Satoru Odake

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Person:200329

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zbMath Open odake.satoruMaRDI QIDQ200329

List of research outcomes

PublicationDate of PublicationType
New finite-type multi-indexed orthogonal polynomials obtained from state-adding Darboux transformations2023-10-04Paper
Discrete orthogonality relations for the multi-indexed orthogonal polynomials in discrete quantum mechanics with pure imaginary shifts2023-06-07Paper
Wronskian/Casoratian identities and their application to quantum mechanical systems2023-01-23Paper
Another Type of Forward and Backward Shift Relations for Orthogonal Polynomials in the Askey Scheme2023-01-02Paper
Markov chains generated by convolutions of orthogonality measures2022-11-29Paper
"Diophantine and Factorisation Properties of Finite Orthogonal Polynomials in the Askey Scheme2022-07-29Paper
Free oscillator realization of Laguerre polynomials2022-03-03Paper
Exactly solvable discrete quantum mechanical systems and multi-indexed orthogonal polynomials of the continuous Hahn and Meixner–Pollaczek types2021-10-15Paper
Dual polynomials of the multi-indexed (q-)Racah orthogonal polynomials2021-10-11Paper
Casoratian identities for the discrete orthogonal polynomials in discrete quantum mechanics with real shifts2021-09-27Paper
New determinant expressions of multi-indexed orthogonal polynomials in discrete quantum mechanics2021-09-27Paper
Markov Chains Generated by Convolutions of Orthogonality Measures2021-06-07Paper
Recurrence relations of the multi-indexed orthogonal polynomials. VI. Meixner–Pollaczek and continuous Hahn types2020-07-16Paper
Wronskian/Casoratian Identities and their Application to Quantum Mechanical Systems2020-02-29Paper
Recurrence relations of the multi-indexed orthogonal polynomials V: Racah and q -Racah types2019-03-15Paper
Orthogonal polynomials from Hermitian matrices. II2018-02-08Paper
Casoratian Identities for the Discrete Orthogonal Polynomials in Discrete Quantum Mechanics with Real Shifts2017-08-05Paper
Multi-indexed Meixner and littleq-Jacobi (Laguerre) polynomials2017-06-13Paper
Shape Invariant Potentials in "Discrete Quantum Mechanics"2017-05-30Paper
Simplified expressions of the multi-indexed Laguerre and Jacobi polynomials2017-05-03Paper
Recurrence relations of the multi-indexed orthogonal polynomials. IV. Closure relations and creation/annihilation operators2016-12-07Paper
Recurrence relations of the multi-indexed orthogonal polynomials. III2016-03-21Paper
\(q\)-oscillator from the \(q\)-Hermite polynomial2016-01-12Paper
Solvable discrete quantum mechanics: q-orthogonal polynomials with q=1 and quantum dilogarithm2015-08-10Paper
Recurrence relations of the multi-indexed orthogonal polynomials. II2015-06-04Paper
Unified theory of exactly and quasiexactly solvable “discrete” quantum mechanics. I. Formalism2015-05-27Paper
Infinitely many shape-invariant potentials and cubic identities of the Laguerre and Jacobi polynomials2015-05-06Paper
Reflectionless potentials for difference Schrödinger equations2015-04-14Paper
Casoratian identities for the Wilson and Askey-Wilson polynomials2015-04-01Paper
Equivalences of the multi-indexed orthogonal polynomials2014-05-07Paper
Non-polynomial extensions of solvable potentials à la Abraham-Moses2014-04-17Paper
Recurrence relations of the multi-indexed orthogonal polynomials2014-04-07Paper
Extensions of solvable potentials with finitely many discrete eigenstates2013-07-11Paper
Krein–Adler transformations for shape-invariant potentials and pseudo virtual states2013-07-11Paper
Multi-indexed Wilson and Askey–Wilson polynomials2013-05-17Paper
Exact solution in the Heisenberg picture and annihilation-creation operators2012-10-18Paper
Multi-indexed (q-)Racah polynomials2012-10-16Paper
Properties of the exceptional \((X_{l})\) Laguerre and Jacobi polynomials2012-06-26Paper
Dual Christoffel Transformations2011-11-17Paper
Discrete quantum mechanics2011-10-10Paper
