Turbiner, Alexander V.; Lopez Vieyra, Juan Carlos; Guadarrama-Ayala, Miguel A. \(\mathfrak{gl}(3)\) polynomial integrable system: different faces of the 3-body/\(\mathcal{A}_2\) elliptic Calogero model. (English) Zbl 07803235 SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 012, 23 p. (2024). MSC: 81R12 81S05 81U15 PDFBibTeX XMLCite \textit{A. V. Turbiner} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 012, 23 p. (2024; Zbl 07803235) Full Text: arXiv Link
Arai, Yumi; Takemura, Kouichi On \(q\)-middle convolution and \(q\)-hypergeometric equations. (English) Zbl 07711517 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 037, 40 p. (2023). MSC: 33D15 39A13 44A20 PDFBibTeX XMLCite \textit{Y. Arai} and \textit{K. Takemura}, SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 037, 40 p. (2023; Zbl 07711517) Full Text: DOI arXiv
Komeda, Jiryo; Matsutani, Shigeki; Previato, Emma Complementary modules of Weierstrass canonical forms. (English) Zbl 1510.14028 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 098, 39 p. (2022). MSC: 14H55 14H50 16S36 13H10 PDFBibTeX XMLCite \textit{J. Komeda} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 098, 39 p. (2022; Zbl 1510.14028) Full Text: DOI arXiv
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
Bi, Lijuan; Cohl, Howard S.; Volkmer, Hans Expansion for a fundamental solution of Laplace’s equation in flat-ring cyclide coordinates. (English) Zbl 1497.35099 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 041, 31 p. (2022). MSC: 35J05 35A08 PDFBibTeX XMLCite \textit{L. Bi} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 041, 31 p. (2022; Zbl 1497.35099) Full Text: DOI arXiv
Ayano, Takanori; Buchstaber, Victor M. Relationships between hyperelliptic functions of genus 2 and elliptic functions. (English) Zbl 1481.14057 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 010, 30 p. (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H40 14H42 14K25 32A20 33E05 PDFBibTeX XMLCite \textit{T. Ayano} and \textit{V. M. Buchstaber}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 010, 30 p. (2022; Zbl 1481.14057) Full Text: DOI arXiv
Almeida, Guilherme F. The differential geometry of the orbit space of extended affine Jacobi group \(A_1\). (English) Zbl 1477.53111 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 022, 39 p. (2021). Reviewer: Sergiy Koshkin (Houston) MSC: 53D45 PDFBibTeX XMLCite \textit{G. F. Almeida}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 022, 39 p. (2021; Zbl 1477.53111) 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
Cotti, Giordano; Dubrovin, Boris; Guzzetti, Davide Local moduli of semisimple Frobenius coalescent structures. (English) Zbl 1442.53060 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 040, 105 p. (2020). MSC: 53D45 34M56 18G80 PDFBibTeX XMLCite \textit{G. Cotti} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 040, 105 p. (2020; Zbl 1442.53060) Full Text: DOI arXiv
Yagasaki, Kazuyuki; Yamanaka, Shogo Heteroclinic orbits and nonintegrability in two-degree-of-freedom Hamiltonian systems with saddle-centers. (English) Zbl 1436.37066 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 049, 17 p. (2019). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37J30 37J46 34C28 37C29 37J25 70K55 37M20 PDFBibTeX XMLCite \textit{K. Yagasaki} and \textit{S. Yamanaka}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 049, 17 p. (2019; Zbl 1436.37066) Full Text: DOI arXiv
Jiménez, Sonia; Morales-Ruiz, Juan J.; Sánchez-Cauce, Raquel; Zurro, María-Ángeles Rational KdV potentials and differential Galois theory. (English) Zbl 1511.12001 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 047, 40 p. (2019). MSC: 12H05 35Q51 37K10 PDFBibTeX XMLCite \textit{S. Jiménez} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 047, 40 p. (2019; Zbl 1511.12001) Full Text: DOI arXiv
