Edit Profile (opens in new tab) Zhedanov, Alexei S. Co-Author Distance Author ID: zhedanov.alexei-s Published as: Zhedanov, Alexei; Zhedanov, A. S.; Zhedanov, A.; Zhedanov, Alexei S.; Zhedanov, Alezey more...less External Links: ResearchGate · Math-Net.Ru · dblp Documents Indexed: 197 Publications since 1991, including 17 Additional arXiv Preprints Co-Authors: 50 Co-Authors with 170 Joint Publications 1,022 Co-Co-Authors all top 5 Co-Authors 27 single-authored 125 Vinet, Luc 35 Genest, Vincent X. 25 Spiridonov, Vyacheslav Pavlovich 22 Tsujimoto, Satoshi 9 Gaboriaud, Julien 8 Miki, Hiroshi 7 Granovskij, Ya. I. 5 Baseilhac, Pascal 5 Bergeron, Geoffroy 5 Lemay, Jean-Michel 5 Post, Sarah 5 Yermolayeva, Oksana 4 Derevyagin, Maxim S. 4 Grünbaum, Francisco Alberto 4 Korovnichenko, Alyona 4 Vinet, Stéphane 4 Yu, Guofu 3 Burskii, Vladimir Petrovich 3 Crampé, Nicolas 3 Ismail, Mourad El-Houssieny 2 Harnad, John 2 Kharchev, Sergey 2 Lutzenko, I. M. 2 Mironov, Andrei D. 2 Nakamura, Yoshimasa 2 Pelletier, Jonathan 2 Schérer, Hugo 2 Zaimi, Meri 1 Atakishiev, Natig M. 1 Atakishiyeva, Mesuma K. 1 Beaudoin, André 1 Beckermann, Bernhard 1 Brillant, Antoine 1 Bussière, Ismaël 1 Chang, Xiangke 1 Chea, Vutha Vichhea 1 Christandl, Matthias 1 Coutinho, Gabriel 1 De Bie, Hendrik 1 Frappat, Luc 1 Hu, Xingbiao 1 Loutsenko, Igor M. 1 Luo, Yu 1 Maluk, A. N. 1 Martin, Xavier 1 Peherstorfer, Franz 1 Ragoucy, Eric 1 Sasaki, Ryu 1 Szmigielski, Jacek 1 Zhan, Hanmeng all top 5 Serials 28 Journal of Physics A: Mathematical and Theoretical 18 Journal of Physics A: Mathematical and General 12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 11 Proceedings of the American Mathematical Society 10 Journal of Mathematical Physics 9 Journal of Mathematical Analysis and Applications 8 Journal of Computational and Applied Mathematics 8 The Ramanujan Journal 7 Communications in Mathematical Physics 7 Letters in Mathematical Physics 5 Journal of Approximation Theory 4 Physics Letters. A 4 Theoretical and Mathematical Physics 4 Annals of Physics 4 Methods and Applications of Analysis 3 Modern Physics Letters A 2 International Journal of Modern Physics A 2 Constructive Approximation 2 Integral Transforms and Special Functions 1 Nuclear Physics. B 1 Russian Mathematical Surveys 1 Teoreticheskaya i Matematicheskaya Fizika 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Transactions of the American Mathematical Society 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Annales Henri Poincaré 1 Journal of Nonlinear Mathematical Physics 1 Communications on Pure and Applied Analysis 1 Chebyshevskiĭ Sbornik 1 Forum of Mathematics, Sigma all top 5 Fields 137 Special functions (33-XX) 64 Quantum theory (81-XX) 42 Harmonic analysis on Euclidean spaces (42-XX) 40 Nonassociative rings and algebras (17-XX) 29 Dynamical systems and ergodic theory (37-XX) 20 Difference and functional equations (39-XX) 16 Operator theory (47-XX) 14 Topological groups, Lie groups (22-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Partial differential equations (35-XX) 8 Group theory and generalizations (20-XX) 7 Approximations and expansions (41-XX) 6 Algebraic geometry (14-XX) 6 Ordinary differential equations (34-XX) 5 Number theory (11-XX) 5 Associative rings and algebras (16-XX) 4 Mechanics of particles and systems (70-XX) 3 Combinatorics (05-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Information and communication theory, circuits (94-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Numerical analysis (65-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 154 Publications have been cited 1,948 times in 822 Documents Cited by ▼ Year ▼ Rational spectral transformations and orthogonal polynomials. Zbl 0918.42016 Zhedanov, Alexei 111 1997 “Hidden symmetry” of Askey-Wilson polynomials. Zbl 0782.33012 Zhedanov, A. S. 91 1991 Mutual integrability, quadratic algebras, and dynamical symmetry. Zbl 0875.17002 Granovskij, Ya. I.; Lutzenko, I. M.; Zhedanov, A. S. 63 1992 Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux-Crum transformations. Zbl 1200.33013 Sasaki, Ryu; Tsujimoto, Satoshi; Zhedanov, Alexei 62 2010 Dunkl shift operators and Bannai-Ito polynomials. Zbl 1248.33022 Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 58 2012 Superintegrability in two dimensions and the Racah-Wilson algebra. Zbl 1311.81145 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 55 2014 Discrete Darboux transformations, the discrete-time Toda lattice, and the Askey-Wilson polynomials. Zbl 0859.33017 Spiridonov, Vyacheslav; Zhedanov, Alexei 43 1995 Biorthogonal rational functions and the generalized eigenvalue problem. Zbl 1058.42502 Zhedanov, Alexei 39 1999 Spectral transformation chains and some new biorthogonal rational functions. Zbl 0989.33008 Spiridonov, Vyacheslav; Zhedanov, Alexei 38 2000 A ’missing’ family of classical orthogonal polynomials. Zbl 1222.33011 