Edit Profile (opens in new tab) Van der Jeugt, Joris Co-Author Distance Author ID: van-der-jeugt.joris Published as: Van der Jeugt, J.; Van der Jeugt, Joris; van der Jeugt, Joris; der Jeugt, J. Van; van der Jeugt, J.; Der Jeugt, J.van; Van der Jeugt, J more...less Documents Indexed: 194 Publications since 1983, including 7 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 37 Co-Authors with 154 Joint Publications 689 Co-Co-Authors all top 5 Co-Authors 36 single-authored 50 Stoilova, Nedjalka I. 19 Lievens, Stijn 16 Palev, Tchavdar D. 15 Vanden Berghe, Guido 14 De Meyer, Hans E. 14 Jafarov, Elchin I. 14 Oste, Roy 12 Srinivasa Rao, K. N. 11 Pitre, Sangita N. 9 King, Ronald C. 8 De Bie, Hendrik 8 Fack, Veerle 7 Hughes, J. W. B. 6 Regniers, Gilles 6 Thierry-Mieg, Jean 5 Moens, E. M. 3 Bisbo, Asmus K. 3 Dewilde, Patrick M. 3 Sharp, Robert T. 3 Vanthournout, Jan 2 Jafarova, Aynura M. 2 Koelink, Erik 2 Kota, V. K. B. 2 Langlois-Rémillard, Alexis 2 Nagiyev, Shakir M. 2 Patera, Jiří 2 Rajeswari, V. 2 Raynal, Jacques 1 Atakishiev, Natig M. 1 Debergh, Nathalie 1 Eelbode, David 1 Isaac, Phillip S. 1 Jellal, Ahmed 1 Morel, Benoît F. 1 Raeymaekers, Tim 1 Van Assche, Walter 1 Zhang, Ruibin all top 5 Serials 50 Journal of Mathematical Physics 27 Journal of Physics A: Mathematical and General 24 Journal of Physics A: Mathematical and Theoretical 10 Journal of Computational and Applied Mathematics 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Letters in Mathematical Physics 3 Computer Physics Communications 3 Bulgarian Journal of Physics 3 Journal of Lie Theory 2 Communications in Algebra 2 Communications in Mathematical Physics 2 International Journal of Theoretical Physics 2 Physics Letters. A 2 Annals of Physics 1 Computers & Mathematics with Applications 1 Discrete Mathematics 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 Indagationes Mathematicae 1 Journal of Algebra 1 Studies in Applied Mathematics 1 Constructive Approximation 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 SIAM Journal on Mathematical Analysis 1 Bulletin de la Société Mathématique de Belgique. Série A 1 Journal of Algebraic Combinatorics 1 The Electronic Journal of Combinatorics 1 Integral Transforms and Special Functions 1 Czechoslovak Journal of Physics 1 Canadian Journal of Physics 1 Journal of Generalized Lie Theory and Applications 1 Revista Mexicana Física 1 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences all top 5 Fields 121 Nonassociative rings and algebras (17-XX) 115 Quantum theory (81-XX) 49 Special functions (33-XX) 35 Topological groups, Lie groups (22-XX) 12 Combinatorics (05-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Group theory and generalizations (20-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 3 Number theory (11-XX) 3 Associative rings and algebras (16-XX) 3 Functions of a complex variable (30-XX) 3 Numerical analysis (65-XX) 3 Relativity and gravitational theory (83-XX) 2 General algebraic systems (08-XX) 2 Abstract harmonic analysis (43-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 143 Publications have been cited 992 times in 552 Documents Cited by ▼ Year ▼ Convolutions for orthogonal polynomials from Lie and quantum algebra representations. Zbl 0977.33013 Koelink, H. T.; Van der Jeugt, J. 45 1998 Character formulas for irreducible modules of the Lie superalgebras \(\mathrm{sl}(m|n)\). Zbl 0725.17004 Van der Jeugt, Joris; Hughes, J. W. B.; King, R. C.; Thierry-Mieg, J. 41 1990 A character formula for singly atypical modules of the Lie superalgebra \(\mathrm{sl}(m| n)\). Zbl 0721.17003 Van der Jeugt, Joris; Hughes, J. W. B.; King, R. C.; Thierry-Mieg, J. 36 1990 Irreducible representations of the exceptional Lie superalgebras \(D(2,1;\alpha)\). Zbl 0604.17001 Van der Jeugt, Joris 29 1985 A determinantal formula for supersymmetric Schur polynomials. Zbl 1020.05070 Moens, E. M.; Van der Jeugt, J. 27 2003 Character formulae for the Lie superalgebra \(C(n)\). Zbl 0721.17004 Van der Jeugt, Joris 26 1991 On the composition factors of Kac modules for the Lie superalgebras \(sl(m/n)\). Zbl 0747.17003 Hughes, J. W. B.; King, R. C.; Van der Jeugt, Joris 25 1992 Finite- and infinite-dimensional representations of the orthosymplectic superalgebra \(\text{Osp}(3,2)\). Zbl 0563.17007 Van der Jeugt, Joris 24 1984 The \(\mathbb {Z} \times\mathbb{Z}_2\) -graded Lie superalgebra \( \mathfrak{pso}(2m+1| 2n)\) and new parastatistics representations. Zbl 1390.81766 Stoilova, N. I.; Der