Edit Profile (opens in new tab) Spiridonov, Vyacheslav Pavlovich Compute Distance To: Compute Author ID: spiridonov.vyacheslav-p Published as: Spiridonov, V. P.; Spiridonov, Vyacheslav; Spiridonov, Vyacheslav P.; Spiridonov, V. more...less External Links: ResearchGate · Math-Net.Ru Documents Indexed: 97 Publications since 1985 2 Contributions as Editor Co-Authors: 34 Co-Authors with 68 Joint Publications 813 Co-Co-Authors all top 5 Co-Authors 31 single-authored 25 Zhedanov, Alexei S. 9 Vinet, Luc 6 Loutsenko, Igor M. 6 Vartanov, Grigory S. 5 Derkachëv, Sergeĭ Èduardovich 5 Sarkissian, Gor A. 5 van Diejen, Jan Felipe 3 Brünner, Frederic 3 Chicherin, Dmitry 2 Skorik, Sergei 2 Warnaar, S. Ole 1 Brankov, I. G. 1 Durand, Stéphane 1 Eksner, P. 1 Floreanini, Roberto 1 Gahramanov, Ilmar 1 Gazeau, Jean-Pierre 1 Gritsenko, Valeriĭ Alekseevich 1 Ivanov, Evgeniĭ Alekseevich 1 Kazakov, Dmitri I. 1 Korovnichenko, Alyona 1 Krattenthaler, Christian Friedrich 1 Lutzenko, I. M. 1 Magadov, Kamil Yu 1 Mayrand, Michel 1 Nechaev, Sergeĭ Konstantinovich 1 Peherstorfer, Franz 1 Plakida, N. M. 1 Povolotsky, A. M. 1 Priezzhev, Vyacheslav Borisovich 1 Rains, Eric M. 1 Regalado, Diego 1 Tsujimoto, Satoshi 1 Zagrebnov, Valentin A. all top 5 Serials 8 Journal of Physics A: Mathematical and General 7 Letters in Mathematical Physics 7 Theoretical and Mathematical Physics 6 Communications in Mathematical Physics 6 Journal of High Energy Physics 5 Russian Mathematical Surveys 4 The Ramanujan Journal 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Modern Physics Letters A 2 Nuclear Physics. B 2 Physics Letters. A 2 Advances in Mathematics 2 Functional Analysis and its Applications 2 IMRN. International Mathematics Research Notices 2 St. Petersburg Mathematical Journal 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Physics Letters. B 1 Rocky Mountain Journal of Mathematics 1 Soviet Journal of Nuclear Physics 1 Duke Mathematical Journal 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Annals of Physics 1 Mathematical Research Letters 1 Methods and Applications of Analysis 1 Physical Review Letters 1 Chebyshevskiĭ Sbornik 1 Proceedings of the Steklov Institute of Mathematics 1 Moscow Lectures all top 5 Fields 69 Special functions (33-XX) 41 Quantum theory (81-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Difference and functional equations (39-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Nonassociative rings and algebras (17-XX) 8 Number theory (11-XX) 7 Ordinary differential equations (34-XX) 4 Partial differential equations (35-XX) 3 Algebraic geometry (14-XX) 3 Associative rings and algebras (16-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Manifolds and cell complexes (57-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 78 Publications have been cited 1,001 times in 454 Documents Cited by ▼ Year ▼ Elliptic hypergeometry of supersymmetric dualities. Zbl 1225.81137Spiridonov, V. P.; Vartanov, G. S. 60 2011 On the elliptic beta function. Zbl 0997.33009Spiridonov, V. P. 57 2001 Essays on the theory of elliptic hypergeometric functions. Zbl 1173.33017Spiridonov, V. P. 49 2008 Discrete Darboux transformations, the discrete-time Toda lattice, and the Askey-Wilson polynomials. Zbl 0859.33017Spiridonov, Vyacheslav; Zhedanov, Alexei 38 1995 Elliptic Selberg integrals. Zbl 1010.33010van Diejen, J. F.; Spiridonov, V. P. 38 2001 Superconformal indices of three-dimensional theories related by mirror symmetry. Zbl 1298.81186Krattenthaler, C.; Spiridonov, V. P.; Vartanov, G. S. 36 2011 Elliptic beta integrals and solvable models of statistical