Vinet, Luc; Zhedanov, Alexei 36 2011 Algebraic Heun operator and band-time limiting. Zbl 1405.33025 Grünbaum, F. Alberto; Vinet, Luc; Zhedanov, Alexei 34 2018 “Hidden symmetry” of Askey-Wilson polynomials. Zbl 0744.33009 Zhedanov, A. S. 32 1991 The Bannai-Ito polynomials as Racah coefficients of the \(sl_{-1}(2)\) algebra. Zbl 1304.17019 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 31 2014 A method of constructing Krall’s polynomials. Zbl 0929.33008 Zhedanov, Alexei 30 1999 The Bannai-Ito algebra and a superintegrable system with reflections on the two-sphere. Zbl 1291.81132 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 29 2014 Para-Krawtchouk polynomials on a bi-lattice and a quantum spin chain with perfect state transfer. Zbl 1251.81021 Vinet, Luc; Zhedanov, Alexei 28 2012 The equitable Racah algebra from three \(\mathfrak {su}(1,1)\) algebras. Zbl 1355.17004 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 28 2014 The Dunkl oscillator in the plane. Part I: Superintegrability, separated wavefunctions and overlap coefficients. Zbl 1267.81139 Genest, Vincent X.; Ismail, Mourad E. H.; Vinet, Luc; Zhedanov, Alexei 28 2013 On some classes of polynomials orthogonal on arcs of the unit circle connected with symmetric orthogonal polynomials on an interval. Zbl 0921.42017 Zhedanov, Alexei 27 1998 Tridiagonalization and the Heun equation. Zbl 1364.34126 Grünbaum, F. Alberto; Vinet, Luc; Zhedanov, Alexei 25 2017 A limit \(q=-1\) for the big \(q\)-Jacobi polynomials. Zbl 1276.33019 Vinet, Luc; Zhedanov, Alexei 25 2012 Discrete-time Volterra chain and classical orthogonal polynomials. Zbl 0928.39007 Spiridonov, Vyacheslav; Zhedanov, Alexei 24 1997 A Laplace-Dunkl equation on \(S^2\) and the Bannai-Ito algebra. Zbl 1311.22030 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 24 2015 Faces of relativistic Toda chain. Zbl 1089.37532 Kharchev, S.; Mironov, A.; Zhedanov, A. 23 1997 The Dunkl oscillator in the plane. II: Representations of the symmetry algebra. Zbl 1292.81041 Genest, Vincent X.; Ismail, Mourad E. H.; Vinet, Luc; Zhedanov, Alexei 23 2014 Linear covariance algebra for \(SL_ q(2)\). Zbl 0784.17019 Granovskij, Ya. I.; Zhedanov, A. S. 22 1993 The “Higgs algebra” as a “quantum” deformation of SU(2). Zbl 1021.81587 Zhedanov, A. S. 22 1992 Quantum spin chains with fractional revival. Zbl 1380.82030 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 21 2016 Tridiagonalization of the hypergeometric operator and the Racah-Wilson algebra. Zbl 1351.33010 Genest, Vincent X.; Ismail, Mourad E. H.; Vinet, Luc; Zhedanov, Alexei 21 2016 Spectral transformations, self-similar reductions and orthogonal polynomials. Zbl 0926.39006 Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 20 1997 The “classical” Laurent biorthogonal polynomials. Zbl 0932.33006 Zhedanov, Alexei 20 1998 Toda chain, Stieltjes function, and orthogonal polynomials. Zbl 1121.37054 Peherstorfer, F.; Spiridonov, V. P.; Zhedanov, A. S. 18 2007 The non-symmetric Wilson polynomials are the Bannai-Ito polynomials. Zbl 1354.33010 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 18 2016 The multivariate Krawtchouk polynomials as matrix elements of the rotation group representations on oscillator states. Zbl 1282.22008 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 18 2013 The Heun-Askey-Wilson algebra and the Heun operator of Askey-Wilson type. Zbl 1423.33027 Baseilhac, Pascal; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 18 2019 Embeddings of the Racah algebra into the Bannai-Itô algebra. Zbl 1318.33027 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 17 2015 The Heun operator of Hahn-type. Zbl 1429.33018 Vinet, Luc; Zhedanov, Alexei 17 2019 Elliptic hypergeometric Laurent biorthogonal polynomials with a dense point spectrum on the unit circle. Zbl 1163.33325 Tsujimoto, Satoshi; Zhedanov, Alexei 16 2009 Automorphisms of the Heisenberg-Weyl algebra and \(d\)-orthogonal polynomials. Zbl 1202.33018 Vinet, Luc; Zhedanov, Alexei 16 2009 From \(\text{sl}_q(2)\) to a parabosonic Hopf algebra. Zbl 1246.17022 Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 15 2011 The Racah algebra as a commutant and Howe duality. Zbl 1411.81112 Gaboriaud, Julien; Vinet, Luc; Vinet, Stéphane; Zhedanov, Alexei 15 2018 Bispectrality of the complementary Bannai-Itō polynomials. Zbl 1272.33010 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 15 2013 Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials. Zbl 1136.37041 Spiridonov, V. P.; Tsujimoto, S.; Zhedanov, A. S. 14 2007 Generalized eigenvalue problem and a new family of rational functions biorthogonal on elliptic grids. Zbl 1039.42022 Spiridonov, V. P.; Zhedanov, A. S. 14 2001 A characterization of classical and semiclassical orthogonal polynomials from their dual polynomials. Zbl 1054.33005 Vinet, Luc; Zhedanov, Alexei 14 2004 The q-Heun operator of big q-Jacobi