Jeugt, J.van 19 2018 Finite-dimensional representations of the quantum superalgebra \(U_ q[gl(n/m)]\) and related \(q\)-identities. Zbl 0853.17016 Palev, T. D.; Stoilova, N. I.; Van der Jeugt, Joris 19 1994 Group theoretical basis for the terminating \(_ 3F_ 2(1)\) series. Zbl 0761.33002 Srinivasa Rao, K.; Van der Jeugt, Joris; Raynal, J.; Jagannathan, R.; Rajeswari, V. 18 1992 Coupling coefficients for Lie algebra representations and addition formulas for special functions. Zbl 0897.17005 Van der Jeugt, J. 17 1997 The paraboson Fock space and unitary irreducible representations of the Lie superalgebra \({\mathfrak{osp}(1|2n)}\). Zbl 1184.17004 Lievens, S.; Stoilova, N. I.; Van der Jeugt, J. 17 2008 Generalized Fourier transforms arising from the enveloping algebras of \(\mathfrak{sl}(2)\) and \(\mathfrak{osp}(1| 2\)). Zbl 1404.43010 De Bie, Hendrik; Oste, Roy; Van der Jeugt, Joris 16 2016 The \(q\)-boson operator algebra and \(q\)-Hermite polynomials. Zbl 0760.17016 Van der Jeugt, Joris 16 1992 Characters and composition factor multiplicities for the Lie superalgebra \({\mathfrak{gl}}(m/n)\). Zbl 0932.17009 Van der Jeugt, J.; Zhang, R. B. 15 1999 Invariance groups of transformations of basic hypergeometric series. Zbl 0956.33012 Van der Jeugt, J.; Srinivasa Rao, K. 15 1999 The \(\mathfrak{su}(2)_\alpha\) Hahn oscillator and a discrete Fourier-Hahn transform. Zbl 1231.81030 Jafarov, E. I.; Stoilova, N. I.; Van der Jeugt, J. 15 2011 The parafermion Fock space and explicit \(\mathfrak{so}(2n+1) \) representations. Zbl 1138.81023 Stoilova, N. I.; Van der Jeugt, J. 14 2008 Tridiagonal test matrices for eigenvalue computations: two-parameter extensions of the Clement matrix. Zbl 1354.65075 Oste, Roy; Van der Jeugt, Joris 13 2017 Transformation and summation formulas for Kampé de Fériet series \(F^{0:3}_{1:1} (1,1)\). Zbl 0861.33013 Pitre, S. N.; Van der Jeugt, Joris 13 1996 Regular subalgebras of Lie superalgebras and extended Dynkin diagrams. Zbl 0627.17002 Van der Jeugt, Joris 13 1987 Representations of \(N=2\) extended supergravity and unitarity conditions in \(\mathrm{Osp}(N,4)\). Zbl 0643.17012 Van der Jeugt, Joris 12 1987 On the algebra of symmetries of Laplace and Dirac operators. Zbl 1397.81085 De Bie, Hendrik; Oste, Roy; Van der Jeugt, Joris 11 2018 Motzkin paths, Motzkin polynomials and recurrence relations. Zbl 1310.05013 Oste, Roy; Van der Jeugt, Joris 11 2015 Transformation and summation formulas for double hypergeometric series. Zbl 0884.33009 Van der Jeugt, J.; Pitre, S. N.; Srinivasa Rao, K. 11 1997 Finite-dimensional representations of the quantum group \(\text{GL}_{p,q} (2)\) using the exponential map from \(U_{p,q} (\text{gl} (2))\). Zbl 0836.17016 Jagannathan, R.; Van der Jeugt, Joris 11 1995 Multiple hypergeometric functions and \(9-j\) coefficients. Zbl 0847.33009 Van der Jeugt, Joris; Pitre, Sangita N.; Srinivasa Rao, K. 11 1994 Jacobson generators, Fock representations and statistics of \(\text{sl}(n+1)\). Zbl 1060.81532 Palev, T. D.; Van der Jeugt, J. 11 2002 A class of infinite-dimensional representations of the Lie superalgebra \(\mathfrak{osp}(2m+1|2n)\) and the parastatistics Fock space. Zbl 1328.17009 Stoilova, N. I.; Van der Jeugt, J. 10 2015 The quantum superalgebra \(U_ q[osp(1/2n)]\): deformed para-Bose operators and root of unity representations. Zbl 0853.17017 Palev, T. D.; Van der Jeugt, Joris 10 1995 Realizations of \(F_ 4\) in \(\text{SO}(3)\otimes\text{SO}(3)\) bases and structural zeros of the \(6j\)-symbol. Zbl 0551.22008 De Meyer, Hans; Vanden Berghe, G.; Van der Jeugt, Joris 10 1984 Gel’fand-Zetlin basis and Clebsch-Gordan coefficients for covariant representations of the Lie superalgebra \(\mathfrak{gl}(m \mid n)\). Zbl 1309.17003 Stoilova, N. I.; Van der Jeugt, J. 10 2010 Finite oscillator models: the Hahn oscillator. Zbl 1220.81091 Jafarov, E. I.; Stoilova, N. I.; Van der Jeugt, J. 10 2011 The \(\mathbb{Z}_2 \times \mathbb{Z}_2\)-graded general linear Lie superalgebra. Zbl 1448.17033 Isaac, Phillip S.; Stoilova, N. I.; Van der Jeugt, Joris 10 2020 \(3nj\)-coefficients and orthogonal polynomials of hypergeometric type. Zbl 1038.33007 Van der Jeugt, Joris 10 2003 Bilinear generating functions for orthogonal polynomials. Zbl 0941.33011 Koelink, H. T.; Van der Jeugt, J. 9 1999 Quantum communication through a spin chain with interaction determined by a Jacobi matrix. Zbl 1197.81071 Chakrabarti, R.; Van der Jeugt, J. 9 2010 Transformation formula for a double Clausenian