Bothner, Thomas On the origins of Riemann-Hilbert problems in mathematics. (English) Zbl 1462.30070 Nonlinearity 34, No. 4, R1-R73 (2021). MSC: 30E25 45M05 60B20 PDF BibTeX XML Cite \textit{T. Bothner}, Nonlinearity 34, No. 4, R1--R73 (2021; Zbl 1462.30070) Full Text: DOI arXiv OpenURL
Ohyama, Yousuke; Ramis, Jean-Pierre; Sauloy, Jacques The space of monodromy data for the Jimbo-Sakai family of \(q\)-difference equations. (English. French summary) Zbl 1480.81075 Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1119-1250 (2021). Reviewer: Nicolás Andruskiewitsch (Córdoba) MSC: 39A13 34M55 34M56 34M55 81R50 17B37 PDF BibTeX XML Cite \textit{Y. Ohyama} et al., Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1119--1250 (2021; Zbl 1480.81075) Full Text: DOI arXiv OpenURL
Ramis, Jean-Pierre Hiroshi Umemura and French mathematics. (Hiroshi Umemura et les mathématiques françaises.) (French. English summary) Zbl 1487.01020 Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1007-1052 (2021). Reviewer: Robert W. van der Waall (Huizen) MSC: 01A60 12-03 34-03 01A55 PDF BibTeX XML Cite \textit{J.-P. Ramis}, Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1007--1052 (2021; Zbl 1487.01020) Full Text: DOI OpenURL
Molag, L. D. The matching condition for larger size Riemann-Hilbert problems. (English) Zbl 1456.30070 J. Approx. Theory 263, Article ID 105536, 37 p. (2021). MSC: 30E25 PDF BibTeX XML Cite \textit{L. D. Molag}, J. Approx. Theory 263, Article ID 105536, 37 p. (2021; Zbl 1456.30070) Full Text: DOI arXiv OpenURL
Zhang, Changgui A modular-type formula for \((x;q)_\infty \). (English) Zbl 1441.11089 Ramanujan J. 46, No. 1, 269-305 (2018). MSC: 11F20 11F27 30D05 33E05 05A30 PDF BibTeX XML Cite \textit{C. Zhang}, Ramanujan J. 46, No. 1, 269--305 (2018; Zbl 1441.11089) Full Text: DOI OpenURL
Vyugin, I. V.; Levin, R. I. On the Riemann-Hilbert problem for difference and \(q\)-difference systems. (English. Russian original) Zbl 1378.39003 Proc. Steklov Inst. Math. 297, 297-313 (2017); translation from Tr. Mat. Inst. Steklova 297, 326-343 (2017). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 39A06 39A10 39A13 39A23 PDF BibTeX XML Cite \textit{I. V. Vyugin} and \textit{R. I. Levin}, Proc. Steklov Inst. Math. 297, 297--313 (2017; Zbl 1378.39003); translation from Tr. Mat. Inst. Steklova 297, 326--343 (2017) Full Text: DOI arXiv OpenURL
Ormerod, Chris M.; Rains, Eric M. An elliptic Garnier system. (English) Zbl 1394.39001 Commun. Math. Phys. 355, No. 2, 741-766 (2017). Reviewer: Raghib Abu-Saris (Edmonton) MSC: 39A06 PDF BibTeX XML Cite \textit{C. M. Ormerod} and \textit{E. M. Rains}, Commun. Math. Phys. 355, No. 2, 741--766 (2017; Zbl 1394.39001) Full Text: DOI arXiv OpenURL
Stević, Stevo Asymptotic behavior of solutions of a system of \(q\)-functional-difference equations. (English) Zbl 1334.39028 Appl. Math. Comput. 235, 538-545 (2014). MSC: 39A13 PDF BibTeX XML Cite \textit{S. Stević}, Appl. Math. Comput. 235, 538--545 (2014; Zbl 1334.39028) Full Text: DOI OpenURL