type and the q-Heun algebra. Zbl 1444.39007 Baseilhac, Pascal; Vinet, Luc; Zhedanov, Alexei 14 2020 Classical biorthogonal rational functions on elliptic grids. Zbl 0974.33016 Spiridonov, Vyacheslav; Zhedanov, Alexei 13 2000 Supersymmetric quantum mechanics with reflections. Zbl 1230.81032 Post, Sarah; Vinet, Luc; Zhedanov, Alexei 13 2011 Difference Schrödinger operators with linear and exponential discrete spectra. Zbl 0790.33017 Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 13 1993 Dual \(-1\) Hahn polynomials: “classical” polynomials beyond the Leonard duality. Zbl 1300.33018 Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 13 2013 An operator approach to multipoint Padé approximations. Zbl 1163.41002 Derevyagin, Maxim S.; Zhedanov, Alexei S. 12 2009 Heun algebras of Lie type. Zbl 1452.17024 Crampé, Nicolas; Vinet, Luc; Zhedanov, Alexei 11 2020 The singular and the 2:1 anisotropic Dunkl oscillators in the plane. Zbl 1273.81089 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 11 2013 Quantum \(\text{SU}_q(2)\) algebra: “Cartesian” version and overlaps. Zbl 1020.17514 Zhedanov, A. S. 10 1992 An integrable chain and bi-orthogonal polynomials. Zbl 0957.37055 Vinet, Luc; Zhedanov, Alexei 10 1998 Special solutions of the Toda chain and combinatorial numbers. Zbl 1050.37039 Nakamura, Yoshimasa; Zhedanov, Alexei 10 2004 A Bochner theorem for Dunkl polynomials. Zbl 1217.33022 Vinet, Luc; Zhedanov, Alexei 10 2011 Persymmetric Jacobi matrices, isospectral deformations and orthogonal polynomials. Zbl 1375.65059 Genest, Vincent X.; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 10 2017 The para-Racah polynomials. Zbl 1333.33025 Lemay, Jean-Michel; Vinet, Luc; Zhedanov, Alexei 10 2016 The linear pencil approach to rational interpolation. Zbl 1193.41001 Beckermann, Bernhard; Derevyagin, Maxim; Zhedanov, Alexei 9 2010 \(d\)-orthogonal polynomials and \(\mathfrak {su}(2)\). Zbl 1238.33004 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 9 2012 On the polynomials orthogonal on regular polygons. Zbl 0932.33002 Zhedanov, Alexei 9 1999 Zeros and orthogonality of the Askey-Wilson polynomials for \(q\) a root of unity. Zbl 0882.33007 Spiridonov, Vyacheslav; Zhedanov, Alexei 9 1997 An analytic spin chain model with fractional revival. Zbl 1351.82044 Lemay, Jean-Michel; Vinet, Luc; Zhedanov, Alexei 9 2016 CMV matrices and little and big \(-1\) Jacobi polynomials. Zbl 1259.42018 Derevyagin, Maxim; Vinet, Luc; Zhedanov, Alexei 9 2012 The Hahn superalgebra and supersymmetric Dunkl oscillator models. Zbl 1280.81060 Genest, Vincent X.; Lemay, Jean-Michel; Vinet, Luc; Zhedanov, Alexei 9 2013 Spectral transformations and generalized Pollaczek polynomials. Zbl 0956.33006 Yermolayeva, Oksana; Zhedanov, Alexei 8 1999 Representations of the Schrödinger group and matrix orthogonal polynomials. Zbl 1227.81173 Vinet, Luc; Zhedanov, Alexei 8 2011 A \(q\)-generalization of the para-Racah polynomials. Zbl 1390.33035 Lemay, Jean-Michel; Vinet, Luc; Zhedanov, Alexei 8 2018 “Leonard pairs” in classical mechanics. Zbl 1039.37047 Zhedanov, Alexei; Korovnichenko, Alyona 8 2002 New construction of \(3nj\)-symbols. Zbl 0856.22031 Granovskij, Ya. I.; Zhedanov, A. S. 8 1993 Tridiagonal representations of the \(q\)-oscillator algebra and Askey-Wilson polynomials. Zbl 1368.81074 Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 8 2017 The quantum superalgebra \(\mathfrak{osp}_q(1| 2)\) and a \(q\)-generalization of the Bannai-Ito polynomials. Zbl 1395.17027 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 8 2016 An embedding of the Bannai-Ito algebra in \(\mathcal U(\mathfrak{osp}(1,2))\) and \(-1\) polynomials. Zbl 1395.81126 Baseilhac, Pascal; Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 8 2018 The algebra of dual \(-1\) Hahn polynomials and the Clebsch-Gordan problem of \(\mathfrak{sl}_{-1}(2)\). Zbl 1280.81071 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 8 2013 Quasi-linear algebras and integrability (the Heisenberg picture). Zbl 1136.17019 Vinet, Luc; Zhedanov, Alexei 7 2008 Szegő polynomials on the real axis. Zbl 0939.33010 Vinet, Luc; Zhedanov, Alexei 7 1999 The \(q\)-Onsager algebra and multivariable \(q\)-special functions. Zbl 1375.81138 Baseilhac, Pascal; Vinet, Luc; Zhedanov, Alexei 7 2017 The Heun-Racah and Heun-Bannai-Ito algebras. Zbl 1472.33011 Bergeron, Geoffroy; Crampé, Nicolas; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 7 2020 Truncation of the reflection algebra and the Hahn algebra. Zbl 1509.17009 Crampé, Nicolas; Ragoucy, Eric; Vinet, Luc; Zhedanov, Alexei 7 2019 Degenerate Sklyanin algebras, Askey-Wilson polynomials and Heun operators. Zbl 1519.81279 Gaboriaud, Julien; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 7 2020 Little and big \(q\)-Jacobi polynomials and the Askey-Wilson algebra. Zbl 1436.81070 Baseilhac, Pascal; Martin, Xavier; Vinet, Luc; Zhedanov, Alexei 