Cao, Jian; Guo, Victor J. W.; Yu, Xiao Factors of certain basic hypergeometric sums. (English) Zbl 07823296 Ramanujan J. 63, No. 4, 995-1005 (2024). MSC: 33D15 11A07 11B65 PDFBibTeX XMLCite \textit{J. Cao} et al., Ramanujan J. 63, No. 4, 995--1005 (2024; Zbl 07823296) Full Text: DOI
Güloğlu, Ahmet M.; Yesilyurt, Hamza Modular equations of degrees 13, 29, and 61. (English) Zbl 07823293 Ramanujan J. 63, No. 4, 931-945 (2024). MSC: 11F27 11F11 33D15 PDFBibTeX XMLCite \textit{A. M. Güloğlu} and \textit{H. Yesilyurt}, Ramanujan J. 63, No. 4, 931--945 (2024; Zbl 07823293) Full Text: DOI
Otsubo, Noriyuki Hypergeometric functions over finite fields. (English) Zbl 07791002 Ramanujan J. 63, No. 1, 55-104 (2024). MSC: 11T24 11L05 33C05 33C20 PDFBibTeX XMLCite \textit{N. Otsubo}, Ramanujan J. 63, No. 1, 55--104 (2024; Zbl 07791002) Full Text: DOI arXiv
Rathie, Arjun Kumar; Lim, Dongkyu; Paris, Richard B. A note on certain summations due to Ramanujan with application and generalization. (English) Zbl 07743416 Ramanujan J. 62, No. 2, 583-592 (2023). MSC: 33C20 33C15 40A05 PDFBibTeX XMLCite \textit{A. K. Rathie} et al., Ramanujan J. 62, No. 2, 583--592 (2023; Zbl 07743416) Full Text: DOI
Varchenko, Alexander On the number of \(p\)-hypergeometric solutions of KZ equations. (English) Zbl 1523.32025 Ramanujan J. 62, No. 1, 307-327 (2023). Reviewer: Dmitry Artamonov (Moskva) MSC: 32G34 33C60 33E50 PDFBibTeX XMLCite \textit{A. Varchenko}, Ramanujan J. 62, No. 1, 307--327 (2023; Zbl 1523.32025) Full Text: DOI arXiv
Wang, Liuquan New proofs of some double sum Rogers-Ramanujan type identities. (English) Zbl 07739356 Ramanujan J. 62, No. 1, 251-272 (2023). MSC: 11P84 33D15 11B65 PDFBibTeX XMLCite \textit{L. Wang}, Ramanujan J. 62, No. 1, 251--272 (2023; Zbl 07739356) Full Text: DOI arXiv
Alıcı, H. Explicit general solution of the squared secant potential and some consequences. (English) Zbl 1525.34002 Ramanujan J. 62, No. 1, 111-140 (2023). MSC: 34A05 34L40 33C05 33C10 33C45 PDFBibTeX XMLCite \textit{H. Alıcı}, Ramanujan J. 62, No. 1, 111--140 (2023; Zbl 1525.34002) Full Text: DOI
Saikia, Neelam Zeros of hypergeometric functions in the \(p\)-adic setting. (English) Zbl 07720235 Ramanujan J. 61, No. 4, 1339-1355 (2023). MSC: 33E50 33C20 11S80 11T24 PDFBibTeX XMLCite \textit{N. Saikia}, Ramanujan J. 61, No. 4, 1339--1355 (2023; Zbl 07720235) Full Text: DOI arXiv
Vasuki, K. R.; Yathirajsharma, M. V. Crossed out modular equations of degree 11 of Ramanujan. (English) Zbl 1523.11072 Ramanujan J. 61, No. 4, 1145-1150 (2023). MSC: 11F20 33C75 PDFBibTeX XMLCite \textit{K. R. Vasuki} and \textit{M. V. Yathirajsharma}, Ramanujan J. 61, No. 4, 1145--1150 (2023; Zbl 1523.11072) Full Text: DOI
Allen, Michael On some hypergeometric supercongruence conjectures of Long. (English) Zbl 07713340 Ramanujan J. 61, No. 3, 957-987 (2023). Reviewer: Vijay Yadav (Virar) MSC: 33C20 33E50 11A07 11F33 14J32 14J30 PDFBibTeX XMLCite \textit{M. Allen}, Ramanujan J. 61, No. 3, 957--987 (2023; Zbl 07713340) Full Text: DOI arXiv
Gessel, Ira M.; Zeng, Jiang Moments of orthogonal polynomials and exponential generating functions. (English) Zbl 07695123 Ramanujan J. 61, No. 2, 675-700 (2023). MSC: 33D45 33C45 05A15 05A19 05A30 11B75 11B83 PDFBibTeX XMLCite \textit{I. M. Gessel} and \textit{J. Zeng}, Ramanujan J. 61, No. 2, 675--700 (2023; Zbl 07695123) Full Text: DOI arXiv
Cohl, Howard S.; Costas-Santos, Roberto S. Utility of integral representations for basic hypergeometric functions and orthogonal polynomials. (English) Zbl 07695122 Ramanujan J. 61, No. 2, 649-674 (2023). MSC: 33D45 33D15 33D60 PDFBibTeX XMLCite \textit{H. S. Cohl} and \textit{R. S. Costas-Santos}, Ramanujan J. 61, No. 2, 649--674 (2023; Zbl 07695122) Full Text: DOI arXiv
