Nobukawa, Takahiko Connection problem for an extension of \(q\)-hypergeometric systems. (English) Zbl 1523.33007 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 080, 21 p. (2022). MSC: 33D70 39A13 PDFBibTeX XMLCite \textit{T. Nobukawa}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 080, 21 p. (2022; Zbl 1523.33007) Full Text: DOI arXiv
Bogoliubov, Nikolay; Malyshev, Cyril How to draw a correlation function. (English) Zbl 1479.05028 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 106, 35 p. (2021). MSC: 05A19 05E05 82B23 82B10 PDFBibTeX XMLCite \textit{N. Bogoliubov} and \textit{C. Malyshev}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 106, 35 p. (2021; Zbl 1479.05028) Full Text: DOI arXiv
Derkachov, Sergey É.; Kozlowski, Karol K.; Manashov, Alexander N. Completeness of SoV representation for \(\mathrm{SL}(2,\mathbb{R})\) spin chains. (English) Zbl 07425538 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 063, 26 p. (2021). MSC: 82-XX 33C70 81R12 PDFBibTeX XMLCite \textit{S. É. Derkachov} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 063, 26 p. (2021; Zbl 07425538) Full Text: DOI arXiv
Koshida, Shinji Pfaffian point processes from free fermion algebras: perfectness and conditional measures. (English) Zbl 1459.60109 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 008, 35 p. (2021). MSC: 60G55 46L53 46L30 PDFBibTeX XMLCite \textit{S. Koshida}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 008, 35 p. (2021; Zbl 1459.60109) Full Text: DOI arXiv
Lee, Chul-Hee; Rains, Eric M.; Warnaar, S. Ole An elliptic hypergeometric function approach to branching rules. (English) Zbl 1462.05351 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 142, 52 p. (2020). MSC: 05E05 05E10 20C33 33D05 33D52 33D67 PDFBibTeX XMLCite \textit{C.-H. Lee} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 142, 52 p. (2020; Zbl 1462.05351) Full Text: DOI arXiv
Shibukawa, Genki New Pieri type formulas for Jack polynomials and their applications to interpolation Jack polynomials. (English) Zbl 1455.05078 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 118, 11 p. (2020). MSC: 05E05 33C67 43A90 PDFBibTeX XMLCite \textit{G. Shibukawa}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 118, 11 p. (2020; Zbl 1455.05078) Full Text: DOI arXiv
Fukuda, Masayuki; Ohkubo, Yusuke; Shiraishi, Jun’ichi Non-stationary Ruijsenaars functions for \(\kappa = t^{-1/N}\) and intertwining operators of Ding-Iohara-Miki algebra. (English) Zbl 1461.33008 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 116, 55 p. (2020). Reviewer: Rutwig Campoamor Stursberg (Madrid) MSC: 33D52 81R10 PDFBibTeX XMLCite \textit{M. Fukuda} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 116, 55 p. (2020; Zbl 1461.33008) Full Text: DOI arXiv
Ito, Masahiko \(q\)-difference systems for the Jackson integral of symmetric Selberg type. (English) Zbl 1459.33013 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 113, 31 p. (2020). Reviewer: Faitori Omer Salem (Tripoli) MSC: 33D60 39A13 PDFBibTeX XMLCite \textit{M. Ito}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 113, 31 p. (2020; Zbl 1459.33013) Full Text: DOI arXiv
Rains, Eric M. Elliptic double affine Hecke algebras. (English) Zbl 1508.20006 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 111, 133 p. (2020). MSC: 20C08 14A22 33D80 20F55 39A70 PDFBibTeX XMLCite \textit{E. M. Rains}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 111, 133 p. (2020; Zbl 1508.20006) Full Text: DOI arXiv
Rosengren, Hjalmar; Schlosser, Michael J. Multidimensional matrix inversions and elliptic hypergeometric series on root systems. (English) Zbl 1460.33021 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 088, 21 p. (2020). Reviewer: Faitori Omer Salem (Tripoli) MSC: 33D67 PDFBibTeX XMLCite \textit{H. Rosengren} and \textit{M. J. Schlosser}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 088, 21 p. (2020; Zbl 1460.33021) Full Text: DOI arXiv
Hoshino, Ayumu; Shiraishi, Jun’ichi Branching rules for Koornwinder polynomials with one column diagrams and matrix inversions. (English) Zbl 1455.33010 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 084, 28 p. (2020). MSC: 33D52 33D45 PDFBibTeX XMLCite \textit{A. Hoshino} and \textit{J. Shiraishi}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 084, 28 p. (2020; Zbl 1455.33010) Full Text: DOI arXiv