7 2020 Generalized Bochner theorem: Characterization of the Askey-Wilson polynomials. Zbl 1140.33006 Vinet, Luc; Zhedanov, Alexei 6 2008 An algebraic model for the multiple Meixner polynomials of the first kind. Zbl 1251.81053 Miki, Hiroshi; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 6 2012 \(9j\)-symbols of the oscillator algebra and Krawtchouk polynomials in two variables. Zbl 0952.33010 Zhedanov, Alexei 6 1997 Two-dimensional Krall-Sheffer polynomials and integrable systems. Zbl 0995.33009 Harnad, John; Vinet, Luc; Yermolayeva, Oksana; Zhedanov, Alexei 6 2001 Hypergeometric orthogonal polynomials with respect to Newtonian bases. Zbl 1341.42045 Vinet, Luc; Zhedanov, Alexei 6 2016 On Dirichlet, Poncelet and Abel problems. Zbl 1264.14043 Burskii, Vladimir P.; Zhedanov, Alexei S. 6 2013 The dual pair \(Pin(2n) \times \mathfrak{osp}(1|2)\), the Dirac equation and the Bannai-Ito algebra. Zbl 1402.81132 Gaboriaud, Julien; Vinet, Luc; Vinet, Stéphane; Zhedanov, Alexei 6 2018 Sklyanin-like algebras for \((q\)-)linear grids and \((q\)-)para-Krawtchouk polynomials. Zbl 1456.81265 Bergeron, Geoffroy; Gaboriaud, Julien; Vinet, Luc; Zhedanov, Alexei 6 2021 Elliptic grids, rational functions, and the Padé interpolation. Zbl 1136.42021 Spiridonov, V. P.; Zhedanov, A. S. 5 2007 Bispectrality and Darboux transformations in the theory of orthogonal polynomials. Zbl 0901.42015 Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 5 1998 Generalized little \(q\)-Jacobi polynomials as eigensolutions of higher-order \(q\)-difference operators. Zbl 0973.33009 Vinet, Luc; Zhedanov, Alexei 5 2001 Spectral transformations of the Laurent biorthogonal polynomials. II: Pastro polynomials. Zbl 1065.33011 Vinet, Luc; Zhedanov, Alexei 5 2001 Self-similarity, spectral transformations and orthogonal and biorthogonal polynomials. Zbl 1010.42014 Spiridonov, Vyacheslav; Zhedanov, Alexei 5 1999 Discrete reflectionless potentials, quantum algebras, and \(q\)-orthogonal polynomials. Zbl 0813.35098 Spiridonov, Vyacheslav; Zhedanov, Alexei 5 1995 Nonlinear shift \(q\)-Bose operators and \(q\)-coherent states. Zbl 0757.33007 Zhedanov, A. S. 5 1991 ‘Twisted’ Clebsch-Gordan coefficients for \(SU_ q(2)\). Zbl 0765.17015 Granovskij, Ya. I.; Zhedanov, A. S. 5 1992 \(q\) rotations and other \(q\) transformations as unitary nonlinear automorphisms of quantum algebras. Zbl 0789.17011 Zhedanov, A. S. 5 1993 Bannai-Ito polynomials and dressing chains. Zbl 1304.42063 Derevyagin, Maxim; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 5 2014 The rational Heun operator and Wilson biorthogonal functions. Zbl 07690247 Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 1 2023 Free boson realization of the Dunkl intertwining operator in one dimension. Zbl 1513.81074 Vinet, Luc; Zhedanov, Alexei 3 2022 Bispectrality and biorthogonality of the rational functions of \(q\)-Hahn type. Zbl 1519.33012 Bussière, Ismaël; Gaboriaud, Julien; Vinet, Luc; Zhedanov, Alexei 1 2022 A classical model for perfect transfer and fractional revival based on \(q\)-Racah polynomials. Zbl 1486.81118 Schérer, Hugo; Vinet, Luc; Zhedanov, Alexei 1 2022 Analytic “Newton’s cradles” with perfect transfer and fractional revival. Zbl 1487.81049 Schérer, Hugo; Vinet, Luc; Zhedanov, Alexei 1 2022 The rational Sklyanin algebra and the Wilson and para-Racah polynomials. Zbl 1508.17016 Bergeron, Geoffroy; Gaboriaud, Julien; Vinet, Luc; Zhedanov, Alexei 1 2022 Sklyanin-like algebras for \((q\)-)linear grids and \((q\)-)para-Krawtchouk polynomials. Zbl 1456.81265 Bergeron, Geoffroy; Gaboriaud, Julien; Vinet, Luc; Zhedanov, Alexei 6 2021 An algebraic description of the bispectrality of the biorthogonal rational functions of Hahn type. Zbl 1456.33011 Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 5 2021 A unified algebraic underpinning for the Hahn polynomials and rational functions. Zbl 1459.33010 Vinet, Luc; Zhedanov, Alexei 5 2021 An algebraic treatment of the Askey biorthogonal polynomials on the unit circle. Zbl 1528.33016 Vinet, Luc; Zhedanov, Alexei 3 2021 The q-Heun operator of big q-Jacobi type and the q-Heun algebra. Zbl 1444.39007 Baseilhac, Pascal; Vinet, Luc; Zhedanov, Alexei 14 2020 Heun algebras of Lie type. Zbl 1452.17024 Crampé, Nicolas; Vinet, Luc; Zhedanov, Alexei 11 2020 The Heun-Racah and Heun-Bannai-Ito algebras. Zbl 1472.33011 Bergeron, Geoffroy; Crampé, Nicolas; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 7 2020 Degenerate Sklyanin algebras, Askey-Wilson polynomials and Heun operators. Zbl 1519.81279 Gaboriaud, Julien; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 7 2020 Little and big \(q\)-Jacobi polynomials and the Askey-Wilson algebra. Zbl 1436.81070 Baseilhac, Pascal; Martin, Xavier; Vinet, Luc; Zhedanov, Alexei 7 2020 Signal processing, orthogonal polynomials, and Heun equations. Zbl 1443.33033 Bergeron, Geoffroy; Vinet, Luc; Zhedanov, Alexei 