mechanics. Zbl 1244.82019Spiridonov, V. P. 35 2012 Inversions of integral operators and elliptic beta integrals on root systems. Zbl 1103.33015Spiridonov, Vyacheslav P.; Warnaar, S. Ole 33 2006 Elliptic hypergeometry of supersymmetric dualities. II: Orthogonal groups, knots, and vortices. Zbl 1285.81064Spiridonov, V. P.; Vartanov, G. S. 31 2014 Spectral transformation chains and some new biorthogonal rational functions. Zbl 0989.33008Spiridonov, Vyacheslav; Zhedanov, Alexei 31 2000 \(q\)-oscillator realizations of the quantum superalgebras \(sl_ q(m,n)\) and \(osp_ q(m,2n)\). Zbl 0735.17025Floreanini, Roberto; Spiridonov, Vyacheslav P.; Vinet, Luc 28 1991 An elliptic Macdonald-Morris conjecture and multiple modular hypergeometric sums. Zbl 0981.33013van Diejen, J. F.; Spiridonov, V. P. 28 2000 Theta hypergeometric integrals. Zbl 1071.33011Spiridonov, V. P. 27 2004 An elliptic incarnation of the Bailey chain. Zbl 1185.33023Spiridonov, V. P. 26 2002 Superconformal indices for \({\mathcal N}=1\) theories with multiple duals. Zbl 1196.81208Spiridonov, V. P.; Vartanov, G. S. 26 2010 Theta hypergeometric series. Zbl 1041.11032Spiridonov, V. P. 25 2002 Short proofs of the elliptic beta integrals. Zbl 1118.33008Spiridonov, V. P. 21 2007 A Bailey tree for integrals. Zbl 1178.33019Spiridonov, V. P. 21 2004 Spectral transformations, self-similar reductions and orthogonal polynomials. Zbl 0926.39006Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 20 1997 Elliptic hypergeometric integrals and ’t Hooft anomaly matching conditions. Zbl 1397.81329Spiridonov, V. P.; Vartanov, G. S. 19 2012 Unit circle elliptic beta integrals. Zbl 1160.33309van Diejen, J. F.; Spiridonov, V. P. 17 2005 Exactly solvable potentials and quantum algebras. Zbl 0968.81524Spiridonov, Vyacheslav 16 1992 Discrete-time Volterra chain and classical orthogonal polynomials. Zbl 0928.39007Spiridonov, Vyacheslav; Zhedanov, Alexei 16 1997 Yang-Baxter equation, parameter permutations, and the elliptic beta integral. Zbl 1329.82037Derkachev, S. È.; Spiridonov, V. P. 15 2013 Deformed conformal and supersymmetric quantum mechanics. Zbl 1021.81520Spiridonov, Vyacheslav 13 1992 Rarefied elliptic hypergeometric functions. Zbl 1480.33009Spiridonov, V. P. 13 2018 Superconformal indices of \({{\mathcal N}=4}\) SYM field theories. Zbl 1243.81207Spiridonov, Vyacheslav P.; Vartanov, Grigory S. 13 2012 Classical biorthogonal rational functions on elliptic grids. Zbl 0974.33016Spiridonov, Vyacheslav; Zhedanov, Alexei 12 2000 Difference Schrödinger operators with linear and exponential discrete spectra. Zbl 0790.33017Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 12 1993 Generalized eigenvalue problem and a new family of rational functions biorthogonal on elliptic grids. Zbl 1039.42022Spiridonov, V. P.; Zhedanov, A. S. 11 2001 Toda chain, Stieltjes function, and orthogonal polynomials. Zbl 1121.37054Peherstorfer, F.; Spiridonov, V. P.; Zhedanov, A. S. 10 2007 Elliptic hypergeometric functions and Calogero-Sutherland-type models. Zbl 1125.37040Spiridonov, V. P. 10 2007 Determinants of elliptic hypergeometric integrals. Zbl 1193.33201Rains, E. M.; Spiridonov, V. P. 10 2009 Modular hypergeometric residue sums of elliptic Selberg integrals. Zbl 1014.33011Van Diejen, J. F.; Spiridonov, V. P. 9 2001 The star-triangle relation and 3\(d\) superconformal indices. Zbl 1388.81211Gahramanov, I.; Spiridonov, V. P. 9 2015 Higher order parasupersymmetric quantum mechanics. Zbl 1020.81598Durand, Stéphane; Mayrand, Michel; Spiridonov, Vyacheslav; Vinet, Luc 8 1991 Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials. Zbl 