hypergeometric series, its \(q\)-analogue, and its invariance group. Zbl 0994.33007 Van der Jeugt, J. 8 2002 On the spectra of \(\text{SO}(3)\) scalars in the enveloping algebra of \(\text{SU}(3)\). Zbl 0591.22012 De Meyer, Hans; Vanden Berghe, G.; Van der Jeugt, Joris 8 1985 A non-commutative \(n\)-particle 3D Wigner quantum oscillator. Zbl 1055.81017 King, R. C.; Palev, T. D.; Stoilova, N. I.; Van der Jeugt, J. 8 2003 Boson realization of the Lie algebra \(F_ 4\) and non-trivial zeros of \(6j\) symbols. Zbl 0537.22019 Van der Jeugt, Joris; Vanden Berghe, G.; De Meyer, H. 8 1983 An algorithm for characters of Hecke algebras \(H_ n(q)\) of type \(A_{n-1}\). Zbl 0763.20005 Van der Jeugt, Joris 8 1991 Symmetry groups of Bailey’s transformations for \(_{10}\phi _{9}\)-series. Zbl 1123.33014 Lievens, S.; Van der Jeugt, J. 8 2007 Macroscopic properties of \(A\)-statistics. Zbl 0993.81030 Jellal, A.; Palev, T. D.; Van der Jeugt, J. 7 2001 The finite group of the Kummer solutions. Zbl 1071.33006 Lievens, S.; Srinivasa Rao, K.; Van der Jeugt, J. 7 2005 Stretched 9-\(j\) coefficients and summation theorems. Zbl 0849.33010 Srinivasa Rao, K.; Van der Jeugt, Joris 7 1994 On dimension formulas for \({\mathfrak {gl}} (m| n)\) representations. Zbl 1085.17007 Moens, E. M.; Van der Jeugt, J. 7 2004 An exactly solvable spin chain related to Hahn polynomials. Zbl 1220.82029 Stoilova, Neli I.; Van der Jeugt, Joris 7 2011 Fock representations of the superalgebra \(\text{sl}(n+1|m)\), its quantum analogue \(U_q[\text{sl}(n+1|m)]\) and related quantum statistics. Zbl 1028.17006 Palev, T. D.; Stoilova, N. I.; Van der Jeugt, J. 6 2000 On the zeros of \(3j\) coefficients: Polynomial degree versus recurrence order. Zbl 0824.33008 Raynal, Jacques; Van der Jeugt, Joris; Srinivasa Rao, K.; Rajeswari, V. 6 1993 Invariance groups of three term transformations for basic hypergeometric series. Zbl 1102.33015 Lievens, S.; Van der Jeugt, J. 6 2006 The non-commutative and discrete spatial structure of a 3D Wigner quantum oscillator. Zbl 1078.81040 King, R. C.; Palev, T. D.; Stoilova, N. I.; Van der Jeugt, J. 6 2003 A character formula for atypical critical \(\mathfrak{gl}(m|n)\) representations labelled by composite partitions. Zbl 1077.17010 Moens, E. M.; Van der Jeugt, J. 6 2004 Nonscalar extension of shift operator techniques for \(\text{SU}(3)\) in an \(\text{O}(3)\) basis. III: Shift operators of second degree in the tensor components. Zbl 0517.22021 Van der Jeugt, Joris; De Meyer, H. E.; Vanden Berghe, G. 6 1983 Harmonic oscillators coupled by springs: discrete solutions as a Wigner quantum system. Zbl 1112.81068 Lievens, S.; Stoilova, N. I.; Van der Jeugt, J. 6 2006 Realizations of \(\text{su}(1,1)\) and \(U_q(\text{su}(1,1))\) and generating functions for orthogonal polynomials. Zbl 0928.17017 Van der Jeugt, J.; Jagannathan, R. 5 1998 The total angular momentum algebra related to the \(\mathrm S_3\) Dunkl Dirac equation. Zbl 1384.81024 De Bie, Hendrik; Oste, Roy; Van der Jeugt, Joris 5 2018 Transformation formulas for double hypergeometric series related to \(9\text{-}j\) coefficients and their basic analogs. Zbl 1057.33012 Lievens, S.; Van der Jeugt, J. 5 2001 A classification of generalized quantum statistics associated with classical Lie algebras. Zbl 1067.81055 Stoilova, N. I.; Van der Jeugt, J. 5 2005 \(3nj\)-coefficients of \(\text{su}(1,1)\) as connection coefficients between orthogonal polynomials in \(n\) variables. Zbl 1060.33020 Lievens, S.; Van der Jeugt, J. 5 2002 Tensor operator realizations of \(E_ 6\) and structural zeros of the \(6j\)-symbol. Zbl 0558.17009 Vanden Berghe, G.; De Meyer, Hans; Van der Jeugt, Joris 5 1984 Exact solution of the position-dependent effective mass and angular frequency Schrödinger equation: harmonic oscillator model with quantized confinement parameter. Zbl 1519.81186 Jafarov, E. I.; Nagiyev, S. M.; Oste, R.; Van der Jeugt, J. 5 2020 Composite supersymmetric s-functions and characters of \(\mathfrak{gl}(m|n)\) representations. Zbl 1342.17004 Moens, E. M.; Van der Jeugt, J. 5 2006 Quantum state transfer in spin chains with \(q\)-deformed interaction terms. Zbl 1205.81046 Jafarov, E. I.; Van der Jeugt, J. 5 2010 On the diameter of the rotation graph of binary coupling trees. Zbl 0993.05064 Fack, V.; Lievens, S.; Van der Jeugt, J. 4 2002 Principal five-dimensional subalgebras of Lie superalgebras. Zbl 0615.17004 Van der Jeugt, Joris 4 1986 Dimension formulas for the Lie superalgebra \({\mathfrak {sl}}(m/n)\). Zbl 0833.17002 Van der Jeugt, Joris 4 1995 Polynomial deformations of \(\text{osp} (1/2)\) and generalized parabosons. Zbl 0856.17024 Van der Jeugt, Joris; Jagannathan, R. 4 1995 Representations of the Lie superalgebra \(\mathfrak{gl}(1|n)\) in a Gel’fand-Zetlin basis and Wigner quantum oscillators. Zbl 1099.17005 King, R. C.; Stoilova, N. I.; Van der Jeugt, J. 4 2006 Microscopic and macroscopic properties of \(A\)-superstatistics. Zbl 1067.81078 Palev, T. D.; Stoilova, N. I.; Van der Jeugt, J. 4 2003 Shift operator approach of the spin-isospin supermultiplet state labelling problem: Eigenvalue determination of the \(\Omega\) and \(\Phi\) labelling operators. Zbl 0538.22014 Van der Jeugt, Joris; De Meyer, H. E.; Vanden Berghe, G. 4 1983 A Wigner distribution function for finite oscillator systems. Zbl 1280.81085 Van der Jeugt, J. 4 2013 Deformed \(\mathfrak{su}(1,1)\) algebra as a model for quantum oscillators. Zbl 1248.81039 Jafarov, Elchin I.; Stoilova, Neli I.; Van der Jeugt, Joris 4 2012 A finite oscillator model related to \(\mathfrak {sl}(2|1)\). Zbl 1250.81036 Jafarov, E I; Van der Jeugt, J 4 2012 Harmonic oscillator chains as Wigner quantum systems: periodic and fixed wall boundary conditions in \(\mathfrak {gl} (1|n)\) solutions. Zbl 1152.81531 Lievens, S.; Stoilova, N. I.; Van der Jeugt, J. 4 2008 New efficient programs to calculate general recoupling coefficients. I: Generation of a summation formula. Zbl 0891.17002 Fack, V.; Pitre, S. N.; Van der Jeugt, J. 4 1994 The Wigner distribution function for the one-dimensional parabose oscillator. Zbl 1140.81425 Jafarov, E.; Lievens, S.; Van der Jeugt, J. 4 2008 The Wigner function of a \(q\)-deformed harmonic oscillator model. Zbl 1113.81078 Jafarov, E. I.; Lievens, S.; Nagiyev, S. M.; Van der Jeugt, J. 4 2007 Parafermions, parabosons and representations of \({\mathfrak{so}}(\infty)\) and \({\mathfrak{osp}}(1|\infty)\). Zbl 1181.81128 Stoilova, N. I.; Van der Jeugt, J. 3 2009 Transformations of single and double hypergeometric series from the triple sum series for the 9-\(j\) coefficients. Zbl 0919.33002 Srinivasa Rao, K.; Van der Jeugt, J. 3 1998 Calculation of general recoupling coefficients using graphical methods. Zbl 0928.65176 Fack, V.; Pitre, S. N.; Van der Jeugt, J. 3 1997 Decomposition of the polynomial kernel of arbitrary higher spin Dirac operators. Zbl 1354.30045 Eelbode, D.; Raeymaekers, T.; Van der Jeugt, J. 3 2015 Doubling (dual) Hahn polynomials: classification and applications. Zbl 1333.81141 Oste, Roy; Van der Jeugt, Joris 3 2016 A finite oscillator model with equidistant position spectrum based on an extension of \({\mathfrak{su}}(2)\). Zbl 1344.81077 Oste, Roy; van der Jeugt, Joris 3 2016 Hypergeometric series related to the \(9-j\) coefficient of \({\mathfrak{su}}(1,1)\). Zbl 0955.33007 Van der Jeugt, J. 3 2000 The Jordanian deformation of \(\text{SU}(2)\) and Clebsch-Gordan coefficients. Zbl 0942.17013 Van der Jeugt, Joris 3 1997 Structure of atypical representations of the Lie superalgebras sl(m/n). Zbl 0627.17001 Van der Jeugt, Joris 3 1987 Totally symmetric irreducible representations of the group \(\mathrm{SO}(6)\) in the principal \(\mathrm{SO}(3)\) subgroup basis. Zbl 0636.22016 Vanthournout, Jan; Van der Jeugt, Joris; De Meyer, Hans; Vanden Berghe, Guido 3 1987 \(R\)-matrix formulation of deformed boson algebra. Zbl 0785.17026 Van der Jeugt, Joris 3 1993 Adjoint boson realization of SU(\(N\)) and a family of structural zeros of \(6j\) coefficients. Zbl 0854.17007 Van der Jeugt, Joris 3 1994 The shift operator technique for \(\text{SO}(7)\) in an \([\text{SU}(2)]^ 3\) basis. I: Theory. Zbl 0554.22013 Van der Jeugt, Joris; De Wilde, P. 3 1984 On characters and dimension formulas for representations of the Lie superalgebra \(\mathfrak{gl}(m| n)\). Zbl 1229.17005 Moens, E. M.; Van der Jeugt, J. 3 2005 Analytically solvable Hamiltonians for quantum systems with a nearest-neighbour interaction. Zbl 1159.82006 Regniers, G.; Van der Jeugt, J. 3 2009 Representations of the Lie superalgebra \(\mathfrak{osp}(1|2n)\) with polynomial bases. Zbl 1489.17008 Bisbo, Asmus K.; De Bie, Hendrik; Van der Jeugt, Joris 3 2021 The Hamiltonian \(H=xp\) and classification of \(\mathfrak{osp}(1|2)\) representations. Zbl 1210.81061 Regniers, G.; Van der Jeugt, J. 3 2010 Spectrum generating functions for non-canonical quantum oscillators. Zbl 1152.81024 Lievens, S.; Van der Jeugt, J. 3 2008 Discrete series representations for \(\mathfrak{sl}(2|1)\) Meixner polynomials and oscillator models. Zbl 1278.81067 Jafarov, E. I.; Van der Jeugt, J. 3 2012 Tensor product of group representations and structural zeros of Racah coefficients. Zbl 0768.22011 Van der Jeugt, Joris 3 1992 Special functions and differential equations. Proceedings of a workshop, WSSF ’97, Madras, India, January 13–24, 1997. Zbl 0914.00063 2 1998 On classical \(\mathbb{Z}_2\times\mathbb{Z}_2\)-graded Lie algebras. Zbl 1516.17025 Stoilova, N. I.; Van der Jeugt, J. 2 2023 The \(\mathbb{Z}_2\times\mathbb{Z}_2\)-graded Lie superalgebras \(\mathfrak{pso}(2n+1|2n)\) and \(\mathfrak{pso}(\infty|\infty)\), and parastatistics Fock spaces. Zbl 1505.81050 Stoilova, N. I.; Van der Jeugt, J. 2 2022 Finite-dimensional representations of the symmetry algebra of the dihedral Dunkl-Dirac operator. Zbl 1498.16037 De Bie, Hendrik; Langlois-Rémillard, Alexis; Oste, Roy; Van der Jeugt, Joris 2 2022 Representations of the Lie superalgebra \(\mathfrak{osp}(1|2n)\) with polynomial bases. Zbl 1489.17008 Bisbo, Asmus K.; De Bie, Hendrik; Van der Jeugt, Joris 3 2021 The \(\mathbb{Z}_2 \times \mathbb{Z}_2\)-graded general linear Lie superalgebra. Zbl 1448.17033 Isaac, Phillip S.; Stoilova, N. I.; Van der Jeugt, Joris 10 2020 Exact solution of the position-dependent effective mass and angular frequency Schrödinger equation: harmonic oscillator model with quantized confinement parameter. Zbl 1519.81186 Jafarov, E. I.; Nagiyev, S. M.; Oste, R.; Van der Jeugt, J. 5 2020 Partition functions and thermodynamic properties of paraboson and parafermion systems. Zbl 1448.82008 Stoilova, N. I.; Van der Jeugt, J. 1 2020 The \(\mathbb {Z} \times\mathbb{Z}_2\) -graded Lie superalgebra \( \mathfrak{pso}(2m+1| 2n)\) and new parastatistics representations. Zbl 1390.81766 Stoilova, N. I.; Der Jeugt, J.van 19 2018 On the algebra of symmetries of Laplace and Dirac operators. Zbl 1397.81085 De Bie, Hendrik; Oste, Roy; Van der Jeugt, Joris 11 2018 The total angular momentum algebra related to the \(\mathrm S_3\) Dunkl Dirac equation. Zbl 1384.81024 De Bie, Hendrik; Oste, Roy; Van der Jeugt, Joris 5 2018 Symmetries of the \(S_3\) Dirac-Dunkl operator. Zbl 1409.22018 De Bie, Hendrik; Oste, Roy; Van der Jeugt, Joris 1 2018 Tridiagonal test matrices for eigenvalue computations: two-parameter extensions of the Clement matrix. Zbl 1354.65075 Oste, Roy; Van der Jeugt, Joris 13 2017 Generalized Fourier transforms arising from the enveloping algebras of \(\mathfrak{sl}(2)\) and \(\mathfrak{osp}(1| 2\)). Zbl 1404.43010 De Bie, Hendrik; Oste, Roy; Van der Jeugt, Joris 16 2016 Doubling (dual) Hahn polynomials: classification and applications. Zbl 1333.81141 Oste, Roy; Van der Jeugt, Joris 3 2016 A finite oscillator model with equidistant position spectrum based on an extension of \({\mathfrak{su}}(2)\). Zbl 1344.81077 Oste, Roy; van der Jeugt, Joris 3 2016 Gel’fand-Zetlin basis for a class of representations of the Lie superalgebra \(\mathfrak{gl}(\infty|\infty)\). Zbl 1350.17008 Stoilova, N. I.; Van der Jeugt, J. 2 2016 The parastatistics Fock space and explicit infinite-dimensional representations of the Lie superalgebra \(\mathfrak{osp}(2m+1|2n)\). Zbl 1387.17016 Stoilova, N. I.; Van der Jeugt, J. 1 2016 Motzkin paths, Motzkin polynomials and recurrence relations. Zbl 1310.05013 Oste, Roy; Van der Jeugt, Joris 11 2015 A class of infinite-dimensional representations of the Lie superalgebra \(\mathfrak{osp}(2m+1|2n)\) and the parastatistics Fock space. Zbl 1328.17009 Stoilova, N. I.; Van der Jeugt, J. 10 2015 Decomposition of the polynomial kernel of arbitrary higher spin Dirac operators. Zbl 1354.30045 Eelbode, D.; Raeymaekers, T.; Van der Jeugt, J. 3 2015 The Wigner distribution function for the \(\mathfrak {su}(2)\) finite oscillator and Dyck paths. Zbl 1307.81045 Oste, Roy; Van der Jeugt, Joris 2 2014 The Husimi distribution function and superposition of \(Q\)-harmonic oscillator stationary states. Zbl 1330.81143 Atakishiyev, Natig M.; Jafarov, Elchin I.; Jafarova, Aynura M.; Van der Jeugt, J. 1 2014 On a pair of difference equations for the \(_4F_3\) type orthogonal polynomials and related exactly-solvable quantum systems. Zbl 1317.81144 Jafarov, E. I.; Stoilova, N. I.; Van der Jeugt, J. 1 2014 A Wigner distribution function for finite oscillator systems. Zbl 1280.81085 Van der Jeugt, J. 4 2013 The oscillator model for the Lie superalgebra \(\mathfrak{sh}(2|2)\) and Charlier polynomials. Zbl 1284.81145 Jafarov, E. I.; Van der