
Liu, Yudong; Wang, Xiaoxia \(q\)-analogues of two Ramanujan-type supercongruences. (English) Zbl 1466.05009 J. Math. Anal. Appl. 502, No. 1, Article ID 125238, 14 p. (2021). MSC: 05A30 11A07 33D45 33D15 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{X. Wang}, J. Math. Anal. Appl. 502, No. 1, Article ID 125238, 14 p. (2021; Zbl 1466.05009) Full Text: DOI OpenURL
Guo, Victor J. W.; Lian, Xiuguo Some \(q\)-congruences on double basic hypergeometric sums. (English) Zbl 1472.11014 J. Difference Equ. Appl. 27, No. 3, 453-461 (2021). MSC: 11A07 11B65 33D15 PDF BibTeX XML Cite \textit{V. J. W. Guo} and \textit{X. Lian}, J. Difference Equ. Appl. 27, No. 3, 453--461 (2021; Zbl 1472.11014) Full Text: DOI OpenURL
Wei, Chuanan; Gong, Dianxuan Several transformation formulas for basic hypergeometric series. (English) Zbl 1465.33013 J. Difference Equ. Appl. 27, No. 2, 157-171 (2021). MSC: 33D15 05A19 PDF BibTeX XML Cite \textit{C. Wei} and \textit{D. Gong}, J. Difference Equ. Appl. 27, No. 2, 157--171 (2021; Zbl 1465.33013) Full Text: DOI arXiv OpenURL
Li, Long Some \(q\)-supercongruences for truncated forms of squares of basic hypergeometric series. (English) Zbl 1472.11020 J. Difference Equ. Appl. 27, No. 1, 16-25 (2021). MSC: 11A07 11B65 33D15 PDF BibTeX XML Cite \textit{L. Li}, J. Difference Equ. Appl. 27, No. 1, 16--25 (2021; Zbl 1472.11020) Full Text: DOI OpenURL
Kim, Byungchan; Kim, Eunmi; Lovejoy, Jeremy On weighted overpartitions related to some \(q\)-series in Ramanujan’s lost notebook. (English) Zbl 1470.11262 Int. J. Number Theory 17, No. 3, 603-619 (2021). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P81 33D15 PDF BibTeX XML Cite \textit{B. Kim} et al., Int. J. Number Theory 17, No. 3, 603--619 (2021; Zbl 1470.11262) Full Text: DOI OpenURL
Ablinger, Jakob; Uncu, Ali Kemal qFunctions – a Mathematica package for \(q\)-series and partition theory applications. (English) Zbl 1465.05001 J. Symb. Comput. 107, 145-166 (2021). MSC: 05-04 05A30 05A15 05A17 05A19 11P81 33D15 PDF BibTeX XML Cite \textit{J. Ablinger} and \textit{A. K. Uncu}, J. Symb. Comput. 107, 145--166 (2021; Zbl 1465.05001) Full Text: DOI arXiv OpenURL
Patkowski, Alexander E. A general double sum identity, mock theta functions, and Bailey pairs. (English) Zbl 1468.33018 Acta Arith. 198, No. 4, 377-385 (2021). MSC: 33D15 11F37 PDF BibTeX XML Cite \textit{A. E. Patkowski}, Acta Arith. 198, No. 4, 377--385 (2021; Zbl 1468.33018) Full Text: DOI arXiv OpenURL
Zhang, Wenlong; Shi, Ji Terminating \(q\)-Whipple summation theorem with two integer parameters. (English) Zbl 1467.33015 Ramanujan J. 54, No. 1, 137-146 (2021). MSC: 33D15 05A30 PDF BibTeX XML Cite \textit{W. Zhang} and \textit{J. Shi}, Ramanujan J. 54, No. 1, 137--146 (2021; Zbl 1467.33015) Full Text: DOI OpenURL
Chen, Xiaojing; Chu, Wenchang Hidden \(q\)-analogues of Ramanujan-like \(\pi\)-series. (English) Zbl 1476.33011 Ramanujan J. 54, No. 3, 625-648 (2021). Reviewer: István Mező (Nanjing) MSC: 33D15 33C20 PDF BibTeX XML Cite \textit{X. Chen} and \textit{W. Chu}, Ramanujan J. 54, No. 3, 625--648 (2021; Zbl 1476.33011) Full Text: DOI OpenURL