4 2020 Isospectral flows related to Frobenius-Stickelberger-Thiele polynomials. Zbl 1445.37052 Chang, Xiang-Ke; Hu, Xing-Biao; Szmigielski, Jacek; Zhedanov, Alexei 4 2020 Dunkl-supersymmetric orthogonal functions associated with classical orthogonal polynomials. Zbl 1514.42032 Luo, Yu; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 1 2020 The Heun-Askey-Wilson algebra and the Heun operator of Askey-Wilson type. Zbl 1423.33027 Baseilhac, Pascal; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 18 2019 The Heun operator of Hahn-type. Zbl 1429.33018 Vinet, Luc; Zhedanov, Alexei 17 2019 Truncation of the reflection algebra and the Hahn algebra. Zbl 1509.17009 Crampé, Nicolas; Ragoucy, Eric; Vinet, Luc; Zhedanov, Alexei 7 2019 The Higgs and Hahn algebras from a Howe duality perspective. Zbl 1476.81035 Frappat, Luc; Gaboriaud, Julien; Vinet, Luc; Vinet, Stéphane; Zhedanov, Alexei 5 2019 Double affine Hecke algebra of rank 1 and orthogonal polynomials on the unit circle. Zbl 1458.33008 Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 4 2019 Perfect state transfer in a spin chain without mirror symmetry. Zbl 1509.82022 Coutinho, Gabriel; Vinet, Luc; Zhan, Hanmeng; Zhedanov, Alexei 2 2019 Algebraic Heun operator and band-time limiting. Zbl 1405.33025 Grünbaum, F. Alberto; Vinet, Luc; Zhedanov, Alexei 34 2018 The Racah algebra as a commutant and Howe duality. Zbl 1411.81112 Gaboriaud, Julien; Vinet, Luc; Vinet, Stéphane; Zhedanov, Alexei 15 2018 A \(q\)-generalization of the para-Racah polynomials. Zbl 1390.33035 Lemay, Jean-Michel; Vinet, Luc; Zhedanov, Alexei 8 2018 An embedding of the Bannai-Ito algebra in \(\mathcal U(\mathfrak{osp}(1,2))\) and \(-1\) polynomials. Zbl 1395.81126 Baseilhac, Pascal; Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 8 2018 The dual pair \(Pin(2n) \times \mathfrak{osp}(1|2)\), the Dirac equation and the Bannai-Ito algebra. Zbl 1402.81132 Gaboriaud, Julien; Vinet, Luc; Vinet, Stéphane; Zhedanov, Alexei 6 2018 Supersymmetry of the quantum rotor. Zbl 1411.33016 Genest, Vincent X.; Vinet, Luc; Yu, Guo-Fu; Zhedanov, Alexei 2 2018 Symmetric abstract hypergeometric polynomials. Zbl 1375.33022 Tsujimoto, Satoshi; Vinet, Luc; Yu, Guo-Fu; Zhedanov, Alexei 1 2018 Tridiagonalization and the Heun equation. Zbl 1364.34126 Grünbaum, F. Alberto; Vinet, Luc; Zhedanov, Alexei 25 2017 Persymmetric Jacobi matrices, isospectral deformations and orthogonal polynomials. Zbl 1375.65059 Genest, Vincent X.; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 10 2017 Tridiagonal representations of the \(q\)-oscillator algebra and Askey-Wilson polynomials. Zbl 1368.81074 Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 8 2017 The \(q\)-Onsager algebra and multivariable \(q\)-special functions. Zbl 1375.81138 Baseilhac, Pascal; Vinet, Luc; Zhedanov, Alexei 7 2017 Exact state revival in a spin chain with next-to-nearest neighbour interactions. Zbl 1390.82011 Christandl, Matthias; Vinet, Luc; Zhedanov, Alexei 2 2017 Quantum spin chains with fractional revival. Zbl 1380.82030 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 21 2016 Tridiagonalization of the hypergeometric operator and the Racah-Wilson algebra. Zbl 1351.33010 Genest, Vincent X.; Ismail, Mourad E. H.; Vinet, Luc; Zhedanov, Alexei 21 2016 The non-symmetric Wilson polynomials are the Bannai-Ito polynomials. Zbl 1354.33010 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 18 2016 The para-Racah polynomials. Zbl 1333.33025 Lemay, Jean-Michel; Vinet, Luc; Zhedanov, Alexei 10 2016 An analytic spin chain model with fractional revival. Zbl 1351.82044 Lemay, Jean-Michel; Vinet, Luc; Zhedanov, Alexei 9 2016 The quantum superalgebra \(\mathfrak{osp}_q(1| 2)\) and a \(q\)-generalization of the Bannai-Ito polynomials. Zbl 1395.17027 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 8 2016 Hypergeometric orthogonal polynomials with respect to Newtonian bases. Zbl 1341.42045 Vinet, Luc; Zhedanov, Alexei 6 2016 \(q\)-rotations and Krawtchouk polynomials. Zbl 1339.33020 Genest, Vincent X.; Post, Sarah; Vinet, Luc; Yu, Guo-Fu; Zhedanov, Alexei 5 2016 A Laplace-Dunkl equation on \(S^2\) and the Bannai-Ito algebra. Zbl 1311.22030 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 24 2015 Embeddings of the Racah algebra into the Bannai-Itô algebra. Zbl 1318.33027 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 17 2015 The equitable presentation of \(\mathfrak{osp}_q(1|2)\) and a \(q\)-analog of the Bannai-Ito algebra. Zbl 1344.17014 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 5 2015 Two-variable -1 Jacobi polynomials. Zbl 1317.33011 Genest, Vincent X.; Lemay, Jean-Michel; Vinet, Luc; Zhedanov, Alexei 1 2015 Superintegrability in two dimensions and the Racah-Wilson algebra. Zbl 1311.81145 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 55 2014 The Bannai-Ito polynomials as Racah coefficients