1136.37041Spiridonov, V. P.; Tsujimoto, S.; Zhedanov, A. S. 8 2007 Zeros and orthogonality of the Askey-Wilson polynomials for \(q\) a root of unity. Zbl 0882.33007Spiridonov, Vyacheslav; Zhedanov, Alexei 8 1997 Elliptic beta integrals and special functions of hypergeometric type. Zbl 0997.33010Spiridonov, V. P. 8 2001 Supersymmetric Casimir energy and \( \mathrm{S}\mathrm{L}\left(3,\mathbb{Z}\right) \) transformations. Zbl 1380.81376Brünner, Frederic; Regalado, Diego; Spiridonov, Vyacheslav P. 8 2017 Self-similar potentials and the \(q\)-oscillator algebra at roots of unity. Zbl 0778.17012Skorik, Sergei; Spiridonov, Vyacheslav 7 1993 Coherent states of the \(q\)-Weyl algebra. Zbl 0833.17013Spiridonov, Vyacheslav 6 1995 From principal series to finite-dimensional solutions of the Yang-Baxter equation. Zbl 1381.81057Chicherin, Dmitry; Derkachov, Sergey E.; Spiridonov, Vyacheslav P. 6 2016 A duality web of linear quivers. Zbl 1368.81145Brünner, Frederic; Spiridonov, Vyacheslav P. 6 2016 New elliptic solutions of the Yang-Baxter equation. Zbl 1397.16034Chicherin, D.; Derkachov, S. E.; Spiridonov, V. P. 6 2016 Discrete reflectionless potentials, quantum algebras, and \(q\)-orthogonal polynomials. Zbl 0813.35098Spiridonov, Vyacheslav; Zhedanov, Alexei 5 1995 Finite-dimensional representations of the elliptic modular double. Zbl 1328.81132Derkachov, S. E.; Spiridonov, V. P. 5 2015 Aspects of elliptic hypergeometric functions. Zbl 1307.33007Spiridonov, V. P. 5 2013 Elliptic beta integrals and modular hypergeometric sums: An overview. Zbl 1040.33017van Diejen, J. F.; Spiridonov, V. P. 5 2002 Self-similarity, spectral transformations and orthogonal and biorthogonal polynomials. Zbl 1010.42014Spiridonov, Vyacheslav; Zhedanov, Alexei 5 1999 Continuous biorthogonality of an elliptic hypergeometric function. Zbl 1206.33015Spiridonov, V. P. 5 2009 The \(6j\)-symbols for the \(SL(2,\mathbb{C})\) group. Zbl 1419.81020Derkachov, S. E.; Spiridonov, V. P. 5 2019 Toward discrete wavelets with irrational scaling factor. Zbl 0861.42024Gazeau, Jean Pierre; Spiridonov, Vyacheslav 4 1996 Modified elliptic gamma functions and 6d superconformal indices. Zbl 1303.81195Spiridonov, Vyacheslav P. 4 2014 Bispectrality and Darboux transformations in the theory of orthogonal polynomials. Zbl 0901.42015Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 4 1998 \(q\)-ultraspherical polynomials for \(q\) a root of unity. Zbl 0870.33014Spiridonov, Vyacheslav; Zhedanov, Alexei 4 1996 New multiple \(_{6} \psi _{6}\) summation formulas and related conjectures. Zbl 1226.05254Spiridonov, Vyacheslav P.; Warnaar, S. Ole 4 2011 An elliptic beta integral. Zbl 1065.33015Spiridonov, V. P. 4 2002 The hyperbolic modular double and the Yang-Baxter equation. Zbl 1409.33014Chicherin, Dmitry; Spiridonov, Vyacheslav P. 4 2018 Elliptic grids, rational functions, and the Padé interpolation. Zbl 1136.42021Spiridonov, V. P.; Zhedanov, A. S. 3 2007 Soliton solutions of integrable hierarchies and Coulomb plasmas. Zbl 0959.82027Loutsenko, Igor; Spiridonov, Vyacheslav 3 2000 The endless beta integrals. Zbl 1473.33009Sarkissian, Gor A.; Spiridonov, Vyacheslav P. 3 2020 Solitons and Coulomb plasmas, similarity reductions and special functions. Zbl 1097.37507Spiridonov, V. P. 2 2000 On the spectrum of a \(q\)-oscillator with a linear interaction. Zbl 1020.81658Lutzenko, I.; Spiridonov, V.; Zhedanov, A. 2 1995 Symmetries of factorization chains for the discrete Schrödinger equation. Zbl 0956.39014Spiridonov, Vyacheslav 2 1997 The factorization method, self-similar potentials and