Dou, Donna Q. J.; Xiao, Jiejuan The 5-dissections of two infinite product expansions. (English) Zbl 1466.33012 Ramanujan J. 54, No. 3, 475-484 (2021). MSC: 33D15 11F33 PDF BibTeX XML Cite \textit{D. Q. J. Dou} and \textit{J. Xiao}, Ramanujan J. 54, No. 3, 475--484 (2021; Zbl 1466.33012) Full Text: DOI OpenURL
Terwilliger, Paul Double lowering operators on polynomials. (English) Zbl 1467.33014 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 009, 38 p. (2021). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 33D15 15A21 PDF BibTeX XML Cite \textit{P. Terwilliger}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 009, 38 p. (2021; Zbl 1467.33014) Full Text: DOI arXiv OpenURL
Rawat, Pramod Kumar On generalized third order mock theta functions. (English) Zbl 1465.33011 Palest. J. Math. 10, No. 1, 322-331 (2021). MSC: 33D15 11F27 33D05 PDF BibTeX XML Cite \textit{P. K. Rawat}, Palest. J. Math. 10, No. 1, 322--331 (2021; Zbl 1465.33011) Full Text: Link OpenURL
Wang, Xiaoxia; Yue, Mingbing A \(q\)-analogue of a Dwork-type supercongruence. (English) Zbl 1476.11007 Bull. Aust. Math. Soc. 103, No. 2, 303-310 (2021). Reviewer: Zhi-Wei Sun (Nanjing) MSC: 11A07 33D15 05A30 PDF BibTeX XML Cite \textit{X. Wang} and \textit{M. Yue}, Bull. Aust. Math. Soc. 103, No. 2, 303--310 (2021; Zbl 1476.11007) Full Text: DOI OpenURL
Bowman, Douglas; Wesley, Sarah General fine transformations. I. (English) Zbl 1466.11069 Int. J. Number Theory 17, No. 2, 267-283 (2021). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P81 33D15 05A17 PDF BibTeX XML Cite \textit{D. Bowman} and \textit{S. Wesley}, Int. J. Number Theory 17, No. 2, 267--283 (2021; Zbl 1466.11069) Full Text: DOI OpenURL
Chen, Xiaojing; Chu, Wenchang \(q\)-analogues of Guillera’s two series for \(\pi^{\pm 2}\) with convergence rate \(\frac{27}{64}\). (English) Zbl 1479.33010 Int. J. Number Theory 17, No. 1, 71-90 (2021). MSC: 33D15 05A30 11B65 33D05 PDF BibTeX XML Cite \textit{X. Chen} and \textit{W. Chu}, Int. J. Number Theory 17, No. 1, 71--90 (2021; Zbl 1479.33010) Full Text: DOI OpenURL
Guo, Victor J. W.; Schlosser, Michael J. Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series. (English) Zbl 1462.33006 Constr. Approx. 53, No. 1, 155-200 (2021). Reviewer: Enzo Bonacci (Latina) MSC: 33D15 05A10 05A30 11A07 11F33 33D45 PDF BibTeX XML Cite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Constr. Approx. 53, No. 1, 155--200 (2021; Zbl 1462.33006) Full Text: DOI arXiv OpenURL
Srivastava, H. M.; Kumar, B. R. Srivatsa; Narendra, R. Some modular equations analogous to Ramanujan’s identities. (English) Zbl 1454.11078 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 59, 12 p. (2021). MSC: 11F27 33D15 PDF BibTeX XML Cite \textit{H. M. Srivastava} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 59, 12 p. (2021; Zbl 1454.11078) Full Text: DOI OpenURL
He, Bing Proof for a \(\Pi_q\)-identity of Gosper. (English) Zbl 1465.11098 Adv. Appl. Math. 123, Article ID 102120, 10 p. (2021). Reviewer: Ahmet Tekcan (Bursa) MSC: 11F11 11F03 33D15 PDF BibTeX XML Cite \textit{B. He}, Adv. Appl. Math. 123, Article ID 102120, 10 p. (2021; Zbl 1465.11098) Full Text: DOI OpenURL