Boalch, Philip Poisson varieties from Riemann surfaces. (English) Zbl 1305.53001 Indag. Math., New Ser. 25, No. 5, 872-900 (2014). MSC: 53-02 53D17 PDF BibTeX XML Cite \textit{P. Boalch}, Indag. Math., New Ser. 25, No. 5, 872--900 (2014; Zbl 1305.53001) Full Text: DOI arXiv OpenURL
Stokman, Jasper V. Connection coefficients for basic Harish-Chandra series. (English) Zbl 1320.33030 Adv. Math. 250, 351-386 (2014). MSC: 33D52 33D67 PDF BibTeX XML Cite \textit{J. V. Stokman}, Adv. Math. 250, 351--386 (2014; Zbl 1320.33030) Full Text: DOI arXiv OpenURL
Li, Xianyi; Zhang, Changgui Existence of analytic solutions to analytic nonlinear \(q\)-difference equations. (English) Zbl 1207.39011 J. Math. Anal. Appl. 375, No. 2, 412-417 (2011). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 39A13 PDF BibTeX XML Cite \textit{X. Li} and \textit{C. Zhang}, J. Math. Anal. Appl. 375, No. 2, 412--417 (2011; Zbl 1207.39011) Full Text: DOI OpenURL
Si, Jianguo; Zhao, Houyu Small divisor problem in dynamical systems and analytic solutions of a \(q\)-difference equation with a singularity at the origin. (English) Zbl 1210.39005 Result. Math. 58, No. 3-4, 337-353 (2010). Reviewer: Roman Šimon Hilscher (Brno) MSC: 39A13 PDF BibTeX XML Cite \textit{J. Si} and \textit{H. Zhao}, Result. Math. 58, No. 3--4, 337--353 (2010; Zbl 1210.39005) Full Text: DOI OpenURL
Xu, Bing; Zhang, Weinian Small divisor problem for an analytic \(q\)-difference equation. (English) Zbl 1146.39035 J. Math. Anal. Appl. 342, No. 1, 694-703 (2008). Reviewer: Pavel Rehak (Brno) MSC: 39A13 39B32 39B12 PDF BibTeX XML Cite \textit{B. Xu} and \textit{W. Zhang}, J. Math. Anal. Appl. 342, No. 1, 694--703 (2008; Zbl 1146.39035) Full Text: DOI OpenURL
Krichever, Igor M.; Phong, Duong Hong On the scaling limit of a singular integral operator. (English) Zbl 1138.45008 Geom. Dedicata 132, 121-134 (2008). MSC: 45P05 45E10 39A05 44A15 PDF BibTeX XML Cite \textit{I. M. Krichever} and \textit{D. H. Phong}, Geom. Dedicata 132, 121--134 (2008; Zbl 1138.45008) Full Text: DOI arXiv OpenURL
Levin, Alexander B. Difference algebra. (English) Zbl 1209.12004 Hazewinkel, M. (ed.), Handbook of algebra. Volume 4. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-52213-9/hbk). Handbook of Algebra 4, 241-334 (2006). Reviewer: Florin Nicolae (Berlin) MSC: 12H10 12-02 PDF BibTeX XML Cite \textit{A. B. Levin}, Handb. Algebra 4, 241--334 (2006; Zbl 1209.12004) Full Text: DOI OpenURL
Katsnelson, Victor; Volok, Dan Deformations of Fuchsian systems of linear differential equations and the Schlesinger system. (English) Zbl 1190.34118 Math. Phys. Anal. Geom. 9, No. 2, 135-186 (2006). Reviewer: Masaaki Yoshida (Fukuoka) MSC: 34M56 47A56 PDF BibTeX XML Cite \textit{V. Katsnelson} and \textit{D. Volok}, Math. Phys. Anal. Geom. 9, No. 2, 135--186 (2006; Zbl 1190.34118) Full Text: DOI arXiv OpenURL