quantum algebras. Zbl 1018.33016Spiridonov, V. P. 2 2001 From rarefied elliptic beta integral to parafermionic star-triangle relation. Zbl 1402.83101Sarkissian, Gor; Spiridonov, Vyacheslav P. 2 2018 4d \( \mathcal{N}=1\) quiver gauge theories and the \(A_n\) Bailey lemma. Zbl 1388.81784Brünner, Frederic; Spiridonov, Vyacheslav P. 2 2018 General modular quantum dilogarithm and beta integrals. Zbl 1445.81057Sarkissian, Gor A.; Spiridonov, Vyacheslav P. 2 2020 Hierarchy of the parasupersymmetric Hamiltonians in quantum mechanics. Zbl 0738.58060Spiridonov, V. P. 1 1991 Self-similar systems. Proceedings of the international workshop, Dubna, Russia, July 30–August 7, 1998. Zbl 0971.00015 1 1999 A multiparameter summation formula for Riemann theta functions. Zbl 1132.33340Spiridonov, Vyacheslav P. 1 2006 Periodic reduction of the factorizing chain and the Hahn polynomials. Zbl 0842.34041Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 1 1994 Discrete Schrödinger equation, Darboux transformations, and orthogonal polynomials. Zbl 0859.33016Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 1 1996 Elliptic hypergeometric terms. Zbl 1295.33023Spiridonov, V. P. 1 2011 On the spectra of hyperelliptic potentials. Zbl 0959.34503Skorik, Sergei; Spiridonov, Vyacheslav 1 1994 Spectral self-similarity, one-dimensional Ising chains and random matrices. Zbl 0948.82023Loutsenko, Igor; Spiridonov, Vyacheslav 1 1999 Modularity and total ellipticity of some multiple series of hypergeometric type. Zbl 1178.33004Spiridonov, V. P. 1 2003 The endless beta integrals. Zbl 1473.33009Sarkissian, Gor A.; Spiridonov, Vyacheslav P. 3 2020 General modular quantum dilogarithm and beta integrals. Zbl 1445.81057Sarkissian, Gor A.; Spiridonov, Vyacheslav P. 2 2020 The \(6j\)-symbols for the \(SL(2,\mathbb{C})\) group. Zbl 1419.81020Derkachov, S. E.; Spiridonov, V. P. 5 2019 Rarefied elliptic hypergeometric functions. Zbl 1480.33009Spiridonov, V. P. 13 2018 The hyperbolic modular double and the Yang-Baxter equation. Zbl 1409.33014Chicherin, Dmitry; Spiridonov, Vyacheslav P. 4 2018 From rarefied elliptic beta integral to parafermionic star-triangle relation. Zbl 1402.83101Sarkissian, Gor; Spiridonov, Vyacheslav P. 2 2018 4d \( \mathcal{N}=1\) quiver gauge theories and the \(A_n\) Bailey lemma. Zbl 1388.81784Brünner, Frederic; Spiridonov, Vyacheslav P. 2 2018 Supersymmetric Casimir energy and \( \mathrm{S}\mathrm{L}\left(3,\mathbb{Z}\right) \) transformations. Zbl 1380.81376Brünner, Frederic; Regalado, Diego; Spiridonov, Vyacheslav P. 8 2017 From principal series to finite-dimensional solutions of the Yang-Baxter equation. Zbl 1381.81057Chicherin, Dmitry; Derkachov, Sergey E.; Spiridonov, Vyacheslav P. 6 2016 A duality web of linear quivers. Zbl 1368.81145Brünner, Frederic; Spiridonov, Vyacheslav P. 6 2016 New elliptic solutions of the Yang-Baxter equation. Zbl 1397.16034Chicherin, D.; Derkachov, S. E.; Spiridonov, V. P. 6 2016 The star-triangle relation and 3\(d\) superconformal indices. Zbl 1388.81211Gahramanov, I.; Spiridonov, V. P. 9 2015 Finite-dimensional representations of the elliptic modular double. Zbl 1328.81132Derkachov, S. E.; Spiridonov, V. P. 5 2015 Elliptic hypergeometry of supersymmetric dualities. II: Orthogonal groups, knots, and vortices. Zbl 1285.81064Spiridonov, V. P.; Vartanov, G. S. 31 2014 Modified elliptic gamma functions and 6d superconformal indices. Zbl 1303.81195Spiridonov, Vyacheslav P. 4 2014 Yang-Baxter equation, parameter permutations, and the elliptic beta integral. Zbl 1329.82037Derkachev, S. È.; Spiridonov, V. P. 15 2013 Aspects of