Allahverdiev, Bilender P.; Tuna, Hüseyin On square integrable solutions of a Hahn-Dirac system. (English) Zbl 1509.39004 Rend. Circ. Mat. Palermo (2) 72, No. 1, 9-20 (2023). Reviewer: Wengui Yang (Sanmenxia) MSC: 39A13 33D15 34B20 34L40 PDFBibTeX XMLCite \textit{B. P. Allahverdiev} and \textit{H. Tuna}, Rend. Circ. Mat. Palermo (2) 72, No. 1, 9--20 (2023; Zbl 1509.39004) Full Text: DOI
Park, Kanam A certain generalization of \(q\)-hypergeometric functions and their related connection preserving deformation. II. (English) Zbl 07662509 Funkc. Ekvacioj, Ser. Int. 65, No. 3, 311-328 (2022). MSC: 33D60 33D70 33D15 33E17 39A13 PDFBibTeX XMLCite \textit{K. Park}, Funkc. Ekvacioj, Ser. Int. 65, No. 3, 311--328 (2022; Zbl 07662509) Full Text: DOI arXiv
Idomoto, Taiki; Suzuki, Takao An affine Weyl group action on the basic hypergeometric series arising from the \(q\)-Garnier system. (English) Zbl 1521.17088 Lett. Math. Phys. 112, No. 6, Paper No. 121, 22 p. (2022). MSC: 17B80 33D15 34M56 39A13 PDFBibTeX XMLCite \textit{T. Idomoto} and \textit{T. Suzuki}, Lett. Math. Phys. 112, No. 6, Paper No. 121, 22 p. (2022; Zbl 1521.17088) Full Text: DOI arXiv
Sakhnovich, Alexander Discrete self-adjoint Dirac systems: asymptotic relations, Weyl functions and Toeplitz matrices. (English) Zbl 1486.39024 Constr. Approx. 55, No. 2, 641-659 (2022). MSC: 39A45 15B05 30E10 34B20 39A12 33C45 PDFBibTeX XMLCite \textit{A. Sakhnovich}, Constr. Approx. 55, No. 2, 641--659 (2022; Zbl 1486.39024) Full Text: DOI arXiv
Allahverdiev, B. P.; Tuna, Hüseyin Spectral analysis of Hahn-Dirac system. (English) Zbl 1485.39007 Proyecciones 40, No. 6, 1547-1567 (2021). MSC: 39A13 39A70 33D15 34B27 34L10 34L40 47A10 PDFBibTeX XMLCite \textit{B. P. Allahverdiev} and \textit{H. Tuna}, Proyecciones 40, No. 6, 1547--1567 (2021; Zbl 1485.39007) Full Text: DOI
Hıra, Fatma Sampling theorem associated with Dirac system of the Hahn difference operator. (English) Zbl 1466.94014 Appl. Math. E-Notes 20, 115-123 (2020). MSC: 94A20 33D15 35Q41 34L20 39A70 PDFBibTeX XMLCite \textit{F. Hıra}, Appl. Math. E-Notes 20, 115--123 (2020; Zbl 1466.94014) Full Text: Link
Ito, Masahiko; Takushi, Yamato \(q\)-difference equations for \(q\)-hypergeometric integrals of type \(G_2\). (English) Zbl 1465.33016 Ryukyu Math. J. 33, 1-59 (2020). Reviewer: Christoph Koutschan (Linz) MSC: 33D60 39A13 PDFBibTeX XMLCite \textit{M. Ito} and \textit{Y. Takushi}, Ryukyu Math. J. 33, 1--59 (2020; Zbl 1465.33016) Full Text: Link
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
Hıra, Fatma Dirac system associated with Hahn difference operator. (English) Zbl 1470.39019 Bull. Malays. Math. Sci. Soc. (2) 43, No. 5, 3481-3497 (2020). Reviewer: Risto Korhonen (Joensuu) MSC: 39A13 39A70 39A12 34B09 33D15 PDFBibTeX XMLCite \textit{F. Hıra}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 5, 3481--3497 (2020; Zbl 1470.39019) Full Text: DOI arXiv
