Boukraa, S.; Maillard, J-M The lambda extensions of the Ising correlation functions \(C(M, N)\). (English) Zbl 1517.82011 J. Phys. A, Math. Theor. 56, No. 8, Article ID 085201, 35 p. (2023). MSC: 82B20 34M55 PDFBibTeX XMLCite \textit{S. Boukraa} and \textit{J-M Maillard}, J. Phys. A, Math. Theor. 56, No. 8, Article ID 085201, 35 p. (2023; Zbl 1517.82011) Full Text: DOI arXiv
Boukraa, S.; Cosgrove, C.; Maillard, J.-M.; McCoy, B. M. Factorization of Ising correlations \(C(M, N)\) for \(\nu = - k\) and \(M + N\) odd, \(M \leqslant N\), \(T < T_{\mathrm{c}}\) and their lambda extensions. (English) Zbl 1525.82006 J. Phys. A, Math. Theor. 55, No. 40, Article ID 405204, 51 p. (2022). MSC: 82B20 34M55 PDFBibTeX XMLCite \textit{S. Boukraa} et al., J. Phys. A, Math. Theor. 55, No. 40, Article ID 405204, 51 p. (2022; Zbl 1525.82006) Full Text: DOI arXiv
Boukraa, S.; Maillard, J.-M.; McCoy, B. M. The Ising correlation \(C(M, N)\) for \(\nu = -k\). (English) Zbl 1519.82009 J. Phys. A, Math. Theor. 53, No. 46, Article ID 465202, 34 p. (2020). MSC: 82B20 34M55 33E17 PDFBibTeX XMLCite \textit{S. Boukraa} et al., J. Phys. A, Math. Theor. 53, No. 46, Article ID 465202, 34 p. (2020; Zbl 1519.82009) Full Text: DOI arXiv
Boukraa, S.; Maillard, J.-M. Selected non-holonomic functions in lattice statistical mechanics and enumerative combinatorics. (English) Zbl 1342.82021 J. Phys. A, Math. Theor. 49, No. 7, Article ID 074001, 28 p. (2016). MSC: 82B20 PDFBibTeX XMLCite \textit{S. Boukraa} and \textit{J. M. Maillard}, J. Phys. A, Math. Theor. 49, No. 7, Article ID 074001, 28 p. (2016; Zbl 1342.82021) Full Text: DOI arXiv
Boukraa, S.; Hassani, S.; Maillard, J.-M.; Weil, J.-A. Canonical decomposition of irreducible linear differential operators with symplectic or orthogonal differential Galois groups. (English) Zbl 1460.12002 J. Phys. A, Math. Theor. 48, No. 10, Article ID 105202, 40 p. (2015). MSC: 12H05 82B20 34M55 PDFBibTeX XMLCite \textit{S. Boukraa} et al., J. Phys. A, Math. Theor. 48, No. 10, Article ID 105202, 40 p. (2015; Zbl 1460.12002) Full Text: DOI arXiv
Boukraa, S.; Hassani, S.; Maillard, J.-M. The Ising model and special geometries. (English) Zbl 1308.82007 J. Phys. A, Math. Theor. 47, No. 22, Article ID 225204, 31 p. (2014). MSC: 82B20 34M55 12H05 PDFBibTeX XMLCite \textit{S. Boukraa} et al., J. Phys. A, Math. Theor. 47, No. 22, Article ID 225204, 31 p. (2014; Zbl 1308.82007) Full Text: DOI arXiv
Boukraa, S.; Hassani, S.; Maillard, J.-M. Holonomic functions of several complex variables and singularities of anisotropic Ising \(n\)-fold integrals. (English) Zbl 1257.82017 J. Phys. A, Math. Theor. 45, No. 49, Article ID 494010, 33 p. (2012). MSC: 82B20 34M55 47E05 32G34 14J32 35Q82 14K30 82B26 PDFBibTeX XMLCite \textit{S. Boukraa} et al., J. Phys. A, Math. Theor. 45, No. 49, Article ID 494010, 33 p. (2012; Zbl 1257.82017) Full Text: DOI arXiv
Assis, M.; Boukraa, S.; Hassani, S.; van Hoeij, M.; Maillard, J.-M.; McCoy, B. M. Diagonal Ising susceptibility: elliptic integrals, modular forms and Calabi-Yau equations. (English) Zbl 1273.82008 J. Phys. A, Math. Theor. 45, No. 7, Article ID 075205, 32 p. (2012). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B20 34M55 47E05 PDFBibTeX XMLCite \textit{M. Assis} et al., J. Phys. A, Math. Theor. 45, No. 7, Article ID 075205, 32 p. (2012; Zbl 1273.82008) Full Text: DOI arXiv
Nickel, B.; Jensen, I.; Boukraa, S.; Guttmann, A. J.; Hassani, S.; Maillard, J.-M.; Zenine, N. Square lattice Ising model \(\tilde {\chi }^{(5)}\) ODE in exact arithmetic. (English) Zbl 1196.82075 J. Phys. A, Math. Theor. 43, No. 19, Article ID 195205, 24 p. (2010). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B20 34M55 47E05 PDFBibTeX XMLCite \textit{B. Nickel} et al., J. Phys. A, Math. Theor. 43, No. 19, Article ID 195205, 24 p. (2010; Zbl 1196.82075) Full Text: DOI arXiv