elliptic hypergeometric functions. Zbl 1307.33007Spiridonov, V. P. 5 2013 Elliptic beta integrals and solvable models of statistical mechanics. Zbl 1244.82019Spiridonov, V. P. 35 2012 Elliptic hypergeometric integrals and ’t Hooft anomaly matching conditions. Zbl 1397.81329Spiridonov, V. P.; Vartanov, G. S. 19 2012 Superconformal indices of \({{\mathcal N}=4}\) SYM field theories. Zbl 1243.81207Spiridonov, Vyacheslav P.; Vartanov, Grigory S. 13 2012 Elliptic hypergeometry of supersymmetric dualities. Zbl 1225.81137Spiridonov, V. P.; Vartanov, G. S. 60 2011 Superconformal indices of three-dimensional theories related by mirror symmetry. Zbl 1298.81186Krattenthaler, C.; Spiridonov, V. P.; Vartanov, G. S. 36 2011 New multiple \(_{6} \psi _{6}\) summation formulas and related conjectures. Zbl 1226.05254Spiridonov, Vyacheslav P.; Warnaar, S. Ole 4 2011 Elliptic hypergeometric terms. Zbl 1295.33023Spiridonov, V. P. 1 2011 Superconformal indices for \({\mathcal N}=1\) theories with multiple duals. Zbl 1196.81208Spiridonov, V. P.; Vartanov, G. S. 26 2010 Determinants of elliptic hypergeometric integrals. Zbl 1193.33201Rains, E. M.; Spiridonov, V. P. 10 2009 Continuous biorthogonality of an elliptic hypergeometric function. Zbl 1206.33015Spiridonov, V. P. 5 2009 Essays on the theory of elliptic hypergeometric functions. Zbl 1173.33017Spiridonov, V. P. 49 2008 Short proofs of the elliptic beta integrals. Zbl 1118.33008Spiridonov, V. P. 21 2007 Toda chain, Stieltjes function, and orthogonal polynomials. Zbl 1121.37054Peherstorfer, F.; Spiridonov, V. P.; Zhedanov, A. S. 10 2007 Elliptic hypergeometric functions and Calogero-Sutherland-type models. Zbl 1125.37040Spiridonov, V. P. 10 2007 Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials. Zbl 1136.37041Spiridonov, V. P.; Tsujimoto, S.; Zhedanov, A. S. 8 2007 Elliptic grids, rational functions, and the Padé interpolation. Zbl 1136.42021Spiridonov, V. P.; Zhedanov, A. S. 3 2007 Inversions of integral operators and elliptic beta integrals on root systems. Zbl 1103.33015Spiridonov, Vyacheslav P.; Warnaar, S. Ole 33 2006 A multiparameter summation formula for Riemann theta functions. Zbl 1132.33340Spiridonov, Vyacheslav P. 1 2006 Unit circle elliptic beta integrals. Zbl 1160.33309van Diejen, J. F.; Spiridonov, V. P. 17 2005 Theta hypergeometric integrals. Zbl 1071.33011Spiridonov, V. P. 27 2004 A Bailey tree for integrals. Zbl 1178.33019Spiridonov, V. P. 21 2004 Modularity and total ellipticity of some multiple series of hypergeometric type. Zbl 1178.33004Spiridonov, V. P. 1 2003 An elliptic incarnation of the Bailey chain. Zbl 1185.33023Spiridonov, V. P. 26 2002 Theta hypergeometric series. Zbl 1041.11032Spiridonov, V. P. 25 2002 Elliptic beta integrals and modular hypergeometric sums: An overview. Zbl 1040.33017van Diejen, J. F.; Spiridonov, V. P. 5 2002 An elliptic beta integral. Zbl 1065.33015Spiridonov, V. P. 4 2002 On the elliptic beta function. Zbl 0997.33009Spiridonov, V. P. 57 2001 Elliptic Selberg integrals. Zbl 1010.33010van Diejen, J. F.; Spiridonov, V. P. 38 2001 Generalized eigenvalue problem and a new family of rational functions biorthogonal on elliptic grids. Zbl 1039.42022Spiridonov, V. P.; Zhedanov, A. S. 11 2001 Modular hypergeometric residue sums of elliptic Selberg integrals. Zbl 1014.33011Van Diejen, J. F.; Spiridonov, V. P. 9 2001 Elliptic beta integrals and special functions of hypergeometric type. Zbl 0997.33010Spiridonov, V. P. 8 2001 The factorization method, self-similar potentials and quantum algebras. Zbl 1018.33016Spiridonov, V. P. 2 2001 Spectral transformation chains