Jeugt, J. 2 2013 Finite oscillator models described by the Lie superalgebra \(\mathfrak{sl}(2|1)\). Zbl 1297.81085 Van der Jeugt, J. 1 2013 Wigner quantization and Lie superalgebra representations. Zbl 1276.81080 Van der Jeugt, Joris 1 2013 Deformed \(\mathfrak{su}(1,1)\) algebra as a model for quantum oscillators. Zbl 1248.81039 Jafarov, Elchin I.; Stoilova, Neli I.; Van der Jeugt, Joris 4 2012 A finite oscillator model related to \(\mathfrak {sl}(2|1)\). Zbl 1250.81036 Jafarov, E I; Van der Jeugt, J 4 2012 Discrete series representations for \(\mathfrak{sl}(2|1)\) Meixner polynomials and oscillator models. Zbl 1278.81067 Jafarov, E. I.; Van der Jeugt, J. 3 2012 The \(\mathfrak{su}(2)_\alpha\) Hahn oscillator and a discrete Fourier-Hahn transform. Zbl 1231.81030 Jafarov, E. I.; Stoilova, N. I.; Van der Jeugt, J. 15 2011 Finite oscillator models: the Hahn oscillator. Zbl 1220.81091 Jafarov, E. I.; Stoilova, N. I.; Van der Jeugt, J. 10 2011 An exactly solvable spin chain related to Hahn polynomials. Zbl 1220.82029 Stoilova, Neli I.; Van der Jeugt, Joris 7 2011 Gel’fand-Zetlin basis and Clebsch-Gordan coefficients for covariant representations of the Lie superalgebra \(\mathfrak{gl}(m \mid n)\). Zbl 1309.17003 Stoilova, N. I.; Van der Jeugt, J. 10 2010 Quantum communication through a spin chain with interaction determined by a Jacobi matrix. Zbl 1197.81071 Chakrabarti, R.; Van der Jeugt, J. 9 2010 Quantum state transfer in spin chains with \(q\)-deformed interaction terms. Zbl 1205.81046 Jafarov, E. I.; Van der Jeugt, J. 5 2010 The Hamiltonian \(H=xp\) and classification of \(\mathfrak{osp}(1|2)\) representations. Zbl 1210.81061 Regniers, G.; Van der Jeugt, J. 3 2010 Transition to sub-Planck structures through the superposition of \(q\)-oscillator stationary states. Zbl 1238.81097 Jafarov, E. I.; Van der Jeugt, J. 2 2010 Wigner quantization of some one-dimensional Hamiltonians. Zbl 1314.81121 Regniers, G.; Van der Jeugt, J. 1 2010 Parafermions, parabosons and representations of \({\mathfrak{so}}(\infty)\) and \({\mathfrak{osp}}(1|\infty)\). Zbl 1181.81128 Stoilova, N. I.; Van der Jeugt, J. 3 2009 Analytically solvable Hamiltonians for quantum systems with a nearest-neighbour interaction. Zbl 1159.82006 Regniers, G.; Van der Jeugt, J. 3 2009 The paraboson Fock space and unitary irreducible representations of the Lie superalgebra \({\mathfrak{osp}(1|2n)}\). Zbl 1184.17004 Lievens, S.; Stoilova, N. I.; Van der Jeugt, J. 17 2008 The parafermion Fock space and explicit \(\mathfrak{so}(2n+1) \) representations. Zbl 1138.81023 Stoilova, N. I.; Van der Jeugt, J. 14 2008 Harmonic oscillator chains as Wigner quantum systems: periodic and fixed wall boundary conditions in \(\mathfrak {gl} (1|n)\) solutions. Zbl 1152.81531 Lievens, S.; Stoilova, N. I.; Van der Jeugt, J. 4 2008 The Wigner distribution function for the one-dimensional parabose oscillator. Zbl 1140.81425 Jafarov, E.; Lievens, S.; Van der Jeugt, J. 4 2008 Spectrum generating functions for non-canonical quantum oscillators. Zbl 1152.81024 Lievens, S.; Van der Jeugt, J. 3 2008 Symmetry groups of Bailey’s transformations for \(_{10}\phi _{9}\)-series. Zbl 1123.33014 Lievens, S.; Van der Jeugt, J. 8 2007 The Wigner function of a \(q\)-deformed harmonic oscillator model. Zbl 1113.81078 Jafarov, E. I.; Lievens, S.; Nagiyev, S. M.; Van der Jeugt, J. 4 2007 Classification of generalized quantum statistics associated with the exceptional Lie (super)algebras. Zbl 1137.81347 Stoilova, N. I.; Van der Jeugt, J. 2 2007 On the eigenvalue problem for arbitrary odd elements of the Lie superalgebra \(\mathfrak{gl}(1|n)\) and applications. Zbl 1118.81044 Lievens, S.; Stoilova, N. I.; Van der Jeugt, J. 1 2007 Invariance groups of three term transformations for basic hypergeometric series. Zbl 1102.33015 Lievens, S.; Van der Jeugt, J. 6 2006 Harmonic oscillators coupled by springs: discrete solutions as a Wigner quantum system. Zbl 1112.81068 Lievens, S.; Stoilova, N. I.; Van der Jeugt, J. 6 2006 Composite supersymmetric s-functions and characters of \(\mathfrak{gl}(m|n)\) representations. Zbl 1342.17004 Moens, E. M.; Van der Jeugt, J. 5 2006 Representations of the Lie superalgebra \(\mathfrak{gl}(1|n)\) in a Gel’fand-Zetlin basis and Wigner quantum oscillators. Zbl 1099.17005 King, R. C.; Stoilova, N. I.; Van der Jeugt, J. 4 2006 The finite group of the Kummer solutions. Zbl 1071.33006 Lievens, S.; Srinivasa Rao, K.; Van der Jeugt, J. 7 2005 A classification of generalized quantum