Arvesú, J.; Driver, K.; Littlejohn, L. L. Zeros of Jacobi and ultraspherical polynomials. (English) Zbl 07695121 Ramanujan J. 61, No. 2, 629-648 (2023). MSC: 33C45 42C05 26C10 12D10 PDFBibTeX XMLCite \textit{J. Arvesú} et al., Ramanujan J. 61, No. 2, 629--648 (2023; Zbl 07695121) Full Text: DOI arXiv
Krattenthaler, C. Hankel determinants of linear combinations of moments of orthogonal polynomials. II. (English) Zbl 07695120 Ramanujan J. 61, No. 2, 597-627 (2023). Reviewer: Francisco Marcellán (Leganes) MSC: 33C45 42C05 15B05 15A15 15B52 11C20 11M50 05A15 05A40 PDFBibTeX XMLCite \textit{C. Krattenthaler}, Ramanujan J. 61, No. 2, 597--627 (2023; Zbl 07695120) Full Text: DOI arXiv
Diaconis, Persi; Zhong, Chenyang Hahn polynomials and the Burnside process. (English) Zbl 07695119 Ramanujan J. 61, No. 2, 567-595 (2023). MSC: 33C45 33D45 60J10 PDFBibTeX XMLCite \textit{P. Diaconis} and \textit{C. Zhong}, Ramanujan J. 61, No. 2, 567--595 (2023; Zbl 07695119) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{F. G. Garvan}, Ramanujan J. 61, No. 2, 545--566 (2023; Zbl 1525.11120) Full Text: DOI arXiv
Groenevelt, Wolter; Koelink, Erik Orthogonal functions related to Lax pairs in Lie algebras. (English) Zbl 07695114 Ramanujan J. 61, No. 2, 445-474 (2023). MSC: 33C80 33C45 17B80 37J37 37J38 PDFBibTeX XMLCite \textit{W. Groenevelt} and \textit{E. Koelink}, Ramanujan J. 61, No. 2, 445--474 (2023; Zbl 07695114) 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 07695112 Ramanujan J. 61, No. 2, 415-423 (2023). MSC: 33C05 33C20 33C90 33D15 33E20 91G99 PDFBibTeX XMLCite \textit{G. Gasper}, Ramanujan J. 61, No. 2, 415--423 (2023; Zbl 07695112) Full Text: DOI
Kalmykov, S. I.; Karp, D.; Kuznetsov, A. A new identity for the sum of products of the generalized basic hypergeometric functions. (English) Zbl 07695111 Ramanujan J. 61, No. 2, 391-414 (2023). Reviewer: Vijay Yadav (Virar) MSC: 33D15 05A30 PDFBibTeX XMLCite \textit{S. I. Kalmykov} et al., Ramanujan J. 61, No. 2, 391--414 (2023; Zbl 07695111) Full Text: DOI arXiv
Kim, Jang Soo; Stanton, Dennis Combinatorics of orthogonal polynomials of type \(R_I\). (English) Zbl 07695110 Ramanujan J. 61, No. 2, 329-390 (2023). MSC: 33C45 05A15 05A10 05A19 PDFBibTeX XMLCite \textit{J. S. Kim} and \textit{D. Stanton}, Ramanujan J. 61, No. 2, 329--390 (2023; Zbl 07695110) 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 PDFBibTeX XMLCite \textit{H. Rosengren}, Ramanujan J. 61, No. 1, 295--317 (2023; Zbl 1523.11189) Full Text: DOI arXiv
Liu, Zhi-Guo The Kronecker theta function and a decomposition theorem for theta functions. I. (English) Zbl 07690254 Ramanujan J. 61, No. 1, 149-173 (2023). Reviewer: Dazhao Tang (Chongqing) MSC: 11F27 33D15 11F37 PDFBibTeX XMLCite \textit{Z.-G. Liu}, Ramanujan J. 61, No. 1, 149--173 (2023; Zbl 07690254) Full Text: DOI arXiv
Forrester, Peter J.; Kumar, Santosh Computable structural formulas for the distribution of the \(\beta\)-Jacobi edge eigenvalues. (English) Zbl 1525.15028 Ramanujan J. 61, No. 1, 87-110 (2023). Reviewer: Carlos Gabriel Pacheco (Ciudad de México) MSC: 15B52 60B20 15A18 33C45 11B37 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{S. Kumar}, Ramanujan J. 61, No. 1, 87--110 (2023; Zbl 1525.15028) Full Text: DOI arXiv
Dougherty-Bliss, Robert; Zeilberger, Doron Automatic conjecturing and proving of exact values of some infinite families of infinite continued fractions. (English) Zbl 1521.11006 Ramanujan J. 61, No. 1, 31-47 (2023). Reviewer: Andreas Maletti (Leipzig) MSC: 11A55 11Y65 33C15 68W30 PDFBibTeX XMLCite \textit{R. Dougherty-Bliss} and \textit{D. Zeilberger}, Ramanujan J. 61, No. 1, 31--47 (2023; Zbl 1521.11006) Full Text: DOI arXiv
Yang, Dunkun An expansion of \((q, \lambda)\)-derivative operator. (English) Zbl 1511.05022 Ramanujan J. 60, No. 4, 1127-1149 (2023). MSC: 05A30 33D15 11B65 39A13 PDFBibTeX XMLCite \textit{D. Yang}, Ramanujan J. 60, No. 4, 1127--1149 (2023; Zbl 1511.05022) Full Text: DOI