Roques, Julien Rational classification and confluence of regular singular difference systems. (Classification rationnelle et confluence des systèmes aux différences singuliers réguliers.) (French) Zbl 1125.39019 Ann. Inst. Fourier 56, No. 6, 1663-1699 (2006). Reviewer: Jean Mawhin (Louvain-La-Neuve) MSC: 39A12 39A70 34M35 34M40 PDF BibTeX XML Cite \textit{J. Roques}, Ann. Inst. Fourier 56, No. 6, 1663--1699 (2006; Zbl 1125.39019) Full Text: DOI arXiv Numdam EuDML OpenURL
Sauloy, Jacques Galois theory of Fuchsian \(q\)-difference equations. (English) Zbl 1053.39033 Ann. Sci. Éc. Norm. Supér. (4) 36, No. 6, 925-968 (2003). Reviewer: Lothar Berg (Rostock) MSC: 12H10 39A13 32G34 39A05 PDF BibTeX XML Cite \textit{J. Sauloy}, Ann. Sci. Éc. Norm. Supér. (4) 36, No. 6, 925--968 (2003; Zbl 1053.39033) Full Text: DOI arXiv Numdam EuDML OpenURL
Zhang, Changgui About Jackson \(q\)-Bessel functions. (Sur les fonctions \(q\)-Bessel de Jackson.) (French) Zbl 1023.33012 J. Approximation Theory 122, No. 2, 208-223 (2003). Reviewer: Y.Ben Cheikh (Monastir) MSC: 33D15 PDF BibTeX XML Cite \textit{C. Zhang}, J. Approx. Theory 122, No. 2, 208--223 (2003; Zbl 1023.33012) Full Text: DOI OpenURL
Sauloy, Jacques Systèmes aux \(q\)-différences singuliers réguliers : classification, matrice de connexion et monodromie. (Regular singular \(q\)-difference systems: Classification, connection matrix and monodromy). (French) Zbl 0957.05012 Ann. Inst. Fourier 50, No. 4, 1021-1071 (2000). Reviewer: N.C.Apreutesei (Iasi) MSC: 05A30 39A13 33D15 PDF BibTeX XML Cite \textit{J. Sauloy}, Ann. Inst. Fourier 50, No. 4, 1021--1071 (2000; Zbl 0957.05012) Full Text: DOI arXiv Numdam EuDML OpenURL
Zhang, Changgui Développements asymptotiques \(q\)-Gevrey et séries \(Gq\)-sommables. (\(q\)-Gevrey asymptotic expansions and \(Gq\)-summable series.). (French) Zbl 0974.39009 Ann. Inst. Fourier 49, No. 1, 227-261 (1999). MSC: 39A13 30D05 33D15 39B22 40G99 PDF BibTeX XML Cite \textit{C. Zhang}, Ann. Inst. Fourier 49, No. 1, 227--261 (1999; Zbl 0974.39009) Full Text: DOI Numdam EuDML OpenURL
Gorenflo, Norbert Transformation of an axialsymmetric disk problem for the Helmholtz equation into an ordinary differential equation. (English) Zbl 0915.45005 Integral Equations Oper. Theory 32, No. 2, 180-198 (1998). Reviewer: J.Elschner (Berlin) MSC: 45H05 35J05 34B30 PDF BibTeX XML Cite \textit{N. Gorenflo}, Integral Equations Oper. Theory 32, No. 2, 180--198 (1998; Zbl 0915.45005) Full Text: DOI OpenURL
Etingof, Pavel I.; Frenkel, Igor B. Central extensions of current groups in two dimensions. (English) Zbl 0822.22014 Commun. Math. Phys. 165, No. 3, 429-444 (1994). Reviewer: A.N.Pressley (London) MSC: 22E67 81T40 58B20 81R10 57S05 PDF BibTeX XML Cite \textit{P. I. Etingof} and \textit{I. B. Frenkel}, Commun. Math. Phys. 165, No. 3, 429--444 (1994; Zbl 0822.22014) Full Text: DOI arXiv OpenURL