Ito, Masahiko; Noumi, Masatoshi Elliptic extension of Gustafson’s \(q\)-integral of type \(G_2\). (English) Zbl 1442.33010 Adv. Math. 370, Article ID 107211, 39 p. (2020). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33D67 33D65 39A13 PDFBibTeX XMLCite \textit{M. Ito} and \textit{M. Noumi}, Adv. Math. 370, Article ID 107211, 39 p. (2020; Zbl 1442.33010) Full Text: DOI arXiv
van Diejen, J. F.; Emsiz, E. Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions. (English) Zbl 1434.35137 J. Differ. Equations 268, No. 8, 4525-4543 (2020). MSC: 35Q40 33C67 35C05 35P10 39A14 81Q80 81R12 37K10 PDFBibTeX XMLCite \textit{J. F. van Diejen} and \textit{E. Emsiz}, J. Differ. Equations 268, No. 8, 4525--4543 (2020; Zbl 1434.35137) Full Text: DOI
Nagao, Hidehito; Yamada, Yasuhiko Study of \(q\)-Garnier system by Padé method. (English) Zbl 1423.14218 Funkc. Ekvacioj, Ser. Int. 61, No. 1, 109-133 (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 14H70 33D15 33D70 34M55 37K20 39A13 39A20 41A05 41A20 41A21 PDFBibTeX XMLCite \textit{H. Nagao} and \textit{Y. Yamada}, Funkc. Ekvacioj, Ser. Int. 61, No. 1, 109--133 (2018; Zbl 1423.14218) Full Text: DOI arXiv
Park, K. A certain generalization of \(q\)-hypergeometric functions and their related monodromy preserving deformation. (English) Zbl 1422.39030 J. Integrable Syst. 3, Article ID xyy019, 14 p. (2018). MSC: 39A13 33D60 33D05 PDFBibTeX XMLCite \textit{K. Park}, J. Integrable Syst. 3, Article ID xyy019, 14 p. (2018; Zbl 1422.39030) Full Text: DOI arXiv
Allahverdiev, Bilender P.; Tuna, Hüseyin Dissipative \(q\)-Dirac operator with general boundary conditions. (English) Zbl 06866037 Quaest. Math. 41, No. 2, 239-255 (2018). MSC: 47A20 47A40 47B25 47B44 33D15 34L10 39A13 34L40 PDFBibTeX XMLCite \textit{B. P. Allahverdiev} and \textit{H. Tuna}, Quaest. Math. 41, No. 2, 239--255 (2018; Zbl 06866037) Full Text: DOI
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
Abramov, Sergey A.; Petkovšek, Marko; Ryabenko, Anna A. Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order. (English) Zbl 1379.39001 Comput. Math. Math. Phys. 56, No. 5, 894-910 (2016). Reviewer: Petr Zemánek (Brno) MSC: 39A06 34A30 39A12 68W40 65L99 65Q10 PDFBibTeX XMLCite \textit{S. A. Abramov} et al., Comput. Math. Math. Phys. 56, No. 5, 894--910 (2016; Zbl 1379.39001) Full Text: DOI
Suzuki, Takao A \(q\)-analogue of the Drinfeld-Sokolov hierarchy of type \(A\) and \(q\)-Painlevé system. (English) Zbl 1346.39010 Dzhamay, Anton (ed.) et al., Algebraic and analytic aspects of integrable systems and Painlevé equations. AMS special session, Baltimore, MD, USA, January 18, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1654-6/pbk; 978-1-4704-2779-5/ebook). Contemporary Mathematics 651, 25-38 (2015). MSC: 39A12 39A13 34M55 37K10 37K35 33D15 PDFBibTeX XMLCite \textit{T. Suzuki}, Contemp. Math. 651, 25--38 (2015; Zbl 1346.39010) Full Text: DOI arXiv