Saadi, Faouaz; Daher, Radouan Absolutely convergent \(q\)-Dunkl integrals and classical function spaces. (English) Zbl 1512.33016 Ramanujan J. 60, No. 4, 1107-1126 (2023). MSC: 33D15 39A12 42A38 PDFBibTeX XMLCite \textit{F. Saadi} and \textit{R. Daher}, Ramanujan J. 60, No. 4, 1107--1126 (2023; Zbl 1512.33016) Full Text: DOI
Cao, Jian; Zhou, Hong-Li; Arjika, Sama Generalized \(q\)-difference equations for \((q, c)\)-hypergeometric polynomials and some applications. (English) Zbl 1511.05019 Ramanujan J. 60, No. 4, 1033-1067 (2023). Reviewer: Uğur Duran (Iskenderun) MSC: 05A30 33D15 33D45 05A40 11B65 PDFBibTeX XMLCite \textit{J. Cao} et al., Ramanujan J. 60, No. 4, 1033--1067 (2023; Zbl 1511.05019) Full Text: DOI
Rebák, Örs The three missing terms in Ramanujan’s septic theta function identity. (English) Zbl 1509.11031 Ramanujan J. 60, No. 4, 885-911 (2023). MSC: 11F27 33C05 05A30 11F32 11R29 PDFBibTeX XMLCite \textit{Ö. Rebák}, Ramanujan J. 60, No. 4, 885--911 (2023; Zbl 1509.11031) Full Text: DOI arXiv
Guo, Victor J. W. Some \(q\)-supercongruences from Gasper’s Karlsson-Minton type summation. (English) Zbl 1523.11003 Ramanujan J. 60, No. 3, 825-835 (2023). MSC: 11A07 11B65 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Ramanujan J. 60, No. 3, 825--835 (2023; Zbl 1523.11003) 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 PDFBibTeX XMLCite \textit{L. H. Sun}, Ramanujan J. 60, No. 3, 761--794 (2023; Zbl 1511.05016) 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 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Ramanujan J. 60, No. 3, 627--657 (2023; Zbl 1509.05033) 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 PDFBibTeX XMLCite \textit{C. Wei}, Ramanujan J. 60, No. 3, 615--625 (2023; Zbl 07663052) Full Text: DOI
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 PDFBibTeX XMLCite \textit{D. D. Somashekara} and \textit{M. B. Thulasi}, Ramanujan J. 60, No. 2, 355--369 (2023; Zbl 1515.11046) Full Text: DOI
Chu, Wenchang; Campbell, John M. Expansions over Legendre polynomials and infinite double series identities. (English) Zbl 07659055 Ramanujan J. 60, No. 2, 317-353 (2023). MSC: 33C05 33C45 33C20 42C10 41A60 42C05 11B65 PDFBibTeX XMLCite \textit{W. Chu} and \textit{J. M. Campbell}, Ramanujan J. 60, No. 2, 317--353 (2023; Zbl 07659055) Full Text: DOI
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 PDFBibTeX XMLCite \textit{P. J. Forrester} et al., Ramanujan J. 60, No. 1, 195--235 (2023; Zbl 1528.33023) Full Text: DOI arXiv
Kewat, Pramod Kumar; Kumar, Ram Some supercongruences related to truncated hypergeometric series. (English) Zbl 1509.11006 Ramanujan J. 60, No. 1, 157-173 (2023). MSC: 11A07 11B65 11S80 33D15 PDFBibTeX XMLCite \textit{P. K. Kewat} and \textit{R. Kumar}, Ramanujan J. 60, No. 1, 157--173 (2023; Zbl 1509.11006) Full Text: DOI
Wang, Liuquan; Yang, Yifan Ramanujan-type \(1/\pi\)-series from bimodular forms. (English) Zbl 1499.11181 Ramanujan J. 59, No. 3, 831-882 (2022). MSC: 11F03 11F11 11Y60 33C05 33C45 PDFBibTeX XMLCite \textit{L. Wang} and \textit{Y. Yang}, Ramanujan J. 59, No. 3, 831--882 (2022; Zbl 1499.11181) Full Text: DOI arXiv
Liu, Yudong; Wang, Xiaoxia Further \(q\)-analogues of the (G.2) supercongruence of Van Hamme. (English) Zbl 1522.11003 Ramanujan J. 59, No. 3, 791-802 (2022). MSC: 11A07 11B65 11C08 33D15 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{X. Wang}, Ramanujan J. 59, No. 3, 791--802 (2022; Zbl 1522.11003) Full Text: DOI arXiv
Milla, Lorenz Asymptotic expansions for the truncation error in Ramanujan-type series. (English) Zbl 1522.33013 Ramanujan J. 59, No. 3, 729-744 (2022). MSC: 33F10 26D15 33B15 33C20 PDFBibTeX XMLCite \textit{L. Milla}, Ramanujan J. 59, No. 3, 729--744 (2022; Zbl 1522.33013) Full Text: DOI arXiv