Mimachi, Katsuhisa Holonomic \(q\)-difference system of the first order associated with a Jackson integral of Selberg type. (English) Zbl 0801.39003 Duke Math. J. 73, No. 2, 453-468 (1994). Reviewer: L.Berg (Rostock) MSC: 39A70 39A12 33D80 PDF BibTeX XML Cite \textit{K. Mimachi}, Duke Math. J. 73, No. 2, 453--468 (1994; Zbl 0801.39003) Full Text: DOI OpenURL
Lukierski, Jerzy; Nowicki, Anatol; Ruegg, Henri Quantum Poincaré algebra with standard real structure. (English) Zbl 0785.17021 J. Geom. Phys. 11, 425-436 (1993). MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{J. Lukierski} et al., J. Geom. Phys. 11, 425--436 (1993; Zbl 0785.17021) Full Text: DOI OpenURL
Bézivin, Jean-Paul On \(q\)- difference functional equations. (Sur les équations fonctionnelles aux \(q\)-différences.) (French) Zbl 0757.39002 Aequationes Math. 43, No. 2-3, 159-176 (1992). Reviewer: S.L.Segal (Rochester) MSC: 39B12 39B32 30D05 PDF BibTeX XML Cite \textit{J.-P. Bézivin}, Aequationes Math. 43, No. 2--3, 159--176 (1992; Zbl 0757.39002) Full Text: DOI EuDML OpenURL
Pen’kov, V. B.; Tolokonnikov, L. A. Rigorous solutions of two-dimensional problems of the mechanics of a deformable solid body. (English. Russian original) Zbl 0794.73080 Int. Appl. Mech. 28, No. 10, 615-632 (1992); translation from Prikl. Mekh., Kiev 28, No. 10, 3-21 (1992). MSC: 74S30 35Q72 31A30 74-02 PDF BibTeX XML Cite \textit{V. B. Pen'kov} and \textit{L. A. Tolokonnikov}, Int. Appl. Mech. 28, No. 10, 3--21 (1992; Zbl 0794.73080); translation from Prikl. Mekh., Kiev 28, No. 10, 3--21 (1992) Full Text: DOI OpenURL
Ramis, Jean-Pierre About the growth of entire functions solutions of linear algebraic \(q\)- difference equations. (English) Zbl 0796.39005 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 1, No. 1, 53-94 (1992). Reviewer: F.Gramain (Saint-Etienne) MSC: 39A10 30D15 30D05 39B32 PDF BibTeX XML Cite \textit{J.-P. Ramis}, Ann. Fac. Sci. Toulouse, Math. (6) 1, No. 1, 53--94 (1992; Zbl 0796.39005) Full Text: DOI Numdam EuDML OpenURL
Reshetikhin, N. Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system. (English) Zbl 0776.17015 Lett. Math. Phys. 26, No. 3, 153-165 (1992). Reviewer: Anatoli Klimyk (Kyïv) MSC: 17B37 33D70 39A99 17B38 PDF BibTeX XML Cite \textit{N. Reshetikhin}, Lett. Math. Phys. 26, No. 3, 153--165 (1992; Zbl 0776.17015) Full Text: DOI OpenURL
Martinet, Jean; Ramis, Jean-Pierre Elementary acceleration and multisummability. I. (English) Zbl 0748.12005 Ann. Inst. Henri Poincaré, Phys. Théor. 54, No. 4, 331-401 (1991). Reviewer: N.V.Grigorenko (Kiev) MSC: 12H05 34M99 34A30 34A25 PDF BibTeX XML Cite \textit{J. Martinet} and \textit{J.-P. Ramis}, Ann. Inst. Henri Poincaré, Phys. Théor. 54, No. 4, 331--401 (1991; Zbl 0748.12005) Full Text: Numdam EuDML OpenURL
Immink, Gertrude K. On meromorphic equivalence of linear difference operators. (English) Zbl 0697.39006 Ann. Inst. Fourier 40, No. 3, 683-699 (1990). Reviewer: G.K.Immink MSC: 39A70 30E25 PDF BibTeX XML Cite \textit{G. K. Immink}, Ann. Inst. Fourier 40, No. 3, 683--699 (1990; Zbl 0697.39006) Full Text: DOI Numdam EuDML OpenURL