Bergeron, Nantel; Ceballos, Cesar; Küstner, Josef Elliptic and \(q\)-analogs of the fibonomial numbers. (English) Zbl 1471.11044 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 076, 16 p. (2020). MSC: 11B39 05A30 05A10 PDFBibTeX XMLCite \textit{N. Bergeron} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 076, 16 p. (2020; Zbl 1471.11044) Full Text: DOI arXiv
Sarkissian, Gor A.; Spiridonov, Vyacheslav P. The endless beta integrals. (English) Zbl 1473.33009 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 074, 21 p. (2020). Reviewer: D. L. Suthar (Dessie) MSC: 33D60 33E20 PDFBibTeX XMLCite \textit{G. A. Sarkissian} and \textit{V. P. Spiridonov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 074, 21 p. (2020; Zbl 1473.33009) Full Text: DOI arXiv
Noumi, Masatoshi; Ruijsenaars, Simon; Yamada, Yasuhiko The elliptic Painlevé Lax equation vs. van Diejen’s 8-coupling elliptic Hamiltonian. (English) Zbl 1476.39021 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 063, 16 p. (2020). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 39A36 37J65 37J70 39A12 33E05 PDFBibTeX XMLCite \textit{M. Noumi} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 063, 16 p. (2020; Zbl 1476.39021) Full Text: DOI arXiv
Derkachov, Sergey É.; Manashov, Alexander N. On complex gamma-function integrals. (English) Zbl 1436.81043 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 003, 20 p. (2020). MSC: 81Q10 81R05 82B20 82D40 33C70 33D05 PDFBibTeX XMLCite \textit{S. É. Derkachov} and \textit{A. N. Manashov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 003, 20 p. (2020; Zbl 1436.81043) Full Text: DOI arXiv
Ghosal, Promit Correlation functions of the Pfaffian Schur process using Macdonald difference operators. (English) Zbl 1432.60019 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 092, 37 p. (2019). MSC: 60C05 05E05 PDFBibTeX XMLCite \textit{P. Ghosal}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 092, 37 p. (2019; Zbl 1432.60019) Full Text: DOI arXiv
Magadov, Kamil Yu.; Spiridonov, Vyacheslav P. Matrix Bailey lemma and the star-triangle relation. (English) Zbl 1405.33027 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 121, 13 p. (2018). MSC: 33D60 33E20 PDFBibTeX XMLCite \textit{K. Yu. Magadov} and \textit{V. P. Spiridonov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 121, 13 p. (2018; Zbl 1405.33027) Full Text: DOI arXiv
Hoshino, Ayumu; Shiraishi, Jun’ichi Macdonald polynomials of type \(C_n\) with one-column diagrams and deformed Catalan numbers. (English) Zbl 1401.33014 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 101, 33 p. (2018). MSC: 33D52 33D45 PDFBibTeX XMLCite \textit{A. Hoshino} and \textit{J. Shiraishi}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 101, 33 p. (2018; Zbl 1401.33014) Full Text: DOI arXiv
Bhatnagar, Gaurav; Krattenthaler, Christian The determinant of an elliptic sylvesteresque matrix. (English) Zbl 1391.33040 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 052, 15 p. (2018). MSC: 33D67 15A15 PDFBibTeX XMLCite \textit{G. Bhatnagar} and \textit{C. Krattenthaler}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 052, 15 p. (2018; Zbl 1391.33040) Full Text: DOI arXiv
Ardehali, Arash Arabi The hyperbolic asymptotics of elliptic hypergeometric integrals arising in supersymmetric gauge theory. (English) Zbl 1390.33036 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 043, 30 p. (2018). MSC: 33D67 33E05 41A60 81T13 81T60 PDFBibTeX XMLCite \textit{A. A. Ardehali}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 043, 30 p. (2018; Zbl 1390.33036) Full Text: DOI arXiv
Nazzal, Belal; Razamat, Shlomo S. Surface defects in E-string compactifications and the van Diejen model. (English) Zbl 1388.81589 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 036, 20 p. (2018). MSC: 81T30 81T60 PDFBibTeX XMLCite \textit{B. Nazzal} and \textit{S. S. Razamat}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 036, 20 p. (2018; Zbl 1388.81589) Full Text: DOI arXiv
Betea, Dan Elliptically distributed lozenge tilings of a hexagon. (English) Zbl 1390.33039 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 032, 39 p. (2018). MSC: 33E05 60C05 05E05 PDFBibTeX XMLCite \textit{D. Betea}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 032, 39 p. (2018; Zbl 1390.33039) Full Text: DOI arXiv
Rains, Eric M. Multivariate quadratic transformations and the interpolation kernel. (English) Zbl 1387.33027 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 019, 69 p. (2018). MSC: 33D67 33E05 PDFBibTeX XMLCite \textit{E. M. Rains}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 019, 69 p. (2018; Zbl 1387.33027) Full Text: DOI arXiv