Area, I.; Atakishiyev, N.; Godoy, E.; Rodal, J. Linear partial \(q\)-difference equations on \(q\)-linear lattices and their bivariate \(q\)-orthogonal polynomial solutions. (English) Zbl 1329.39011 Appl. Math. Comput. 223, 520-536 (2013). MSC: 39A13 33D45 PDFBibTeX XMLCite \textit{I. Area} et al., Appl. Math. Comput. 223, 520--536 (2013; Zbl 1329.39011) Full Text: DOI arXiv
Gutnik, L. A. On a difference system for some Mejer’s functions. (English) Zbl 1297.33011 Int. J. Pure Appl. Math. 89, No. 3, 409-432 (2013). MSC: 33C60 39A99 PDFBibTeX XMLCite \textit{L. A. Gutnik}, Int. J. Pure Appl. Math. 89, No. 3, 409--432 (2013; Zbl 1297.33011) Full Text: DOI Link
Ikawa, Yusuke Hypergeometric solutions for the \(q\)-Painlevé equation of type \({E^{(1)}_6}\) by the Padé method. (English) Zbl 1280.39008 Lett. Math. Phys. 103, No. 7, 743-763 (2013). Reviewer: Jacques Sauloy (Toulouse) MSC: 39A13 41A21 34M55 37K35 PDFBibTeX XMLCite \textit{Y. Ikawa}, Lett. Math. Phys. 103, No. 7, 743--763 (2013; Zbl 1280.39008) Full Text: DOI arXiv
Ruijsenaars, Simon A relativistic conical function and its Whittaker limits. (English) Zbl 1244.33001 SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 101, 54 p. (2011). MSC: 33C05 33E30 39A10 81Q05 81Q80 PDFBibTeX XMLCite \textit{S. Ruijsenaars}, SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 101, 54 p. (2011; Zbl 1244.33001) Full Text: DOI arXiv
Al-Salman, Ahmad; Ben Haj Rhouma, Mohamed; Al-Jarrah, Ali A. On integrals and sums involving special functions. (English) Zbl 1248.33029 Missouri J. Math. Sci. 23, No. 2, 123-141 (2011). MSC: 33D15 40C15 34B30 39A13 PDFBibTeX XMLCite \textit{A. Al-Salman} et al., Missouri J. Math. Sci. 23, No. 2, 123--141 (2011; Zbl 1248.33029)
Branquinho, A.; Rebocho, M. N. Difference and differential equations for deformed Laguerre-Hahn orthogonal polynomials on the unit circle. (English) Zbl 1269.33011 J. Phys. A, Math. Theor. 44, No. 46, Article ID 465204, 12 p. (2011). Reviewer: Tatiana Hessami Pilehrood (Mogilev) MSC: 33C45 39B42 PDFBibTeX XMLCite \textit{A. Branquinho} and \textit{M. N. Rebocho}, J. Phys. A, Math. Theor. 44, No. 46, Article ID 465204, 12 p. (2011; Zbl 1269.33011) Full Text: DOI
Nakazono, Nobutaka Hypergeometric \(\tau \) functions of the \(q\)-Painlevé systems of type \((A_{2}+A_{1})^{(1)}\). (English) Zbl 1217.33027 SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 084, 16 p. (2010). MSC: 33D05 33D15 33E17 39A13 PDFBibTeX XMLCite \textit{N. Nakazono}, SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 084, 16 p. (2010; Zbl 1217.33027) Full Text: DOI arXiv