Volkmer, Hans Eigenvalue problems for Lamé’s differential equation. (English) Zbl 1409.34077 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 131, 21 p. (2018). MSC: 34M03 34B30 34L15 PDFBibTeX XMLCite \textit{H. Volkmer}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 131, 21 p. (2018; Zbl 1409.34077) Full Text: DOI arXiv
Ito, Masahiko; Noumi, Masatoshi Connection formula for the Jackson integral of type \(A_n\) and elliptic Lagrange interpolation. (English) Zbl 1396.33035 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 077, 42 p. (2018). MSC: 33D52 39A13 PDFBibTeX XMLCite \textit{M. Ito} and \textit{M. Noumi}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 077, 42 p. (2018; Zbl 1396.33035) Full Text: DOI arXiv
Bernatska, Julia; Leykin, Dmitry On regularization of second kind integrals. (English) Zbl 1398.30041 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 074, 28 p. (2018). MSC: 30H99 14H55 PDFBibTeX XMLCite \textit{J. Bernatska} and \textit{D. Leykin}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 074, 28 p. (2018; Zbl 1398.30041) Full Text: DOI arXiv
Abramochkin, Eugeny G.; Razueva, Evgeniya V. Higher derivatives of Airy functions and of their products. (English) Zbl 1390.33013 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 042, 26 p. (2018). MSC: 33C10 33C05 33C20 PDFBibTeX XMLCite \textit{E. G. Abramochkin} and \textit{E. V. Razueva}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 042, 26 p. (2018; Zbl 1390.33013) Full Text: DOI arXiv
Cardoso, José Luis On basic Fourier-Bessel expansions. (English) Zbl 1388.42075 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 035, 13 p. (2018). MSC: 42C10 33D45 33D15 PDFBibTeX XMLCite \textit{J. L. Cardoso}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 035, 13 p. (2018; Zbl 1388.42075) Full Text: DOI arXiv
Bhatnagar, Gaurav; Schlosser, Michael J. Elliptic well-poised Bailey transforms and lemmas on root systems. (English) Zbl 1387.33026 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 025, 44 p. (2018). MSC: 33D67 PDFBibTeX XMLCite \textit{G. Bhatnagar} and \textit{M. J. Schlosser}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 025, 44 p. (2018; Zbl 1387.33026) Full Text: DOI arXiv
Atai, Farrokh; Langmann, Edwin Series solutions of the non-stationary Heun equation. (English) Zbl 1387.33030 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 011, 32 p. (2018). MSC: 33E20 16R60 81Q05 PDFBibTeX XMLCite \textit{F. Atai} and \textit{E. Langmann}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 011, 32 p. (2018; Zbl 1387.33030) 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
Haese-Hill, William A.; Hallnäs, Martin A.; Veselov, Alexander P. On the spectra of real and complex Lamé operators. (English) Zbl 1385.34061 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 049, 23 p. (2017). Reviewer: Khanlar R. Mamedov (Mersin) MSC: 34L40 33E10 34L05 PDFBibTeX XMLCite \textit{W. A. Haese-Hill} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 049, 23 p. (2017; Zbl 1385.34061) 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
Dereziński, Jan; Majewski, Przemysław From conformal group to symmetries of hypergeometric type equations. (English) Zbl 1360.35048 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 108, 69 p. (2016). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 35J05 35B06 33C05 33C10 PDFBibTeX XMLCite \textit{J. Dereziński} and \textit{P. Majewski}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 108, 69 p. (2016; Zbl 1360.35048) Full Text: DOI arXiv
Karp, Dmitrii; Prilepkina, Elena Hypergeometric differential equation and new identities for the coefficients of Nørlund and Bühring. (English) Zbl 1342.33013 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 052, 23 p. (2016). MSC: 33C20 33C60 34M35 PDFBibTeX XMLCite \textit{D. Karp} and \textit{E. Prilepkina}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 052, 23 p. (2016; Zbl 1342.33013) 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. 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