Cantarini, Marco A note on Clebsch-Gordan integral, Fourier-Legendre expansions and closed form for hypergeometric series. (English) Zbl 1520.33003 Ramanujan J. 59, No. 2, 549-557 (2022). MSC: 33C20 33C75 33E05 42C10 PDFBibTeX XMLCite \textit{M. Cantarini}, Ramanujan J. 59, No. 2, 549--557 (2022; Zbl 1520.33003) Full Text: DOI arXiv
Alam, Md. Shafiul; Sugawa, Toshiyuki Geometric deduction of the solutions to modular equations. (English) Zbl 1502.30123 Ramanujan J. 59, No. 2, 459-477 (2022). MSC: 30F35 33C05 PDFBibTeX XMLCite \textit{Md. S. Alam} and \textit{T. Sugawa}, Ramanujan J. 59, No. 2, 459--477 (2022; Zbl 1502.30123) Full Text: DOI arXiv
Wang, Chenying; Xu, Jianan Three cubic \(q\)-series of Gasper and Rahman. (English) Zbl 1519.33011 Ramanujan J. 59, No. 1, 199-210 (2022). MSC: 33D15 40G10 PDFBibTeX XMLCite \textit{C. Wang} and \textit{J. Xu}, Ramanujan J. 59, No. 1, 199--210 (2022; Zbl 1519.33011) Full Text: DOI
Guo, Victor J. W. Some \(q\)-analogues of supercongruences for truncated \({}_3 F_2\) hypergeometric series. (English) Zbl 1520.11004 Ramanujan J. 59, No. 1, 131-142 (2022). Reviewer: Guo-Shuai Mao (Nanjing) MSC: 11A07 11B65 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Ramanujan J. 59, No. 1, 131--142 (2022; Zbl 1520.11004) Full Text: DOI
Castillo, K.; Mbouna, D.; Petronilho, J. Remarks on Askey-Wilson polynomials and Meixner polynomials of the second kind. (English) Zbl 1522.42055 Ramanujan J. 58, No. 4, 1159-1170 (2022). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{K. Castillo} et al., Ramanujan J. 58, No. 4, 1159--1170 (2022; Zbl 1522.42055) Full Text: DOI arXiv
Song, Hanfei; Wang, Chun Hecke-type triple sums associated with mock theta functions. (English) Zbl 1502.33008 Ramanujan J. 58, No. 4, 1095-1112 (2022). Reviewer: Neha Malik (New Delhi) MSC: 33D15 11F27 PDFBibTeX XMLCite \textit{H. Song} and \textit{C. Wang}, Ramanujan J. 58, No. 4, 1095--1112 (2022; Zbl 1502.33008) Full Text: DOI
Mehrez, Khaled Integral representation and computational properties of the incomplete Fox-Wright function. (English) Zbl 1514.33007 Ramanujan J. 58, No. 2, 369-387 (2022). MSC: 33C20 26D07 26A42 33E20 44A10 PDFBibTeX XMLCite \textit{K. Mehrez}, Ramanujan J. 58, No. 2, 369--387 (2022; Zbl 1514.33007) Full Text: DOI
Zhang, Ying; Zhang, Wenlong Hecke-Rogers type series representations for infinite products. (English) Zbl 1516.33014 Ramanujan J. 58, No. 3, 889-903 (2022). MSC: 33D15 05A30 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{W. Zhang}, Ramanujan J. 58, No. 3, 889--903 (2022; Zbl 1516.33014) Full Text: DOI
Garnowski, Taylor Asymptotics for Bailey-type mock theta functions. (English) Zbl 1515.11042 Ramanujan J. 58, No. 3, 835-869 (2022). MSC: 11F27 33D15 11M45 11P55 11P82 PDFBibTeX XMLCite \textit{T. Garnowski}, Ramanujan J. 58, No. 3, 835--869 (2022; Zbl 1515.11042) Full Text: DOI arXiv
El Bachraoui, Mohamed Some new \(q\)-series identities through an extended Bailey transform. (English) Zbl 1491.05033 Ramanujan J. 58, No. 3, 747-769 (2022). MSC: 05A30 33D15 PDFBibTeX XMLCite \textit{M. El Bachraoui}, Ramanujan J. 58, No. 3, 747--769 (2022; Zbl 1491.05033) Full Text: DOI
Beukers, Frits; Forsgård, Jens \(\Gamma\)-evaluations of hypergeometric series. (English) Zbl 1518.33001 Ramanujan J. 58, No. 3, 677-699 (2022). Reviewer: Bujar Fejzullahu (Presevo) MSC: 33C05 PDFBibTeX XMLCite \textit{F. Beukers} and \textit{J. Forsgård}, Ramanujan J. 58, No. 3, 677--699 (2022; Zbl 1518.33001) Full Text: DOI arXiv
Kaur, Mandeep; Vandna Results on vanishing coefficients in infinite \(q\)-series expansions for certain arithmetic progressions mod 7. (English) Zbl 1510.11068 Ramanujan J. 58, No. 1, 269-289 (2022). MSC: 11B65 11F33 33D15 PDFBibTeX XMLCite \textit{M. Kaur} and \textit{Vandna}, Ramanujan J. 58, No. 1, 269--289 (2022; Zbl 1510.11068) Full Text: DOI