statistics associated with classical Lie algebras. Zbl 1067.81055 Stoilova, N. I.; Van der Jeugt, J. 5 2005 On characters and dimension formulas for representations of the Lie superalgebra \(\mathfrak{gl}(m| n)\). Zbl 1229.17005 Moens, E. M.; Van der Jeugt, J. 3 2005 Fundamental fermions fit inside one \(\text{su}(1|5)\) irreducible representation. Zbl 1104.81087 Stoilova, N. I.; Van der Jeugt, J. 2 2005 Solutions of the compatibility conditions for a Wigner quantum oscillator. Zbl 1086.81038 Stoilova, N. I.; Van der Jeugt, J. 1 2005 A classification of generalized quantum statistics associated with basic classical Lie superalgebras. Zbl 1111.81081 Stoilova, N. I.; Van der Jeugt, J. 1 2005 On dimension formulas for \({\mathfrak {gl}} (m| n)\) representations. Zbl 1085.17007 Moens, E. M.; Van der Jeugt, J. 7 2004 A character formula for atypical critical \(\mathfrak{gl}(m|n)\) representations labelled by composite partitions. Zbl 1077.17010 Moens, E. M.; Van der Jeugt, J. 6 2004 A determinantal formula for supersymmetric Schur polynomials. Zbl 1020.05070 Moens, E. M.; Van der Jeugt, J. 27 2003 \(3nj\)-coefficients and orthogonal polynomials of hypergeometric type. Zbl 1038.33007 Van der Jeugt, Joris 10 2003 A non-commutative \(n\)-particle 3D Wigner quantum oscillator. Zbl 1055.81017 King, R. C.; Palev, T. D.; Stoilova, N. I.; Van der Jeugt, J. 8 2003 The non-commutative and discrete spatial structure of a 3D Wigner quantum oscillator. Zbl 1078.81040 King, R. C.; Palev, T. D.; Stoilova, N. I.; Van der Jeugt, J. 6 2003 Microscopic and macroscopic properties of \(A\)-superstatistics. Zbl 1067.81078 Palev, T. D.; Stoilova, N. I.; Van der Jeugt, J. 4 2003 Jacobson generators, Fock representations and statistics of \(\text{sl}(n+1)\). Zbl 1060.81532 Palev, T. D.; Van der Jeugt, J. 11 2002 Transformation formula for a double Clausenian hypergeometric series, its \(q\)-analogue, and its invariance group. Zbl 0994.33007 Van der Jeugt, J. 8 2002 \(3nj\)-coefficients of \(\text{su}(1,1)\) as connection coefficients between orthogonal polynomials in \(n\) variables. Zbl 1060.33020 Lievens, S.; Van der Jeugt, J. 5 2002 On the diameter of the rotation graph of binary coupling trees. Zbl 0993.05064 Fack, V.; Lievens, S.; Van der Jeugt, J. 4 2002 Macroscopic properties of \(A\)-statistics. Zbl 0993.81030 Jellal, A.; Palev, T. D.; Van der Jeugt, J. 7 2001 Transformation formulas for double hypergeometric series related to \(9\text{-}j\) coefficients and their basic analogs. Zbl 1057.33012 Lievens, S.; Van der Jeugt, J. 5 2001 Realizations of the Lie superalgebra \(q(2)\) and applications. Zbl 1052.81041 Debergh, N.; Van der Jeugt, J. 1 2001 Fock representations of the superalgebra \(\text{sl}(n+1|m)\), its quantum analogue \(U_q[\text{sl}(n+1|m)]\) and related quantum statistics. Zbl 1028.17006 Palev, T. D.; Stoilova, N. I.; Van der Jeugt, J. 6 2000 Hypergeometric series related to the \(9-j\) coefficient of \({\mathfrak{su}}(1,1)\). Zbl 0955.33007 Van der Jeugt, J. 3 2000 Fock representations of the Lie superalgebra \(q(n+1)\). Zbl 1022.17006 Palev, T.; Van der Jeugt, J. 2 2000 Characters and composition factor multiplicities for the Lie superalgebra \({\mathfrak{gl}}(m/n)\). Zbl 0932.17009 Van der Jeugt, J.; Zhang, R. B. 15 1999 Invariance groups of transformations of basic hypergeometric series. Zbl 0956.33012 Van der Jeugt, J.; Srinivasa Rao, K. 15 1999 Bilinear generating functions for orthogonal polynomials. Zbl 0941.33011 Koelink, H. T.; Van der Jeugt, J. 9 1999 On bounds for the rotation distance between binary coupling trees. Zbl 1039.05515 Fack, V.; Lievens, S.; Van der Jeugt, J. 1 1999 Convolutions for orthogonal polynomials from Lie and quantum algebra representations. Zbl 0977.33013 Koelink, H. T.; Van der Jeugt, J. 45 1998 Realizations of \(\text{su}(1,1)\) and \(U_q(\text{su}(1,1))\) and generating functions for orthogonal polynomials. Zbl 0928.17017 Van der Jeugt, J.; Jagannathan, R. 5 1998 Transformations of single and double hypergeometric series from the triple sum series for the 9-\(j\) coefficients. Zbl 0919.33002 Srinivasa Rao, K.; Van der Jeugt, J. 3 1998 Special functions and differential equations. Proceedings of a workshop, WSSF ’97, Madras, India, January 13–24, 1997. Zbl 0914.00063 2 1998 Representations and Clebsch-Gordan coefficients for the Jordanian quantum algebra \(\mathcal U_h(\text{sl}(2))\). Zbl 0991.81049 Van der Jeugt, J. 2 1998 Coupling coefficients for Lie algebra representations