and some new biorthogonal rational functions. Zbl 0989.33008Spiridonov, Vyacheslav; Zhedanov, Alexei 31 2000 An elliptic Macdonald-Morris conjecture and multiple modular hypergeometric sums. Zbl 0981.33013van Diejen, J. F.; Spiridonov, V. P. 28 2000 Classical biorthogonal rational functions on elliptic grids. Zbl 0974.33016Spiridonov, Vyacheslav; Zhedanov, Alexei 12 2000 Soliton solutions of integrable hierarchies and Coulomb plasmas. Zbl 0959.82027Loutsenko, Igor; Spiridonov, Vyacheslav 3 2000 Solitons and Coulomb plasmas, similarity reductions and special functions. Zbl 1097.37507Spiridonov, V. P. 2 2000 Self-similarity, spectral transformations and orthogonal and biorthogonal polynomials. Zbl 1010.42014Spiridonov, Vyacheslav; Zhedanov, Alexei 5 1999 Self-similar systems. Proceedings of the international workshop, Dubna, Russia, July 30–August 7, 1998. Zbl 0971.00015 1 1999 Spectral self-similarity, one-dimensional Ising chains and random matrices. Zbl 0948.82023Loutsenko, Igor; Spiridonov, Vyacheslav 1 1999 Bispectrality and Darboux transformations in the theory of orthogonal polynomials. Zbl 0901.42015Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 4 1998 Spectral transformations, self-similar reductions and orthogonal polynomials. Zbl 0926.39006Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 20 1997 Discrete-time Volterra chain and classical orthogonal polynomials. Zbl 0928.39007Spiridonov, Vyacheslav; Zhedanov, Alexei 16 1997 Zeros and orthogonality of the Askey-Wilson polynomials for \(q\) a root of unity. Zbl 0882.33007Spiridonov, Vyacheslav; Zhedanov, Alexei 8 1997 Symmetries of factorization chains for the discrete Schrödinger equation. Zbl 0956.39014Spiridonov, Vyacheslav 2 1997 Toward discrete wavelets with irrational scaling factor. Zbl 0861.42024Gazeau, Jean Pierre; Spiridonov, Vyacheslav 4 1996 \(q\)-ultraspherical polynomials for \(q\) a root of unity. Zbl 0870.33014Spiridonov, Vyacheslav; Zhedanov, Alexei 4 1996 Discrete Schrödinger equation, Darboux transformations, and orthogonal polynomials. Zbl 0859.33016Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 1 1996 Discrete Darboux transformations, the discrete-time Toda lattice, and the Askey-Wilson polynomials. Zbl 0859.33017Spiridonov, Vyacheslav; Zhedanov, Alexei 38 1995 Coherent states of the \(q\)-Weyl algebra. Zbl 0833.17013Spiridonov, Vyacheslav 6 1995 Discrete reflectionless potentials, quantum algebras, and \(q\)-orthogonal polynomials. Zbl 0813.35098Spiridonov, Vyacheslav; Zhedanov, Alexei 5 1995 On the spectrum of a \(q\)-oscillator with a linear interaction. Zbl 1020.81658Lutzenko, I.; Spiridonov, V.; Zhedanov, A. 2 1995 Periodic reduction of the factorizing chain and the Hahn polynomials. Zbl 0842.34041Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 1 1994 On the spectra of hyperelliptic potentials. Zbl 0959.34503Skorik, Sergei; Spiridonov, Vyacheslav 1 1994 Difference Schrödinger operators with linear and exponential discrete spectra. Zbl 0790.33017Spiridonov, Vyacheslav; Vinet, Luc; Zhedanov, Alexei 12 1993 Self-similar potentials and the \(q\)-oscillator algebra at roots of unity. Zbl 0778.17012Skorik, Sergei; Spiridonov, Vyacheslav 7 1993 Exactly solvable potentials and quantum algebras. Zbl 0968.81524Spiridonov, Vyacheslav 16 1992 Deformed conformal and supersymmetric quantum mechanics. Zbl 1021.81520Spiridonov, Vyacheslav 13 1992 \(q\)-oscillator realizations of the quantum superalgebras \(sl_ q(m,n)\) and \(osp_ q(m,2n)\). Zbl 0735.17025Floreanini, Roberto; Spiridonov, Vyacheslav P.; Vinet, Luc 28 1991 Higher order parasupersymmetric