El Bachraoui, Mohamed Sums of partial theta functions through an extended Bailey transform. (English) Zbl 1456.05017 Bull. Aust. Math. Soc. 103, No. 1, 1-10 (2021). MSC: 05A30 11P84 33D15 PDF BibTeX XML Cite \textit{M. El Bachraoui}, Bull. Aust. Math. Soc. 103, No. 1, 1--10 (2021; Zbl 1456.05017) Full Text: DOI OpenURL
Guo, Victor J. W. Proof of a generalization of the (C.2) supercongruence of Van Hamme. (English) Zbl 1468.33017 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 45, 13 p. (2021). MSC: 33D15 11A07 11B65 PDF BibTeX XML Cite \textit{V. J. W. Guo}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 45, 13 p. (2021; Zbl 1468.33017) Full Text: DOI OpenURL
Wang, Xiaoxia; Yu, Menglin Some new \(q\)-congruences on double sums. (English) Zbl 1451.33008 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 9, 9 p. (2021). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 33D15 11A07 11B65 PDF BibTeX XML Cite \textit{X. Wang} and \textit{M. Yu}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 9, 9 p. (2021; Zbl 1451.33008) Full Text: DOI OpenURL
Zhang, Zhizheng; Gu, Jing; Song, Hanfei A new transformation formula involving derived WP-Bailey pair and its applications. (English) Zbl 07541517 Filomat 34, No. 13, 4245-4252 (2020). MSC: 33D15 11B65 11F27 11F20 33F05 PDF BibTeX XML Cite \textit{Z. Zhang} et al., Filomat 34, No. 13, 4245--4252 (2020; Zbl 07541517) Full Text: DOI OpenURL
Zürnacı, Fatma; Goldman, Ron; Simeonov, Plamen Relationships between identities for quantum Bernstein bases and formulas for hypergeometric series. (English) Zbl 07540877 Filomat 34, No. 8, 2485-2494 (2020). MSC: 65D17 33C05 33D15 PDF BibTeX XML Cite \textit{F. Zürnacı} et al., Filomat 34, No. 8, 2485--2494 (2020; Zbl 07540877) Full Text: DOI OpenURL
Dharmendra, B. N.; Mahesh Kumar, M. C. Some modular relations between Ramanujan’s function \(\nu(q)\) and \(\nu(q^n)\). (English) Zbl 07539924 Proc. Jangjeon Math. Soc. 23, No. 3, 345-359 (2020). MSC: 33D20 11F55 11S23 PDF BibTeX XML Cite \textit{B. N. Dharmendra} and \textit{M. C. Mahesh Kumar}, Proc. Jangjeon Math. Soc. 23, No. 3, 345--359 (2020; Zbl 07539924) Full Text: DOI OpenURL
Srivastava, Hari Mohan; Arjika, Sama Generating functions for some families of the generalized Al-Salam-Carlitz \(q\)-polynomials. (English) Zbl 1486.33022 Adv. Difference Equ. 2020, Paper No. 498, 16 p. (2020). MSC: 33D15 33D05 33D45 05A30 11B65 PDF BibTeX XML Cite \textit{H. M. Srivastava} and \textit{S. Arjika}, Adv. Difference Equ. 2020, Paper No. 498, 16 p. (2020; Zbl 1486.33022) Full Text: DOI OpenURL
Chu, Wenchang; Kılıç, Emrah \(q\)-binomial formulae of Dixon’s type and the fibonomial sums. (English) Zbl 07472184 Appl. Anal. Discrete Math. 14, No. 2, 335-348 (2020). MSC: 11B39 05A30 PDF BibTeX XML Cite \textit{W. Chu} and \textit{E. Kılıç}, Appl. Anal. Discrete Math. 14, No. 2, 335--348 (2020; Zbl 07472184) Full Text: DOI OpenURL