and addition formulas for special functions. Zbl 0897.17005 Van der Jeugt, J. 17 1997 Transformation and summation formulas for double hypergeometric series. Zbl 0884.33009 Van der Jeugt, J.; Pitre, S. N.; Srinivasa Rao, K. 11 1997 Calculation of general recoupling coefficients using graphical methods. Zbl 0928.65176 Fack, V.; Pitre, S. N.; Van der Jeugt, J. 3 1997 The Jordanian deformation of \(\text{SU}(2)\) and Clebsch-Gordan coefficients. Zbl 0942.17013 Van der Jeugt, Joris 3 1997 Transformation and summation formulas for Kampé de Fériet series \(F^{0:3}_{1:1} (1,1)\). Zbl 0861.33013 Pitre, S. N.; Van der Jeugt, Joris 13 1996 The polynomial zeros of degree \(2\) of the \(9\)-\(j\) coefficient. Zbl 1291.33019 Srinivasa Rao, K.; Pitre, Sangita N.; Van der Jeugt, J. 2 1996 On the Lie superalgebra embedding \(C(n+1)\supset B(0,n)\) and dimension formulas. Zbl 0870.17003 Van der Jeugt, J. 1 1996 Finite-dimensional representations of the quantum group \(\text{GL}_{p,q} (2)\) using the exponential map from \(U_{p,q} (\text{gl} (2))\). Zbl 0836.17016 Jagannathan, R.; Van der Jeugt, Joris 11 1995 The quantum superalgebra \(U_ q[osp(1/2n)]\): deformed para-Bose operators and root of unity representations. Zbl 0853.17017 Palev, T. D.; Van der Jeugt, Joris 10 1995 Dimension formulas for the Lie superalgebra \({\mathfrak {sl}}(m/n)\). Zbl 0833.17002 Van der Jeugt, Joris 4 1995 Polynomial deformations of \(\text{osp} (1/2)\) and generalized parabosons. Zbl 0856.17024 Van der Jeugt, Joris; Jagannathan, R. 4 1995 New efficient programs to calculate general recoupling coefficients. II: Evaluation of a summation formula. Zbl 0891.17003 Fack, V.; Pitre, S. N.; Van der Jeugt, J. 2 1995 Finite-dimensional representations of the quantum superalgebra \(U_ q[gl(n/m)]\) and related \(q\)-identities. Zbl 0853.17016 Palev, T. D.; Stoilova, N. I.; Van der Jeugt, Joris 19 1994 Multiple hypergeometric functions and \(9-j\) coefficients. Zbl 0847.33009 Van der Jeugt, Joris; Pitre, Sangita N.; Srinivasa Rao, K. 11 1994 ...and 43 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 595 Authors 84 Van der Jeugt, Joris 27 Stoilova, Nedjalka I. 22 Vinet, Luc 15 Zhang, Ruibin 13 De Bie, Hendrik 13 Su, Yucai 13 Vanden Berghe, Guido 11 Lievens, Stijn 11 Oste, Roy 11 Zhedanov, Alexei S. 10 Aizawa, Naruhiko 9 De Meyer, Hans E. 9 Palev, Tchavdar D. 8 Gould, Mark D. 8 Groenevelt, Wolter G. M. 7 Chung, Won-Sang 7 Jafarov, Elchin I. 7 Mejjaoli, Hatem 7 Toppan, Francesco 6 Ben Saïd, Salem 6 Cheng, Shun-Jen 6 Genest, Vincent X. 6 Hughes, J. W. B. 6 Isaac, Phillip S. 6 King, Ronald C. 6 Nagiyev, Shakir M. 5 Chu, Wenchang 5 Crampé, Nicolas 5 Fack, Veerle 5 Moriyama, Sanefumi 5 Shakibi, H. 5 Terwilliger, Paul M. 4 Atakishiev, Natig M. 4 Jia, Cangzhi 4 Karp, Dmitriĭ Borisovich 4 Koelink, Erik 4 Kuznetsova, Zhanna G. 4 Lee Shader, Chanyoung 4 Mishev, Ilia D. 4 Segar, Jambulingam 4 Srinivasa Rao, K. N. 4 Vanthournout, Jan 4 Wang, Weiqiang 3 Abdesselam, Abdelmalek 3 Alev, Jacques 3 Ališauskas, Sigitas 3 Amakawa, Kosuke 3 Area, Iván 3 Bisbo, Asmus K. 3 da Fonseca, Carlos Martins 3 Daoud, Mohammed 3 Daumens, Michel 3 de Guise, Hubert 3 Dumas, François 3 Eelbode, David 3 El Kamel, Jamel 3 Ernst, Thomas 3 Frahm, Holger 3 Frappat, Luc 3 Gade, R. M. 3 Green, Richard M. 3 Hassanabadi, Hassan 3 Heidersdorf, Thorsten 3 Iliev, Plamen 3 Ismail, Mourad El-Houssieny 3 Ivanov, Evgeniĭ Alekseevich 3 Jafarova, Aynura M. 3 Jday, Rim 3 Jiang, Zhaolin 3 Kwon, Jae-Hoon 3 Langlois-Rémillard, Alexis 3 Martins, Márcio José 3 Patera, Jiří 3 Penkov, Ivan B. 3 Pitre, Sangita N. 3 Poulain D’Andecy, Loïc 3 Prilepkina, Elena Gumarovna 3 Ram, Arun 3 Rosengren, Hjalmar 3 Serganova, Vera V. 3 Sergeev, Aleksandr Nikolaevich 3 Sharp, Robert T. 3 Stade, Eric 3 Tsuboi, Zengo 3 Vidunas, Raimundas 3 Zheng, Yanpeng 2 Baseilhac, Pascal 2 Beckers, Jules 2 Bình, Nguyên Luong Thái 2 Campbell, John Maxwell 2 Chakrabarti, Ranabir 2 Constales, Denis 2 Coulembier, Kevin 2 Cummins, Chris J. 2 De Martino, Marcelo 2 De Wit, David 2 Deleaval, Luc 2 Dewilde, Patrick M. 2 Dimitrov, Dimitar K. 2 Doi, Shunya ...and 495 more Authors all top 5 Cited in 138 Serials 129 Journal of Mathematical Physics 20 Journal of Algebra 20 Journal of Physics A: Mathematical and Theoretical 16 Journal of High Energy Physics 15 Communications in Mathematical Physics 15 Journal of Computational and Applied Mathematics 14 Theoretical and Mathematical Physics 13 Nuclear Physics. 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