quantum mechanics. Zbl 1020.81598Durand, Stéphane; Mayrand, Michel; Spiridonov, Vyacheslav; Vinet, Luc 8 1991 Hierarchy of the parasupersymmetric Hamiltonians in quantum mechanics. Zbl 0738.58060Spiridonov, V. P. 1 1991 all cited Publications top 5 cited Publications all top 5 Cited by 490 Authors 39 Spiridonov, Vyacheslav Pavlovich 24 Zhedanov, Alexei S. 16 Rains, Eric M. 16 Razamat, Shlomo S. 13 Vinet, Luc 12 Marcellán Español, Francisco 11 Rosengren, Hjalmar 9 Derevyagin, Maxim S. 9 Derkachëv, Sergeĭ Èduardovich 9 Schlosser, Michael J. 9 Warnaar, S. Ole 8 Amariti, Antonio 8 Noumi, Masatoshi 8 Yamazaki, Masahito 7 Ito, Masahiko 7 Vartanov, Grigory S. 6 Gaiotto, Davide 6 Iwasaki, Masashi 6 Mekareeya, Noppadol 6 Palev, Tchavdar D. 6 Song, Jaewon 5 Chang, Xiangke 5 Fakhri, Hossein 5 Floreanini, Roberto 5 Gahramanov, Ilmar 5 Hu, Xingbiao 5 Martelli, Dario 5 Stokman, Jasper V. 5 Tsujimoto, Satoshi 5 Zafrir, Gabi 4 Ardehali, Arash Arabi 4 Cabo-Bizet, Alejandro 4 Cassani, Davide 4 Gadde, Abhijit 4 Kels, Andrew P. 4 Mc Laughlin, James G. 4 Murthy, Sameer 4 Nakamura, Yoshimasa 4 Nieri, Fabrizio 4 Pasquetti, Sara 4 Sarkissian, Gor A. 4 Varchenko, Alexander Nikolaevich 4 Willett, Brian 4 Yan, Wenbin 4 Zaffaroni, Alberto 4 Zhang, Zhizheng 3 Agarwal, Prarit 3 Aharony, Ofer 3 Branquinho, Amílcar José Pinto Lopes 3 Bueno, María Isabel 3 Chicherin, Dmitry 3 Dimofte, Tudor Dan 3 Durán, Antonio José 3 García-Ardila, Juan Carlos 3 Gukov, Sergei 3 Hanany, Amihay 3 He, Yi 3 Heidenreich, Ben 3 Hernández, Javier 3 Hristov, Kiril 3 Kashaev, Rinat M. 3 Kim, Hee-Cheol 3 Komargodski, Zohar 3 Li, Shihao 3 Manashov, Alexander N. 3 Maruyoshi, Kazunobu 3 Mori, Hironori 3 Neretin, Yuriĭ Aleksandrovich 3 Nii, Keita 3 Orlando, Domenico 3 Park, Jaemo 3 Reffert, Susanne 3 Rimányi, Richárd 3 Stoilova, Nedjalka I. 3 Vafa, Cumrun 3 Van de Bult, Fokko Joppe 3 van Diejen, Jan Felipe 3 Yoo, Meesue 3 Zou, Yiming 2 Aleixo, A. N. F. 2 Algin, Abdullah 2 Arik, Metin 2 Balantekin, A. Baha 2 Benvenuti, Sergio 2 Bonatsos, Dennis 2 Brihaye, Yves 2 Brünner, Frederic 2 Cantero, María José 2 Chu, Wenchang 2 Closset, Cyril 2 Córdova, Clay 2 Cremonesi, Stefano 2 Daskaloyannis, Costas 2 Dedushenko, Mykola 2 Dey, Anindya 2 Di Pietro, Lorenzo 2 Domínguez de la Iglesia, Manuel 2 Forrester, Peter J. 2 Foulquié Moreno, Ana Pilar 2 García-Etxebarria, Iñaki ...and 390 more Authors all top 5 Cited in 99 Serials 103 Journal of High Energy Physics 33 Journal of Mathematical Physics 28 Letters in Mathematical Physics 22 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 19 Communications in Mathematical Physics 17 The Ramanujan Journal 15 Journal of Computational and Applied Mathematics 14 Journal of Approximation Theory 13 Nuclear Physics. B 12 Theoretical and Mathematical Physics 12 Advances in Mathematics 7 Journal of Mathematical Analysis and Applications 7 Proceedings of the American Mathematical Society 6 Modern Physics Letters A 6 Constructive Approximation 6 Linear Algebra and its Applications 6 Journal of Mathematical Sciences (New York) 5 International Journal of Modern Physics A 4 International Journal of Theoretical Physics 4 Journal of Combinatorial Theory. Series A 4 St. Petersburg Mathematical Journal 3 Applied Mathematics and Computation 3 Duke Mathematical Journal 3 Numerical Algorithms 3 Indagationes Mathematicae. New Series 3 Selecta Mathematica. New Series 3 Journal of Physics A: Mathematical and Theoretical 2 Journal of Statistical Physics 2 Physics Reports 2 Rocky Mountain Journal of Mathematics 2 Ukrainian Mathematical Journal 2 Reviews in Mathematical Physics 2 Journal