Yu, Menglin; Wang, Xiaoxia Proof of two conjectures of Guo and Schlosser. (English) Zbl 1518.11005 Ramanujan J. 58, No. 1, 239-252 (2022). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 11M06 33D15 05A30 PDFBibTeX XMLCite \textit{M. Yu} and \textit{X. Wang}, Ramanujan J. 58, No. 1, 239--252 (2022; Zbl 1518.11005) Full Text: DOI
Guo, Victor J. W. A new extension of the (H.2) supercongruence of Van Hamme for primes \(p\equiv 3\operatorname{mod}{4}\). (English) Zbl 1503.11005 Ramanujan J. 57, No. 4, 1387-1398 (2022). Reviewer: Guo-Shuai Mao (Nanjing) MSC: 11A07 33D15 11B65 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Ramanujan J. 57, No. 4, 1387--1398 (2022; Zbl 1503.11005) Full Text: DOI
Aloui, Baghdadi; Souissi, Jihad Characterization of \(q\)-Dunkl-classical symmetric orthogonal \(q\)-polynomials. (English) Zbl 1508.33009 Ramanujan J. 57, No. 4, 1355-1365 (2022). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{B. Aloui} and \textit{J. Souissi}, Ramanujan J. 57, No. 4, 1355--1365 (2022; Zbl 1508.33009) Full Text: DOI
Barman, Rupam; Tripathi, Mohit Certain transformations and special values of hypergeometric functions over finite fields. (English) Zbl 1490.33002 Ramanujan J. 57, No. 4, 1277-1306 (2022). Reviewer: Arman Shamsi Zargar (Ardabil) MSC: 33E50 11T24 33C05 33C20 PDFBibTeX XMLCite \textit{R. Barman} and \textit{M. Tripathi}, Ramanujan J. 57, No. 4, 1277--1306 (2022; Zbl 1490.33002) Full Text: DOI
Harshitha, K. N.; Vasuki, K. R.; Yathirajsharma, M. V. Trigonometric sums through Ramanujan’s theory of theta functions. (English) Zbl 1483.11168 Ramanujan J. 57, No. 3, 931-948 (2022). MSC: 11L03 11F20 33C75 PDFBibTeX XMLCite \textit{K. N. Harshitha} et al., Ramanujan J. 57, No. 3, 931--948 (2022; Zbl 1483.11168) Full Text: DOI
Bradley-Thrush, J. G. Properties of the Appell-Lerch function (I). (English) Zbl 1503.33015 Ramanujan J. 57, No. 1, 291-367 (2022). MSC: 33D15 11B65 11F27 30D05 33D65 PDFBibTeX XMLCite \textit{J. G. Bradley-Thrush}, Ramanujan J. 57, No. 1, 291--367 (2022; Zbl 1503.33015) Full Text: DOI
Ito, Ryojun On special values at integers of \(L\)-functions of Jacobi theta products of weight 3. (English) Zbl 1489.11074 Ramanujan J. 57, No. 1, 153-163 (2022). Reviewer: Noriko Yui (Kingston) MSC: 11F67 11F27 33C20 33C99 PDFBibTeX XMLCite \textit{R. Ito}, Ramanujan J. 57, No. 1, 153--163 (2022; Zbl 1489.11074) Full Text: DOI arXiv
Daher, Radouan; Tyr, Othman Growth properties of the \(q\)-Dunkl transform in the space \(L^p_{q,\alpha }({\mathbb{R}}_q,|x|^{2\alpha +1}d_qx)\). (English) Zbl 1501.33007 Ramanujan J. 57, No. 1, 119-134 (2022). MSC: 33D15 42B10 47B48 PDFBibTeX XMLCite \textit{R. Daher} and \textit{O. Tyr}, Ramanujan J. 57, No. 1, 119--134 (2022; Zbl 1501.33007) Full Text: DOI
Melikdzhanian, D. Yu.; Ishkhanyan, A. M. Generalized-hypergeometric solutions of the biconfluent Heun equation. (English) Zbl 1501.33002 Ramanujan J. 57, No. 1, 37-53 (2022). MSC: 33C15 33E30 34B30 34M03 PDFBibTeX XMLCite \textit{D. Yu. Melikdzhanian} and \textit{A. M. Ishkhanyan}, Ramanujan J. 57, No. 1, 37--53 (2022; Zbl 1501.33002) Full Text: DOI arXiv
Wang, Chen On two conjectural supercongruences of Z.-W. Sun. (English) Zbl 1501.11005 Ramanujan J. 56, No. 3, 1111-1121 (2021). MSC: 11A07 11B65 05A10 33C20 PDFBibTeX XMLCite \textit{C. Wang}, Ramanujan J. 56, No. 3, 1111--1121 (2021; Zbl 1501.11005) Full Text: DOI arXiv
Chu, Wenchang Ramanujan-like formulae for \(\pi\) and \(1/\pi\) via Gould-Hsu inverse series relations. (English) Zbl 1493.33003 Ramanujan J. 56, No. 3, 1007-1027 (2021). Reviewer: Ji-Cai Liu (Wenzhou) MSC: 33C20 33C60 PDFBibTeX XMLCite \textit{W. Chu}, Ramanujan J. 56, No. 3, 1007--1027 (2021; Zbl 1493.33003) Full Text: DOI
Kewat, Pramod Kumar; Kumar, Ram Generalizations of Jacobsthal sums and hypergeometric series over finite fields. (English) Zbl 1475.11214 Ramanujan J. 56, No. 3, 993-1006 (2021). MSC: 11T24 11G20 PDFBibTeX XMLCite \textit{P. K. Kewat} and \textit{R. Kumar}, Ramanujan J. 56, No. 3, 993--1006 (2021; Zbl 1475.11214) Full Text: DOI arXiv