Rodal, J.; Area, I.; Godoy, E. Linear partial difference equations of hypergeometric type: orthogonal polynomial solutions in two discrete variables. (English) Zbl 1113.33016 J. Comput. Appl. Math. 200, No. 2, 722-748 (2007). Reviewer: Alexei Lukashov (Istanbul) MSC: 33C70 39A12 42C05 PDFBibTeX XMLCite \textit{J. Rodal} et al., J. Comput. Appl. Math. 200, No. 2, 722--748 (2007; Zbl 1113.33016) Full Text: DOI
Sakai, Hidetaka A \(q\)-analog of the Garnier system. (English) Zbl 1117.33014 Funkc. Ekvacioj, Ser. Int. 48, No. 2, 273-297 (2005). MSC: 33E17 34M55 39A12 39A13 33D15 PDFBibTeX XMLCite \textit{H. Sakai}, Funkc. Ekvacioj, Ser. Int. 48, No. 2, 273--297 (2005; Zbl 1117.33014) Full Text: DOI
Iwasaki, Katsunori Cohomology groups for recurrence relations and contiguity relations of hypergeometric systems. (English) Zbl 1035.39012 J. Math. Soc. Japan 55, No. 2, 289-321 (2003). Reviewer: Ondřej Došlý (Brno) MSC: 39A12 33C10 PDFBibTeX XMLCite \textit{K. Iwasaki}, J. Math. Soc. Japan 55, No. 2, 289--321 (2003; Zbl 1035.39012) Full Text: DOI
Kikuchi, Tetsuya Diagonalization of the elliptic Macdonald-Ruijsenaars difference system of type \(C_ 2\). (English) Zbl 1051.39021 J. Phys. A, Math. Gen. 34, No. 26, 5389-5401 (2001). MSC: 39A70 17B37 33D80 37K30 81R12 81R50 PDFBibTeX XMLCite \textit{T. Kikuchi}, J. Phys. A, Math. Gen. 34, No. 26, 5389--5401 (2001; Zbl 1051.39021) Full Text: DOI arXiv
Wadati, Miki; Nishino, Akinori; Ujino, Hideaki; Komori, Yasushi Symmetric and non-symmetric bases of quantum integrable particle systems with long-range interactions. (English) Zbl 0981.81076 J. Stat. Phys. 102, No. 3-4, 1049-1064 (2001). MSC: 81V70 81R12 33C99 37K99 39A12 PDFBibTeX XMLCite \textit{M. Wadati} et al., J. Stat. Phys. 102, No. 3--4, 1049--1064 (2001; Zbl 0981.81076) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Sauloy}, Ann. Inst. Fourier 50, No. 4, 1021--1071 (2000; Zbl 0957.05012) Full Text: DOI arXiv Numdam EuDML
Kuznetsov, Yu. I. Complement of Jacobi matrix. (Russian) Zbl 0933.35045 Sib. Zh. Vychisl. Mat. 2, No. 2, 161-170 (1999). Reviewer: I.V.Lobiv (Novosibirsk) MSC: 35F05 15B57 39A12 PDFBibTeX XMLCite \textit{Yu. I. Kuznetsov}, Sib. Zh. Vychisl. Mat. 2, No. 2, 161--170 (1999; Zbl 0933.35045)
Vinet, Luc; Zhedanov, Alexei An integrable system connected with the Uvarov-Chihara problem for orthogonal polynomials. (English) Zbl 0942.42017 J. Phys. A, Math. Gen. 31, No. 47, 9579-9591 (1998). MSC: 42C05 37J35 39A12 33C45 82C20 PDFBibTeX XMLCite \textit{L. Vinet} and \textit{A. Zhedanov}, J. Phys. A, Math. Gen. 31, No. 47, 9579--9591 (1998; Zbl 0942.42017) Full Text: DOI
van Diejen, J. F. On the diagonalization of difference Calogero-Sutherland systems. (English) Zbl 0858.39009 Levi, Decio (ed.) et al., Symmetries and integrability of difference equations. Papers from the workshop, May 22–29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 9, 79-89 (1996). MSC: 39A70 47A75 81Q99 47B39 33D70 PDFBibTeX XMLCite \textit{J. F. van Diejen}, in: Symmetries and integrability of difference equations. Papers from the workshop, May 22--29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. 79--89 (1996; Zbl 0858.39009) Full Text: arXiv