of the \(sl_{-1}(2)\) algebra. Zbl 1304.17019 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 31 2014 The Bannai-Ito algebra and a superintegrable system with reflections on the two-sphere. Zbl 1291.81132 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 29 2014 The equitable Racah algebra from three \(\mathfrak {su}(1,1)\) algebras. Zbl 1355.17004 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 28 2014 The Dunkl oscillator in the plane. II: Representations of the symmetry algebra. Zbl 1292.81041 Genest, Vincent X.; Ismail, Mourad E. H.; Vinet, Luc; Zhedanov, Alexei 23 2014 Bannai-Ito polynomials and dressing chains. Zbl 1304.42063 Derevyagin, Maxim; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 5 2014 The multivariate Charlier polynomials as matrix elements of the Euclidean group representation on oscillator states. Zbl 1296.33025 Genest, Vincent X.; Miki, Hiroshi; Vinet, Luc; Zhedanov, Alexei 5 2014 Interbasis expansions for the isotropic 3D harmonic oscillator and bivariate Krawtchouk polynomials. Zbl 1283.81064 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 4 2014 A “continuous” limit of the complementary Bannai-Itô polynomials: Chihara polynomials. Zbl 1293.33012 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 4 2014 The multivariate Meixner polynomials as matrix elements of \(SO(d, 1)\) representations on oscillator states. Zbl 1285.81023 Genest, Vincent X.; Miki, Hiroshi; Vinet, Luc; Zhedanov, Alexei 3 2014 Elliptic solutions of the Toda chain and a generalization of the Stieltjes-Carlitz polynomials. Zbl 1298.33020 Zhedanov, Alexei 2 2014 Umbral “classical” polynomials. Zbl 1305.33024 Zhedanov, Alexei 1 2014 The Dunkl oscillator in the plane. Part I: Superintegrability, separated wavefunctions and overlap coefficients. Zbl 1267.81139 Genest, Vincent X.; Ismail, Mourad E. H.; Vinet, Luc; Zhedanov, Alexei 28 2013 The multivariate Krawtchouk polynomials as matrix elements of the rotation group representations on oscillator states. Zbl 1282.22008 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 18 2013 Bispectrality of the complementary Bannai-Itō polynomials. Zbl 1272.33010 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 15 2013 Dual \(-1\) Hahn polynomials: “classical” polynomials beyond the Leonard duality. Zbl 1300.33018 Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 13 2013 The singular and the 2:1 anisotropic Dunkl oscillators in the plane. Zbl 1273.81089 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 11 2013 The Hahn superalgebra and supersymmetric Dunkl oscillator models. Zbl 1280.81060 Genest, Vincent X.; Lemay, Jean-Michel; Vinet, Luc; Zhedanov, Alexei 9 2013 The algebra of dual \(-1\) Hahn polynomials and the Clebsch-Gordan problem of \(\mathfrak{sl}_{-1}(2)\). Zbl 1280.81071 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 8 2013 On Dirichlet, Poncelet and Abel problems. Zbl 1264.14043 Burskii, Vladimir P.; Zhedanov, Alexei S. 6 2013 Birth and death processes and quantum spin chains. Zbl 1285.82028 Grünbaum, F. Alberto; Vinet, Luc; Zhedanov, Alexei 4 2013 A superintegrable finite oscillator in two dimensions with \(SU(2)\) symmetry. Zbl 1266.39011 Miki, Hiroshi; Post, Sarah; Vinet, Luc; Zhedanov, Alexei 4 2013 Dunkl shift operators and Bannai-Ito polynomials. Zbl 1248.33022 Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 58 2012 Para-Krawtchouk polynomials on a bi-lattice and a quantum spin chain with perfect state transfer. Zbl 1251.81021 Vinet, Luc; Zhedanov, Alexei 28 2012 A limit \(q=-1\) for the big \(q\)-Jacobi polynomials. Zbl 1276.33019 Vinet, Luc; Zhedanov, Alexei 25 2012 \(d\)-orthogonal polynomials and \(\mathfrak {su}(2)\). Zbl 1238.33004 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 9 2012 CMV matrices and little and big \(-1\) Jacobi polynomials. Zbl 1259.42018 Derevyagin, Maxim; Vinet, Luc; Zhedanov, Alexei 9 2012 An algebraic model for the multiple Meixner polynomials of the first kind. Zbl 1251.81053 Miki, Hiroshi; Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 6 2012 Generalized squeezed-coherent states of the finite one-dimensional oscillator and matrix multi-orthogonality. Zbl 1247.81197 Genest, Vincent X.; Vinet, Luc; Zhedanov, Alexei 1 2012 A ’missing’ family of classical orthogonal polynomials. Zbl 1222.33011 Vinet, Luc; Zhedanov, Alexei 36 2011 From \(\text{sl}_q(2)\) to a parabosonic Hopf algebra. Zbl 1246.17022 Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 15 2011 Supersymmetric quantum mechanics with reflections. Zbl 1230.81032 Post, Sarah; Vinet, Luc; Zhedanov, Alexei 13 2011 A Bochner theorem for Dunkl polynomials. Zbl 1217.33022 Vinet, Luc; Zhedanov, Alexei 10 2011 Representations of the Schrödinger group and matrix orthogonal polynomials. Zbl 1227.81173 Vinet, Luc; Zhedanov, Alexei 8 2011 Non-Hermitian oscillator Hamiltonians and multiple Charlier polynomials. Zbl 