Vasuki, K. R.; Yathirajsharma, M. V. On modular equations of degree 25. (English) Zbl 1475.11074 Ramanujan J. 56, No. 2, 743-752 (2021). MSC: 11F27 33C75 PDFBibTeX XMLCite \textit{K. R. Vasuki} and \textit{M. V. Yathirajsharma}, Ramanujan J. 56, No. 2, 743--752 (2021; Zbl 1475.11074) Full Text: DOI
Mao, Guo-Shuai; Wen, Chen-Wei On two supercongruences of truncated hypergeometric series \({}_4 F_3\). (English) Zbl 1479.11012 Ramanujan J. 56, No. 2, 597-612 (2021). MSC: 11A07 33C20 11B68 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{C.-W. Wen}, Ramanujan J. 56, No. 2, 597--612 (2021; Zbl 1479.11012) Full Text: DOI arXiv
Bouras, B.; Habbachi, Y.; Marcellán, F. Rodrigues formula and recurrence coefficients for non-symmetric Dunkl-classical orthogonal polynomials. (English) Zbl 1500.33004 Ramanujan J. 56, No. 2, 451-466 (2021). Reviewer: Małgorzata Michalska (Lublin) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{B. Bouras} et al., Ramanujan J. 56, No. 2, 451--466 (2021; Zbl 1500.33004) Full Text: DOI
Ben Salem, Néjib; Mustapha, Sami Hardy-Littlewood-Sobolev inequality on the parabolic biangle. (English) Zbl 1491.47034 Ramanujan J. 56, No. 1, 387-409 (2021). MSC: 47D07 33C45 42C10 60J35 PDFBibTeX XMLCite \textit{N. Ben Salem} and \textit{S. Mustapha}, Ramanujan J. 56, No. 1, 387--409 (2021; Zbl 1491.47034) Full Text: DOI
Geronimo, Jeffrey S.; Woerdeman, Hugo J.; Wong, Chung Y. Spectral density functions of bivariable stable polynomials. (English) Zbl 1490.42008 Ramanujan J. 56, No. 1, 265-295 (2021). MSC: 42A16 33C05 33C20 41A60 05A16 47A57 94A12 PDFBibTeX XMLCite \textit{J. S. Geronimo} et al., Ramanujan J. 56, No. 1, 265--295 (2021; Zbl 1490.42008) Full Text: DOI arXiv
Bulkhali, Nasser Abdo Saeed; Dasappa, Ranganatha Modular relations for the Rogers-Ramanujan functions with applications to partitions. (English) Zbl 1489.33015 Ramanujan J. 56, No. 1, 121-139 (2021). MSC: 33D15 11P82 11P83 33D90 PDFBibTeX XMLCite \textit{N. A. S. Bulkhali} and \textit{R. Dasappa}, Ramanujan J. 56, No. 1, 121--139 (2021; Zbl 1489.33015) Full Text: DOI
Wang, Miao-Kun; Chu, Hong-Hu; Chu, Yu-Ming On the approximation of some special functions in Ramanujan’s generalized modular equation with signature \(3^{\ast}\). (English) Zbl 1489.33002 Ramanujan J. 56, No. 1, 1-22 (2021). MSC: 33C05 11F03 PDFBibTeX XMLCite \textit{M.-K. Wang} et al., Ramanujan J. 56, No. 1, 1--22 (2021; Zbl 1489.33002) Full Text: DOI
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 PDFBibTeX XMLCite \textit{C. Wei}, Ramanujan J. 55, No. 3, 919--927 (2021; Zbl 1485.33007) Full Text: DOI arXiv
Otsubo, Noriyuki A new approach to hypergeometric transformation formulas. (English) Zbl 1472.33004 Ramanujan J. 55, No. 2, 793-816 (2021). MSC: 33C05 33D15 PDFBibTeX XMLCite \textit{N. Otsubo}, Ramanujan J. 55, No. 2, 793--816 (2021; Zbl 1472.33004) Full Text: DOI arXiv
Mc Laughlin, James New infinite \(q\)-product expansions with vanishing coefficients. (English) Zbl 1495.11043 Ramanujan J. 55, No. 2, 733-760 (2021). MSC: 11B65 33D15 05A19 PDFBibTeX XMLCite \textit{J. Mc Laughlin}, Ramanujan J. 55, No. 2, 733--760 (2021; Zbl 1495.11043) 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 PDFBibTeX XMLCite \textit{M. El Bachraoui}, Ramanujan J. 55, No. 2, 697--711 (2021; Zbl 1479.05023) Full Text: DOI arXiv
Deleaval, L.; Demni, N. Generalized Bessel functions of dihedral-type: expression as a series of confluent Horn functions and Laplace-type integral representation. (English) Zbl 1467.33005 Ramanujan J. 54, No. 1, 197-217 (2021). MSC: 33C45 33C52 33C65 44A20 PDFBibTeX XMLCite \textit{L. Deleaval} and \textit{N. Demni}, Ramanujan J. 54, No. 1, 197--217 (2021; Zbl 1467.33005) Full Text: DOI arXiv