van Diejen, J. F. Commuting difference operators with polynomial eigenfunctions. (English) Zbl 0838.33010 Compos. Math. 95, No. 2, 183-233 (1995). Reviewer: Shen Guangyu (Shanghai) MSC: 33C80 17B20 39A70 33C50 PDFBibTeX XMLCite \textit{J. F. van Diejen}, Compos. Math. 95, No. 2, 183--233 (1995; Zbl 0838.33010) Full Text: arXiv Numdam EuDML
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 PDFBibTeX XMLCite \textit{K. Mimachi}, Duke Math. J. 73, No. 2, 453--468 (1994; Zbl 0801.39003) Full Text: DOI
Mimachi, Katsuhisa Holonomic \(q\)-difference system associated with the basic hypergeometric series \(_{n+1}\varphi_ n\). (English) Zbl 0797.33015 Tôhoku Math. J., II. Ser. 45, No. 4, 485-490 (1993). Reviewer: A.Klimyk (Kiev) MSC: 33D70 05A30 33D15 33D20 39A12 PDFBibTeX XMLCite \textit{K. Mimachi}, Tôhoku Math. J. (2) 45, No. 4, 485--490 (1993; Zbl 0797.33015) Full Text: DOI
Fruchard, Augustin Canards and rakes. (Canards et râteux.) (French) Zbl 0756.39003 Ann. Inst. Fourier 42, No. 4, 825-855 (1992). Reviewer: A.Fruchard MSC: 39A10 93C55 33C15 PDFBibTeX XMLCite \textit{A. Fruchard}, Ann. Inst. Fourier 42, No. 4, 825--855 (1992; Zbl 0756.39003) Full Text: DOI Numdam EuDML
Jäger, Rolf Charakterisierung des Cotangens mit Replikativität. (German) Zbl 0589.39008 Manuscr. Math. 56, 167-175 (1986). MSC: 39B99 33B10 33C05 11M35 PDFBibTeX XMLCite \textit{R. Jäger}, Manuscr. Math. 56, 167--175 (1985; Zbl 0589.39008) Full Text: DOI EuDML
Belov, B. I. Solution of a system of functional equations and its use for the determination of \(\lim_{k\rightarrow\infty }(| a(k)|)^{1/k}\). (Russian) Zbl 0546.39006 Methods of optimization and their applications, Work Collect., Novosibirsk 1982, 146-154 (1982). MSC: 39B99 39B62 26A12 33C45 PDFBibTeX XML
Il’evskij, L. I. Solutions of a system of functional equations in the class of meromorphic functions. (English) Zbl 0491.30017 Sib. Math. J. 21, 883-890 (1981). MSC: 30D05 33C45 39B62 PDFBibTeX XMLCite \textit{L. I. Il'evskij}, Sib. Math. J. 21, 883--890 (1981; Zbl 0491.30017) Full Text: DOI
Il’evskij, L. I. On the solutions of some system of functional equations in the class of meromorphic functions. (Russian) Zbl 0481.30022 Sib. Mat. Zh. 21, No. 6, 176-185 (1980). MSC: 30D05 33C45 39B62 PDFBibTeX XMLCite \textit{L. I. Il'evskij}, Sib. Mat. Zh. 21, No. 6, 176--185 (1980; Zbl 0481.30022) Full Text: EuDML
Watanabe, Toshihiro On a difference system of the integrals of Pochhammer. (English) Zbl 0475.39007 Proc. Japan Acad., Ser. A 56, 433-437 (1980). MSC: 39A10 30D05 33C60 PDFBibTeX XMLCite \textit{T. Watanabe}, Proc. Japan Acad., Ser. A 56, 433--437 (1980; Zbl 0475.39007) Full Text: DOI