Kels, Andrew P.; Yamazaki, Masahito Elliptic hypergeometric sum/integral transformations and supersymmetric lens index. (English) Zbl 1387.33019 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 013, 29 p. (2018). MSC: 33C67 16T25 33E20 81T13 81T60 82B23 PDFBibTeX XMLCite \textit{A. P. Kels} and \textit{M. Yamazaki}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 013, 29 p. (2018; Zbl 1387.33019) Full Text: DOI arXiv
Nagao, Hidehito A variation of the \(q\)-Painlevé system with affine Weyl group symmetry of type \(E_7^{(1)}\). (English) Zbl 1387.14096 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 092, 18 p. (2017). Reviewer: Vladimir P. Kostov (Nice) MSC: 14H70 33D15 33D70 34M55 37K20 39A13 41A21 PDFBibTeX XMLCite \textit{H. Nagao}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 092, 18 p. (2017; Zbl 1387.14096) Full Text: DOI arXiv
Katori, Makoto Elliptic determinantal processes and elliptic Dyson models. (English) Zbl 1395.60101 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 079, 36 p. (2017). MSC: 60J65 60G44 82C22 60B20 33E05 17B22 PDFBibTeX XMLCite \textit{M. Katori}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 079, 36 p. (2017; Zbl 1395.60101) Full Text: DOI arXiv
Yamada, Yasuhiko An elliptic Garnier system from interpolation. (English) Zbl 1377.39017 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 069, 8 p. (2017). MSC: 39A13 33E05 33E17 41A05 PDFBibTeX XMLCite \textit{Y. Yamada}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 069, 8 p. (2017; Zbl 1377.39017) Full Text: DOI arXiv
Rosengren, Hjalmar Gustafson-Rakha-type elliptic hypergeometric series. (English) Zbl 1366.33013 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 037, 11 p. (2017). MSC: 33D67 PDFBibTeX XMLCite \textit{H. Rosengren}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 037, 11 p. (2017; Zbl 1366.33013) Full Text: DOI arXiv
Ormerod, Christopher M.; Rains, Eric M. Commutation relations and discrete garnier systems. (English) Zbl 1351.39004 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 110, 50 p. (2016). MSC: 39A10 39A13 37K15 PDFBibTeX XMLCite \textit{C. M. Ormerod} and \textit{E. M. Rains}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 110, 50 p. (2016; Zbl 1351.39004) Full Text: DOI arXiv
Ferrari, Patrik L.; Spohn, Herbert On time correlations for KPZ growth in one dimension. (English) Zbl 1344.60095 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 074, 23 p. (2016). MSC: 60K35 82C22 82B43 PDFBibTeX XMLCite \textit{P. L. Ferrari} and \textit{H. Spohn}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 074, 23 p. (2016; Zbl 1344.60095) Full Text: DOI arXiv
Fu, Yuchen; Shelley-Abrahamson, Seth A family of finite-dimensional representations of generalized double affine Hecke algebras of higher rank. (English) Zbl 1343.20006 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 055, 11 p. (2016). MSC: 20C08 17B37 PDFBibTeX XMLCite \textit{Y. Fu} and \textit{S. Shelley-Abrahamson}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 055, 11 p. (2016; Zbl 1343.20006) Full Text: DOI arXiv
Vinet, Luc; Zhedanov, Alexei Hypergeometric orthogonal polynomials with respect to Newtonian bases. (English) Zbl 1341.42045 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 048, 14 p. (2016). MSC: 42C05 42C15 PDFBibTeX XMLCite \textit{L. Vinet} and \textit{A. Zhedanov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 048, 14 p. (2016; Zbl 1341.42045) Full Text: DOI arXiv
Schlosser, Michael J.; Yoo, Meesue Elliptic hypergeometric summations by Taylor series expansion and interpolation. (English) Zbl 1343.30031 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 039, 21 p. (2016). MSC: 30E05 33D15 33D70 33E05 33E20 PDFBibTeX XMLCite \textit{M. J. Schlosser} and \textit{M. Yoo}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 039, 21 p. (2016; Zbl 1343.30031) Full Text: DOI arXiv
Kirillov, Anatol N. Notes on Schubert, Grothendieck and key polynomials. (English) Zbl 1334.05176 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 034, 56 p. (2016). MSC: 05E05 05E10 05A19 PDFBibTeX XMLCite \textit{A. N. Kirillov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 034, 56 p. (2016; Zbl 1334.05176) Full Text: DOI arXiv
Kirillov, Anatol N. On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials. (English) Zbl 1348.05213 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 002, 172 p. (2016). MSC: 05E15 14N15 16T25 53D45 PDFBibTeX XMLCite \textit{A. N. Kirillov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 002, 172 p. (2016; Zbl 1348.05213) Full Text: DOI arXiv EMIS