of Geometry and Physics 2 Journal of Differential Equations 2 Advances in Applied Mathematics 2 Integral Transforms and Special Functions 2 Séminaire Lotharingien de Combinatoire 2 Journal of Systems Science and Complexity 2 International Journal of Geometric Methods in Modern Physics 2 Journal of Statistical Mechanics: Theory and Experiment 1 Computers & Mathematics with Applications 1 Linear and Multilinear Algebra 1 Nonlinearity 1 Physics Letters. A 1 Russian Mathematical Surveys 1 Acta Mathematica Vietnamica 1 Calcolo 1 Functional Analysis and its Applications 1 Journal of Applied Probability 1 Journal of Number Theory 1 Journal of Pure and Applied Algebra 1 Journal of Statistical Planning and Inference 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Transactions of the American Mathematical Society 1 Physica D 1 Applied Numerical Mathematics 1 SIAM Journal on Discrete Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Mathematics 1 Computational and Applied Mathematics 1 Filomat 1 The Electronic Journal of Combinatorics 1 Journal of Difference Equations and Applications 1 The Journal of Fourier Analysis and Applications 1 Abstract and Applied Analysis 1 Geometry & Topology 1 Annals of Mathematics. Second Series 1 Communications of the Korean Mathematical Society 1 Annales Henri Poincaré 1 Physical Review Letters 1 Czechoslovak Journal of Physics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Computational Methods and Function Theory 1 Journal of Applied Mathematics and Computing 1 Central European Journal of Mathematics 1 Analysis and Applications (Singapore) 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems 1 Proceedings of the Steklov Institute of Mathematics 1 Complex Analysis and Operator Theory 1 Frontiers of Mathematics in China 1 Mathematical Modelling of Natural Phenomena 1 Advances in High Energy Physics 1 Science China. Mathematics 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 Symmetry 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics 1 Axioms 1 East Asian Journal on Applied Mathematics 1 Arnold Mathematical Journal 1 Cogent Mathematics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Journal of Ramanujan Society of Mathematics and Mathematical Sciences all top 5 Cited in 43 Fields 235 Quantum theory (81-XX) 177 Special functions (33-XX) 67 Nonassociative rings and algebras (17-XX) 58 Harmonic analysis on Euclidean spaces (42-XX) 37 Dynamical systems and ergodic theory (37-XX) 36 Relativity and gravitational theory (83-XX) 33 Difference and functional equations (39-XX) 31 Associative rings and algebras (16-XX) 26 Number theory (11-XX) 24 Combinatorics (05-XX) 24 Statistical mechanics, structure of matter (82-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 18 Ordinary differential equations (34-XX) 18 Partial differential equations (35-XX) 18 Global analysis, analysis on manifolds (58-XX) 17 Operator theory (47-XX) 13 Approximations and expansions (41-XX) 13 Numerical analysis (65-XX) 10 Mechanics of particles and systems (70-XX) 9 Algebraic geometry (14-XX) 9 Topological groups, Lie groups (22-XX) 9 Functions of a complex variable (30-XX) 8 Manifolds and cell complexes (57-XX) 7 Differential geometry (53-XX) 6 Functional analysis (46-XX) 6 Probability theory and stochastic processes (60-XX) 5 Group theory and generalizations (20-XX) 4 Commutative algebra (13-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Statistics (62-XX) 3 Integral transforms, operational calculus (44-XX) 2 History and biography (01-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) Citations by Year