Bostan, A.; Boukraa, S.; Guttmann, A. J.; Hassani, S.; Jensen, I.; Maillard, J.-M.; Zenine, N. High order Fuchsian equations for the square lattice Ising model: \(\widetilde{\chi}^{(5)}\). (English) Zbl 1171.82005 J. Phys. A, Math. Theor. 42, No. 27, Article ID 275209, 32 p., 32 p. (2009). MSC: 82B20 34M55 47E05 81Qxx 32G34 34Lxx 34Mxx 14Kxx PDFBibTeX XMLCite \textit{A. Bostan} et al., J. Phys. A, Math. Theor. 42, No. 27, Article ID 275209, 32 p., 32 p. (2009; Zbl 1171.82005) Full Text: DOI arXiv
Bostan, A.; Boukraa, S.; Hassani, S.; Maillard, J.-M.; Weil, J.-A.; Zenine, N. Globally nilpotent differential operators and the square Ising model. (English) Zbl 1167.82005 J. Phys. A, Math. Theor. 42, No. 12, Article ID 125206, 50 p. (2009). Reviewer: Christina Papenfuß (Berlin) MSC: 82B20 34M55 47E05 81Qxx 32G34 34Lxx 34Mxx 14Kxx PDFBibTeX XMLCite \textit{A. Bostan} et al., J. Phys. A, Math. Theor. 42, No. 12, Article ID 125206, 50 p. (2009; Zbl 1167.82005) Full Text: DOI arXiv
Boukraa, S.; Guttmann, A. J.; Hassani, S.; Jensen, I.; Maillard, J.-M.; Nickel, B.; Zenine, N. Experimental mathematics on the magnetic susceptibility of the square lattice Ising model. (English) Zbl 1152.82305 J. Phys. A, Math. Theor. 41, No. 45, Article ID 455202, 51 p. (2008). MSC: 82B20 34M55 47E05 81Qxx 32G34 82-05 PDFBibTeX XMLCite \textit{S. Boukraa} et al., J. Phys. A, Math. Theor. 41, No. 45, Article ID 455202, 51 p. (2008; Zbl 1152.82305) Full Text: DOI arXiv
Boukraa, Salah; Hassani, Saoud; Maillard, Jean-Marie; Zenine, Nadjah From holonomy of the Ising model form factors to \(n\)-fold integrals and the theory of elliptic curves. (English) Zbl 1137.34040 SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 099, 43 p. (2007). MSC: 34M55 47E05 32G34 34Lxx 34Kxx 14H52 81T27 33E20 82B20 PDFBibTeX XMLCite \textit{S. Boukraa} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 099, 43 p. (2007; Zbl 1137.34040) Full Text: DOI arXiv EuDML EMIS
Boukraa, S.; Hassani, S.; Maillard, J.-M.; Zenine, N. Singularities of \(n\)-fold integrals of the Ising class and the theory of elliptic curves. (English) Zbl 1128.34057 J. Phys. A, Math. Theor. 40, No. 39, 11713-11748 (2007). MSC: 34M35 81Q05 32G34 14H52 82B20 PDFBibTeX XMLCite \textit{S. Boukraa} et al., J. Phys. A, Math. Theor. 40, No. 39, 11713--11748 (2007; Zbl 1128.34057) Full Text: DOI arXiv
Boukraa, S.; Hassani, S.; Maillard, J.-M.; McCoy, B. M.; Orrick, W. P.; Zenine, N. Holonomy of the Ising model form factors. (English) Zbl 1107.82007 J. Phys. A, Math. Theor. 40, No. 1, 75-111 (2007). MSC: 82B20 33E17 33E05 34M55 47E05 PDFBibTeX XMLCite \textit{S. Boukraa} et al., J. Phys. A, Math. Theor. 40, No. 1, 75--111 (2007; Zbl 1107.82007) Full Text: DOI arXiv
Zenine, N.; Boukraa, S.; Hassani, Saoud; Maillard, Jean-Marie Differential Galois groups of high order Fuchsian ODE’s. (English) Zbl 1183.34136 Ge, Mo-Lin (ed.) et al., Differential geometry and physics. Proceedings of the 23rd international conference of differential geometric methods in theoretical physics, Tianjin, China, August 20–26, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-377-4/hbk). Nankai Tracts in Mathematics 10, 490-502 (2006). MSC: 34M15 82B20 34M55 12H05 12F10 PDFBibTeX XMLCite \textit{N. Zenine} et al., Nankai Tracts Math. 10, 490--502 (2006; Zbl 1183.34136) Full Text: arXiv
Zenine, N.; Boukraa, S.; Hassani, S.; Maillard, J.-M. Ising model susceptibility: the Fuchsian differential equation for \(\chi^{(4)}\) and its factorization properties. (English) Zbl 1086.82520 J. Phys. A, Math. Gen. 38, No. 19, 4149-4173 (2005). MSC: 82B20 34M55 47E05 81Q05 32G34 PDFBibTeX XMLCite \textit{N. Zenine} et al., J. Phys. A, Math. Gen. 38, No. 19, 4149--4173 (2005; Zbl 1086.82520) Full Text: DOI arXiv
Anglès d’Auriac, J.-Ch.; Boukraa, S.; Maillard, J.-M. Functional relations in lattice statistical mechanics, enumerative combinatorics and discrete dynamical systems. (English) Zbl 1055.82505 Ann. Comb. 3, No. 2-4, 131-158 (1999). MSC: 82B20 14E05 37C30 39B05 82B23 PDFBibTeX XMLCite \textit{J. Ch. Anglès d'Auriac} et al., Ann. Comb. 3, No. 2--4, 131--158 (1999; Zbl 1055.82505) Full Text: DOI