Mishra, Lakshmi Narayan; Yadav, Ravindra Kumar; Deepmala A note on ordinary hypergeometric series and Bailey’s transform. (English) Zbl 07458924 J. Fract. Calc. Appl. 11, No. 1, 182-187 (2020). MSC: 33D15 33D10 33E05 PDF BibTeX XML Cite \textit{L. N. Mishra} et al., J. Fract. Calc. Appl. 11, No. 1, 182--187 (2020; Zbl 07458924) Full Text: Link OpenURL
Wang, Zue-Fang; Cao, Jian Note on generalizations of a symmetric \(q\)-series identity. (English) Zbl 07458917 J. Fract. Calc. Appl. 11, No. 1, 112-120 (2020). MSC: 05A30 05A19 11B65 33D15 33D45 33D60 39A13 39B32 PDF BibTeX XML Cite \textit{Z.-F. Wang} and \textit{J. Cao}, J. Fract. Calc. Appl. 11, No. 1, 112--120 (2020; Zbl 07458917) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{G. S. Pant} and \textit{K. B. Chand}, J. Ramanujan Soc. Math. Math. Sci. 8, No. 1, 69--78 (2020; Zbl 1487.33013) Full Text: Link OpenURL
Salahuddin; Vinti Some definite integral associated to error function and hypergeometric function. (English) Zbl 1487.33001 J. Ramanujan Soc. Math. Math. Sci. 8, No. 1, 31-36 (2020). Reviewer: Thomas Ernst (Uppsala) MSC: 33B20 33C05 33C10 33C20 33D15 PDF BibTeX XML Cite \textit{Salahuddin} and \textit{Vinti}, J. Ramanujan Soc. Math. Math. Sci. 8, No. 1, 31--36 (2020; Zbl 1487.33001) Full Text: Link OpenURL
Shekhar, Himanshu A note on Ramanujan’s general theta function. (English) Zbl 07400769 South East Asian J. Math. Math. Sci. 16, No. 3, 113-118 (2020). MSC: 33D15 05A17 05A30 11F27 11P82 PDF BibTeX XML Cite \textit{H. Shekhar}, South East Asian J. Math. Math. Sci. 16, No. 3, 113--118 (2020; Zbl 07400769) Full Text: Link OpenURL
Feng, Tai-Fu; Chang, Chao-Hsi; Chen, Jian-Bin; Zhang, Hai-Bin GKZ-hypergeometric systems for Feynman integrals. (English) Zbl 1473.81066 Nucl. Phys., B 953, Article ID 114952, 25 p. (2020). MSC: 81Q30 81T18 35C10 33D60 PDF BibTeX XML Cite \textit{T.-F. Feng} et al., Nucl. Phys., B 953, Article ID 114952, 25 p. (2020; Zbl 1473.81066) Full Text: DOI arXiv OpenURL
Zudilin, Wadim \((q)\)-supercongruences hit again. (English) Zbl 1472.11029 Hardy-Ramanujan J. 43, 46-55 (2020). MSC: 11A07 11B65 11F33 33C20 33D15 PDF BibTeX XML Cite \textit{W. Zudilin}, Hardy-Ramanujan J. 43, 46--55 (2020; Zbl 1472.11029) Full Text: arXiv Link OpenURL
Bouzeffour, Fethi; Garayev, Mubariz Multiple big \(q\)-Jacobi polynomials. (English) Zbl 1471.33009 Bull. Math. Sci. 10, No. 2, Article ID 2050013, 18 p. (2020). MSC: 33D45 33D60 PDF BibTeX XML Cite \textit{F. Bouzeffour} and \textit{M. Garayev}, Bull. Math. Sci. 10, No. 2, Article ID 2050013, 18 p. (2020; Zbl 1471.33009) Full Text: DOI OpenURL
Tang, Dazhao; Xia, Ernest. X. W. Several \(q\)-series related to Ramanujan’s theta functions. (English) Zbl 1467.33013 Ramanujan J. 53, No. 3, 705-724 (2020). MSC: 33D15 11F33 30B10 PDF BibTeX XML Cite \textit{D. Tang} and \textit{Ernest. X. W. Xia}, Ramanujan J. 53, No. 3, 705--724 (2020; Zbl 1467.33013) Full Text: DOI arXiv OpenURL
Baruah, Nayandeep Deka; Kaur, Mandeep Some results on vanishing coefficients in infinite product expansions. (English) Zbl 1476.33010 Ramanujan J. 53, No. 3, 551-568 (2020). MSC: 33D15 11F30 PDF BibTeX XML Cite \textit{N. D. Baruah} and \textit{M. Kaur}, Ramanujan J. 53, No. 3, 551--568 (2020; Zbl 1476.33010) Full Text: DOI arXiv OpenURL