Guo, Xuejun; Peng, Yuzhen; Qin, Hourong Three-variable Mahler measures and special values of \(L\)-functions of modular forms. (English) Zbl 1468.11221 Ramanujan J. 54, No. 1, 147-175 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11F67 11M06 33C20 PDFBibTeX XMLCite \textit{X. Guo} et al., Ramanujan J. 54, No. 1, 147--175 (2021; Zbl 1468.11221) Full Text: DOI
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 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{J. Shi}, Ramanujan J. 54, No. 1, 137--146 (2021; Zbl 1467.33015) Full Text: DOI
Castillo, K.; de Jesus, M. N.; Marcellán, F.; Petronilho, J. \(H_q\)-semiclassical orthogonal polynomials via polynomial mappings. (English) Zbl 1462.42043 Ramanujan J. 54, No. 1, 113-136 (2021). MSC: 42C05 33C45 05A30 PDFBibTeX XMLCite \textit{K. Castillo} et al., Ramanujan J. 54, No. 1, 113--136 (2021; Zbl 1462.42043) Full Text: DOI arXiv
Neretin, Yury A. An analog of the Dougall formula and of the de Branges-Wilson integral. (English) Zbl 1467.33009 Ramanujan J. 54, No. 1, 93-106 (2021). MSC: 33C70 44A15 PDFBibTeX XMLCite \textit{Y. A. Neretin}, Ramanujan J. 54, No. 1, 93--106 (2021; Zbl 1467.33009) Full Text: DOI arXiv
Njionou Sadjang, P.; Mboutngam, S. A fractional \(q\)-derivative operator and fractional extensions of some \(q\)-orthogonal polynomials. (English) Zbl 1462.39007 Ramanujan J. 54, No. 1, 29-41 (2021). MSC: 39A13 39A70 26A33 33D15 PDFBibTeX XMLCite \textit{P. Njionou Sadjang} and \textit{S. Mboutngam}, Ramanujan J. 54, No. 1, 29--41 (2021; Zbl 1462.39007) Full Text: DOI
Faulhuber, Markus An application of hypergeometric functions to heat kernels on rectangular and hexagonal tori and a “Weltkonstante”-or-how Ramanujan split temperatures. (English) Zbl 1468.35080 Ramanujan J. 54, No. 1, 1-27 (2021). MSC: 35K08 33C05 35-03 51M16 PDFBibTeX XMLCite \textit{M. Faulhuber}, Ramanujan J. 54, No. 1, 1--27 (2021; Zbl 1468.35080) Full Text: DOI arXiv
El Bachraoui, Mohamed On supercongruences for truncated sums of squares of basic hypergeometric series. (English) Zbl 1473.11002 Ramanujan J. 54, No. 2, 415-426 (2021). Reviewer: Noriko Yui (Kingston) MSC: 11A07 11B65 11F33 33C20 PDFBibTeX XMLCite \textit{M. El Bachraoui}, Ramanujan J. 54, No. 2, 415--426 (2021; Zbl 1473.11002) Full Text: DOI arXiv
Jabee, S.; Shadab, M.; Paris, R. B. Certain results on Euler-type integrals and their applications. (English) Zbl 1476.33003 Ramanujan J. 54, No. 2, 245-260 (2021). Reviewer: István Mező (Nanjing) MSC: 33C20 33B99 33C05 33E12 PDFBibTeX XMLCite \textit{S. Jabee} et al., Ramanujan J. 54, No. 2, 245--260 (2021; Zbl 1476.33003) Full Text: DOI arXiv
Jana, Arijit; Kalita, Gautam Proof of some conjectural supercongruences of Guo and Schlosser. (English) Zbl 1470.11005 Ramanujan J. 54, No. 3, 649-658 (2021). Reviewer: Noriko Yui (Kingston) MSC: 11A07 33B15 33C20 PDFBibTeX XMLCite \textit{A. Jana} and \textit{G. Kalita}, Ramanujan J. 54, No. 3, 649--658 (2021; Zbl 1470.11005) Full Text: DOI
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 PDFBibTeX XMLCite \textit{X. Chen} and \textit{W. Chu}, Ramanujan J. 54, No. 3, 625--648 (2021; Zbl 1476.33011) Full Text: DOI
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 PDFBibTeX XMLCite \textit{D. Q. J. Dou} and \textit{J. Xiao}, Ramanujan J. 54, No. 3, 475--484 (2021; Zbl 1466.33012) Full Text: DOI
Chu, Wenchang Infinite series identities derived from the very well-poised \(\Omega\)-sum. (English) Zbl 1466.33004 Ramanujan J. 55, No. 1, 239-270 (2021). MSC: 33C20 65B10 PDFBibTeX XMLCite \textit{W. Chu}, Ramanujan J. 55, No. 1, 239--270 (2021; Zbl 1466.33004) Full Text: DOI
Garoufalidis, Stavros; Zagier, Don Asymptotics of Nahm sums at roots of unity. (English) Zbl 1479.57031 Ramanujan J. 55, No. 1, 219-238 (2021). Reviewer: Sunghyuk Park (Pasadena) MSC: 57K16 57K31 PDFBibTeX XMLCite \textit{S. Garoufalidis} and \textit{D. Zagier}, Ramanujan J. 55, No. 1, 219--238 (2021; Zbl 1479.57031) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{D. Tang} and \textit{Ernest. X. W. Xia}, Ramanujan J. 53, No. 3, 705--724 (2020; Zbl 1467.33013) Full Text: DOI arXiv