1255.81143 Miki, Hiroshi; Vinet, Luc; Zhedanov, Alexei 5 2011 Jordan algebras and orthogonal polynomials. Zbl 1272.17031 Tsujimoto, Satoshi; Vinet, Luc; Zhedanov, Alexei 4 2011 An infinite family of superintegrable Hamiltonians with reflection in the plane. Zbl 1238.81138 Post, Sarah; Vinet, Luc; Zhedanov, Alexei 2 2011 Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux-Crum transformations. Zbl 1200.33013 Sasaki, Ryu; Tsujimoto, Satoshi; Zhedanov, Alexei 62 2010 The linear pencil approach to rational interpolation. Zbl 1193.41001 Beckermann, Bernhard; Derevyagin, Maxim; Zhedanov, Alexei 9 2010 Elliptic hypergeometric Laurent biorthogonal polynomials with a dense point spectrum on the unit circle. Zbl 1163.33325 Tsujimoto, Satoshi; Zhedanov, Alexei 16 2009 Automorphisms of the Heisenberg-Weyl algebra and \(d\)-orthogonal polynomials. Zbl 1202.33018 Vinet, Luc; Zhedanov, Alexei 16 2009 An operator approach to multipoint Padé approximations. Zbl 1163.41002 Derevyagin, Maxim S.; Zhedanov, Alexei S. 12 2009 Elliptic polynomials orthogonal on the unit circle with a dense point spectrum. Zbl 1178.33022 Zhedanov, Alexei 4 2009 Elliptic solutions of the restricted Toda chain, Lamé polynomials and generalization of the elliptic Stieltjes polynomials. Zbl 1179.33035 Vinet, Luc; Zhedanov, Alexei 2 2009 Quasi-linear algebras and integrability (the Heisenberg picture). Zbl 1136.17019 Vinet, Luc; Zhedanov, Alexei 7 2008 Generalized Bochner theorem: Characterization of the Askey-Wilson polynomials. Zbl 1140.33006 Vinet, Luc; Zhedanov, Alexei 6 2008 Toda chain, Stieltjes function, and orthogonal polynomials. Zbl 1121.37054 Peherstorfer, F.; Spiridonov, V. P.; Zhedanov, A. S. 18 2007 Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials. Zbl 1136.37041 Spiridonov, V. P.; Tsujimoto, S.; Zhedanov, A. S. 14 2007 Elliptic grids, rational functions, and the Padé interpolation. Zbl 1136.42021 Spiridonov, V. P.; Zhedanov, A. S. 5 2007 On Dirichlet problem for string equation, Poncelet problem, Pell-Abel equation, and some other related problems. Zbl 1120.35061 Burskij, V. P.; Zhedanov, A. S. 3 2006 Dirichlet and Neumann problems for string equation, Poncelet problem and Pell-Abel equation. Zbl 1092.35054 Burskii, Vladimir P.; Zhedanov, Alexei S. 1 2006 Explicit multipoint rational interpolation Padé table for exponential and power functions. Zbl 1122.41008 Zhedanov, A. 2 2005 ...and 54 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 661 Authors 125 Vinet, Luc 90 Zhedanov, Alexei S. 44 Marcellán Español, Francisco 33 Crampé, Nicolas 28 Sri Ranga, Alagacone 28 Terwilliger, Paul M. 27 Durán, Antonio José 26 Tsujimoto, Satoshi 24 Genest, Vincent X. 18 Derevyagin, Maxim S. 18 Gaboriaud, Julien 17 Spiridonov, Vyacheslav Pavlovich 15 Huang, Hau-wen 14 Marquette, Ian 13 Baseilhac, Pascal 13 Chung, Won-Sang 13 De Bie, Hendrik 11 Alhaidari, Abdulaziz D. 11 Bracciali, Cleonice Fátima 11 Iliev, Plamen 11 Jordaan, Kerstin 11 Nomura, Kazumasa 10 Bernard, Pierre-Antoine 10 Chang, Xiangke 10 García-Ardila, Juan Carlos 10 Hassanabadi, Hassan 10 Odake, Satoru 9 Castillo, Kenier 9 Garza, Luis E. 9 Hu, Xingbiao 9 Pérez, Teresa E. 9 Poulain D’Andecy, Loïc 8 Bouzeffour, Fethi 8 Coutinho, Gabriel 8 Grünbaum, Francisco Alberto 8 Iwasaki, Masashi 8 Miki, Hiroshi 8 Quesne, Christiane 8 Zaimi, Meri 7 Bergeron, Geoffroy 7 Domínguez de la Iglesia, Manuel 7 Godsil, Christopher David 7 Ismail, Mourad El-Houssieny 7 Ito, Tatsuro 7 Mañas, Manuel 7 Swaminathan, Anbhu 7 van de Vijver, Wouter 7 Van der Jeugt, Joris 7 Zagorodnyuk, Sergey Mihaylovich 7 Zhan, Hanmeng 6 Area, Iván 6 Chan, Ada 6 Dominici, Diego Ernesto 6 Driver, Kathy A. 6 Frappat, Luc 6 Gómez-Ullate, David 6 Grandati, Yves 6 Lemay, Jean-Michel 6 Milson, Robert 6 Nakamura, Yoshimasa 6 Piñar, Miguel A. 6 Ragoucy, Eric 6 Rebocho, M. N. 6 Tamon, Christino 6 Van Assche, Walter 5 Bockting-Conrad, Sarah 5 Branquinho, Amílcar José Pinto Lopes 5 Chen, Xiaomin 5 Godoy, Eduardo Paciência 5 Huertas Cejudo, Edmundo José 5 Marriaga, Misael E. 5 Rains, Eric M. 5 Roy, Barnana 5 Sasaki, Ryu 5 Veronese, Daniel O. 5 Zhang, Yaozhong 4 Alfaro García, Manuel 4 Álvarez-Nodarse, Renato 4 Behera, Kiran Kumar 4 Cantero, María José 4 Choque Rivero, Abdon Eddy 4 De Clercq, Hadewijch 4 Filipuk, Galina V. 4 Ghazouani, Sami 4 He, Yi 4 Hernández, Javier 4 Khorozov, Emil Ivanov 4 Koelink, Erik 4 Koornwinder, Tom H. 4 Kwon, Kil Hyun 4 Lamblém, Regina Litz 4 Latini, Danilo 4 Li, Shihao 4 Moral, Leandro 4 Nepomechie, Rafael I. 4 Peña, Ana 4 Rezola, María Luisa 4 Rosengren, Hjalmar 4 Sedaghatnia, Parisa 4 van Diejen, Jan Felipe ...and 561 more Authors all top 5 Cited in 158 Serials 78 Journal of Mathematical Physics 49 Journal of Approximation Theory 49 Journal of Physics A: Mathematical and Theoretical 41 Linear Algebra and its Applications 39 Journal of Mathematical Analysis and Applications 32 Journal of Computational