Its, A. R.; Novokshenov, V. Yu. Effective sufficient conditions for the solvability of the inverse problem of monodromy theory for systems of linear ordinary differential equations. (English. Russian original) Zbl 0810.34012 Funct. Anal. Appl. 22, No. 3, 190-200 (1988); translation from Funkts. Anal. Prilozh. 22, No. 3, 25-36 (1988). MSC: 34A55 PDF BibTeX XML Cite \textit{A. R. Its} and \textit{V. Yu. Novokshenov}, Funct. Anal. Appl. 22, No. 3, 190--200 (1988; Zbl 0810.34012); translation from Funkts. Anal. Prilozh. 22, No. 3, 25--36 (1988) Full Text: DOI OpenURL
Majima, Hideyuki Riemann-Hilbert-Birkhoff problem for integrable connections with irregular singular points. (English) Zbl 0573.58003 Proc. Japan Acad., Ser. A 59, 191-194 (1983). Reviewer: S.Tajima MSC: 58A17 35C20 32L10 PDF BibTeX XML Cite \textit{H. Majima}, Proc. Japan Acad., Ser. A 59, 191--194 (1983; Zbl 0573.58003) Full Text: DOI OpenURL
Sibuya, Yasutaka Stokes phenomena. (English) Zbl 0386.34008 Bull. Am. Math. Soc. 83, 1075-1077 (1977). MSC: 34M99 PDF BibTeX XML Cite \textit{Y. Sibuya}, Bull. Am. Math. Soc. 83, 1075--1077 (1977; Zbl 0386.34008) Full Text: DOI OpenURL
Andrews, George E. A general theory of identities of the Rogers-Ramanujan type. (English) Zbl 0301.10016 Bull. Am. Math. Soc. 80, 1033-1052 (1974). Reviewer: George E. Andrews (University Park) MSC: 11P81 11P84 11-02 05A17 33C05 05A15 05A19 PDF BibTeX XML Cite \textit{G. E. Andrews}, Bull. Am. Math. Soc. 80, 1033--1052 (1974; Zbl 0301.10016) Full Text: DOI OpenURL
Röhrl, Helmut Das Riemann-Hilbertsche Problem der Theorie der linearen Differentialgleichungen. (German) Zbl 0088.06001 Math. Ann. 133, 1-25 (1957); Druckfehlerberichtigung ibid. 472 (1957). Reviewer: M. Hervé MSC: 34-XX PDF BibTeX XML Cite \textit{H. Röhrl}, Math. Ann. 133, 1--25 (1957; Zbl 0088.06001) Full Text: DOI EuDML OpenURL
Höfinger, E. Zur Theorie der hypergeometrischen Funktionen. (German) Zbl 0046.29701 Monatsh. Math. 56, 126-136 (1952). PDF BibTeX XML Cite \textit{E. Höfinger}, Monatsh. Math. 56, 126--136 (1952; Zbl 0046.29701) Full Text: DOI EuDML OpenURL
Trjitzinsky, W. J. Analytic theory of linear differential equations. (English) JFM 60.1109.01 Acta Math. 62, 167-226 (1934). Reviewer: Schmidt, Hermann, Prof. (Jena) PDF BibTeX XML Cite \textit{W. J. Trjitzinsky}, Acta Math. 62, 167--226 (1934; JFM 60.1109.01) Full Text: DOI OpenURL
Trjitzinsky, W. J. Analytic theory of linear differential equations. (English) Zbl 0008.25501 Acta Math. 62, 167-226 (1933). PDF BibTeX XML Cite \textit{W. J. Trjitzinsky}, Acta Math. 62, 167--226 (1933; Zbl 0008.25501) Full Text: DOI OpenURL
Franklin, P. Functions of a complex variable with assigned derivatives at an infinite number of points, and an analogue of Mittag-Leffler’s theorem. (English) JFM 52.0303.01 Acta math. 47, 371-385 (1926). Reviewer: Grunsky, H., Dr. (Berlin) PDF BibTeX XML Cite \textit{P. Franklin}, Acta Math. 47, 371--385 (1926; JFM 52.0303.01) Full Text: DOI OpenURL