Green, R. M.; Mishev, Ilia D.; Stade, Eric Coxeter group actions and limits of hypergeometric series. (English) Zbl 1485.33003 Ramanujan J. 53, No. 3, 607-651 (2020). MSC: 33C20 20F55 PDFBibTeX XMLCite \textit{R. M. Green} et al., Ramanujan J. 53, No. 3, 607--651 (2020; Zbl 1485.33003) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{N. D. Baruah} and \textit{M. Kaur}, Ramanujan J. 53, No. 3, 551--568 (2020; Zbl 1476.33010) Full Text: DOI arXiv
Wang, Jin A general \(q\)-expansion formula based on matrix inversions and its applications. (English) Zbl 1462.05040 Ramanujan J. 53, No. 3, 493-516 (2020). MSC: 05A30 33D15 PDFBibTeX XMLCite \textit{J. Wang}, Ramanujan J. 53, No. 3, 493--516 (2020; Zbl 1462.05040) Full Text: DOI arXiv
Ismail, Mourad E. H.; Simeonov, Plamen Multivariate holomorphic Hermite polynomials. (English) Zbl 1475.33003 Ramanujan J. 53, No. 2, 357-387 (2020). Reviewer: María-José Cantero (Zaragoza) MSC: 33C45 33C50 42C05 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{P. Simeonov}, Ramanujan J. 53, No. 2, 357--387 (2020; Zbl 1475.33003) Full Text: DOI
Cheng, Jinfa; Dai, Weizhong Adjoint difference equation for the Nikiforov-Uvarov-Suslov difference equation of hypergeometric type on non-uniform lattices. (English) Zbl 1469.33012 Ramanujan J. 53, No. 2, 285-318 (2020). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33D45 33C45 39A13 PDFBibTeX XMLCite \textit{J. Cheng} and \textit{W. Dai}, Ramanujan J. 53, No. 2, 285--318 (2020; Zbl 1469.33012) Full Text: DOI
Vidunas, Raimundas Darboux evaluations for hypergeometric functions with the projective monodromy \(\mathrm{PSL}(2,\mathbb{F}_7)\). (English) Zbl 1471.34010 Ramanujan J. 53, No. 1, 85-121 (2020). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34A05 33C20 11F03 34M15 PDFBibTeX XMLCite \textit{R. Vidunas}, Ramanujan J. 53, No. 1, 85--121 (2020; Zbl 1471.34010) Full Text: DOI arXiv
Wang, Xiaoyuan; Chu, Wenchang Further Ramanujan-like series containing harmonic numbers and squared binomial coefficients. (English) Zbl 1444.33005 Ramanujan J. 52, No. 3, 641-668 (2020). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 33C20 65B10 PDFBibTeX XMLCite \textit{X. Wang} and \textit{W. Chu}, Ramanujan J. 52, No. 3, 641--668 (2020; Zbl 1444.33005) Full Text: DOI
Pujahari, Sudhir; Saikia, Neelam Traces of Hecke operators in level 1 and \(p\)-adic hypergeometric functions. (English) Zbl 1465.11108 Ramanujan J. 52, No. 3, 519-539 (2020). MSC: 11F30 11G20 33E50 11T24 11S80 PDFBibTeX XMLCite \textit{S. Pujahari} and \textit{N. Saikia}, Ramanujan J. 52, No. 3, 519--539 (2020; Zbl 1465.11108) Full Text: DOI
Guillera, Jesús A method for proving Ramanujan’s series for \(1/\pi\). (English) Zbl 1440.33019 Ramanujan J. 52, No. 2, 421-431 (2020). Reviewer: Richard B. Paris (Dundee) MSC: 33E05 11F03 33C20 33C75 PDFBibTeX XMLCite \textit{J. Guillera}, Ramanujan J. 52, No. 2, 421--431 (2020; Zbl 1440.33019) Full Text: DOI arXiv
Baseilhac, Pascal; Vinet, Luc; Zhedanov, Alexei The q-Heun operator of big q-Jacobi type and the q-Heun algebra. (English) Zbl 1444.39007 Ramanujan J. 52, No. 2, 367-380 (2020). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 39A13 39A70 33D05 33E30 33C45 PDFBibTeX XMLCite \textit{P. Baseilhac} et al., Ramanujan J. 52, No. 2, 367--380 (2020; Zbl 1444.39007) Full Text: DOI arXiv
Baseilhac, Pascal; Martin, Xavier; Vinet, Luc; Zhedanov, Alexei Little and big \(q\)-Jacobi polynomials and the Askey-Wilson algebra. (English) Zbl 1436.81070 Ramanujan J. 51, No. 3, 629-648 (2020). MSC: 81R50 81R10 81U15 39A70 33D50 39A13 17B37 PDFBibTeX XMLCite \textit{P. Baseilhac} et al., Ramanujan J. 51, No. 3, 629--648 (2020; Zbl 1436.81070) Full Text: DOI arXiv