and Applied Mathematics 23 Proceedings of the American Mathematical Society 22 Integral Transforms and Special Functions 22 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 20 Letters in Mathematical Physics 19 Nuclear Physics. B 16 The Ramanujan Journal 15 Communications in Mathematical Physics 13 Journal of Difference Equations and Applications 12 Numerical Algorithms 11 Physics Letters. A 11 Applied Mathematics and Computation 10 Advances in Mathematics 10 Annals of Physics 9 Constructive Approximation 8 Theoretical and Mathematical Physics 8 Physica D 8 Annales Henri Poincaré 7 Modern Physics Letters A 7 Journal of Algebra 7 Journal of High Energy Physics 5 Communications in Algebra 5 International Journal of Theoretical Physics 5 Rocky Mountain Journal of Mathematics 5 Mathematics of Computation 5 Acta Applicandae Mathematicae 5 Indagationes Mathematicae. New Series 5 Computational and Applied Mathematics 4 International Journal of Modern Physics A 4 Reviews in Mathematical Physics 4 Journal of Combinatorial Theory. Series A 4 Studies in Applied Mathematics 4 Transactions of the American Mathematical Society 4 Applied Numerical Mathematics 4 Journal of Mathematical Sciences (New York) 4 St. Petersburg Mathematical Journal 4 The Electronic Journal of Combinatorics 4 Journal of Algebra and its Applications 4 Mediterranean Journal of Mathematics 4 Analysis and Mathematical Physics 4 Bulletin of Mathematical Sciences 3 Journal d’Analyse Mathématique 3 Physica A 3 Reports on Mathematical Physics 3 Ukrainian Mathematical Journal 3 Duke Mathematical Journal 3 Journal of Nonlinear Mathematical Physics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Computational Methods and Function Theory 3 Quantum Information Processing 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Journal of Classical Analysis 2 Applicable Analysis 2 Computers & Mathematics with Applications 2 Discrete Mathematics 2 Journal of Statistical Physics 2 Linear and Multilinear Algebra 2 Nonlinearity 2 Periodica Mathematica Hungarica 2 Calcolo 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Journal of Pure and Applied Algebra 2 Journal of Statistical Planning and Inference 2 Advances in Applied Mathematics 2 SIAM Journal on Discrete Mathematics 2 Russian Mathematics 2 Journal of Algebraic Combinatorics 2 Filomat 2 Selecta Mathematica. New Series 2 ELA. The Electronic Journal of Linear Algebra 2 Journal of Inequalities and Applications 2 Regular and Chaotic Dynamics 2 Journal of Modern Optics 2 Journal of Systems Science and Complexity 2 International Journal of Geometric Methods in Modern Physics 2 Journal of Statistical Mechanics: Theory and Experiment 2 Boundary Value Problems 2 Forum of Mathematics, Sigma 1 International Journal of Modern Physics B 1 Computer Physics Communications 1 Discrete Applied Mathematics 1 Journal of Engineering Mathematics 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Journal of Applied Probability 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Le Matematiche 1 Mathematische Nachrichten 1 Nagoya Mathematical Journal 1 Numerische Mathematik 1 Results in Mathematics ...and 58 more Serials all top 5 Cited in 52 Fields 474 Special functions (33-XX) 253 Quantum theory (81-XX) 245 Harmonic analysis on Euclidean spaces (42-XX) 116 Nonassociative rings and algebras (17-XX) 86 Dynamical systems and ergodic theory (37-XX) 80 Linear and multilinear algebra; matrix theory (15-XX) 67 Combinatorics (05-XX) 58 Difference and functional equations (39-XX) 55 Operator theory (47-XX) 54 Ordinary differential equations (34-XX) 48 Partial differential equations (35-XX) 40 Associative rings and algebras (16-XX) 37 Statistical mechanics, structure of matter (82-XX) 32 Functions of a complex variable (30-XX) 31 Numerical analysis (65-XX) 26 Topological groups, Lie groups (22-XX) 24 Approximations and expansions (41-XX) 21 Mechanics of particles and systems (70-XX) 20 Group theory and generalizations (20-XX) 19 Probability theory and stochastic processes (60-XX) 18 Algebraic geometry (14-XX) 17 Number theory (11-XX) 13 Real functions (26-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Relativity and gravitational theory (83-XX) 6 Functional analysis (46-XX) 5 Differential geometry (53-XX) 5 Optics, electromagnetic theory (78-XX) 4 Measure and integration (28-XX) 4 Geometry (51-XX) 4 Statistics (62-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Sequences, series, summability (40-XX) 3 Integral transforms, operational calculus (44-XX) 3 Manifolds and cell complexes (57-XX) 3 Information and communication theory, circuits (94-XX) 2 General algebraic systems (08-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 2 Biology and other natural sciences (92-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Potential theory (31-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Citations by Year