The Exceptional (X ) (q)-Racah Polynomials2011-08-16Paper
A new family of shape invariantly deformed Darboux–Pöschl–Teller potentials with continuous ℓ2011-06-03Paper
Exactly Solvable Quantum Mechanics and Infinite Families of Multi-indexed Orthogonal Polynomials2011-05-03Paper
Modification of Crum's Theorem for 'Discrete' Quantum Mechanics2010-10-27Paper
Exceptional Askey–Wilson-type polynomials through Darboux–Crum transformations2010-09-13Paper
Crum's Theorem for 'Discrete' Quantum Mechanics2010-03-22Paper
Another set of infinitely many exceptional (X_{\ell}) Laguerre polynomials2009-11-17Paper
Infinitely many shape invariant discrete quantum mechanical systems and new exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomials2009-09-20Paper
Infinitely many shape invariant potentials and new orthogonal polynomials2009-05-31Paper
Orthogonal polynomials from Hermitian matrices2009-01-23Paper
Exact Heisenberg operator solutions for multiparticle quantum mechanics2008-12-08Paper
Multiparticle quasiexactly solvable difference equations2008-12-08Paper
Exactly Solvable 'Discrete' Quantum Mechanics; Shape Invariance, Heisenberg Solutions, Annihilation-Creation Operators and Coherent States2008-11-03Paper
Calogero-Sutherland-Moser Systems, Ruijsenaars-Schneider-van Diejen Systems and Orthogonal Polynomials2007-11-09Paper
Interpolation of SUSY quantum mechanics2007-10-19Paper
Equilibrium positions, shape invariance and Askey–Wilson polynomials2007-05-16Paper
Unified theory of annihilation-creation operators for solvable (“discrete”) quantum mechanics2007-05-16Paper
COMMENTS ON THE DEFORMED WN ALGEBRA2005-08-30Paper
Equilibrium Positions and Eigenfunctions of Shape Invariant (`Discrete') Quantum Mechanics2005-05-09Paper
Polynomials associated with equilibria of affine Toda–Sutherland systems2005-03-21Paper
Equilibria of ‘discrete’ integrable systems and deformation of classical orthogonal polynomials2005-02-28Paper
Polynomials associated with equilibrium positions in Calogero Moser systems2004-06-10Paper
https://portal.mardi4nfdi.de/entity/Q45509582002-11-20Paper
https://portal.mardi4nfdi.de/entity/Q31524962002-01-01Paper
Free field construction for the ABF models in regime II.2001-08-28Paper
c=3d CONFORMAL ALGEBRA WITH EXTENDED SUPERSYMMETRY2001-07-31Paper
Quasi-Hopf twistors for elliptic quantum groups2001-04-25Paper
UNITARY REPRESENTATIONS OF W INFINITY ALGEBRAS2001-01-14Paper
Elliptic algebra \(U_{q,p} (\widehat {\mathfrak {sl}}_2)\): Drinfeld currents and vertex operators2000-07-25Paper
https://portal.mardi4nfdi.de/entity/Q47041591999-12-02Paper
Free field approach to the dilute AL models1999-11-21Paper
https://portal.mardi4nfdi.de/entity/Q43945061998-09-13Paper
https://portal.mardi4nfdi.de/entity/Q43350271998-02-08Paper
\(q\)-difference realization of \(U_q(sl(M|N))\) and its application to free boson realization of \(U_q(\widehat{sl}(2|1))\)1997-12-14Paper
Quantum \({\mathcal W}_ N\) algebras and Macdonald polynomials1997-10-30Paper
Vertex operators of the \(q\)-Virasoro algebra; defining relations, adjoint actions and four point functions1997-10-23Paper
Character and determinant formulae of quasifinite representation of the \(W_{1+\infty}\) algebra1997-01-09Paper
A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions1996-10-31Paper
Subalgebras of W1+ infinityand their quasifinite representations1996-08-12Paper
Integral representations of the Macdonald symmetric polynomials1996-08-05Paper
Reflection \(K\)-matrices of the 19-vertex model and \(XXZ\) spin-1 chain with general boundary terms1996-05-21Paper
Excited states of the Calogero-Sutherland model and singular vectors of the \(W_N\) algebra1995-08-09Paper
Quasifinite highest weight modules over the super \(W_{1+\infty}\) algebra1995-06-22Paper
Collective field theory, Calogero-Sutherland model and generalized matrix models1995-03-15Paper
Eigensystem and full character formula of the \(\mathcal W_{1+\infty}\) algebra with \(c=1\)1994-09-26Paper
Free boson realization of \(U_ q(\widehat{sl_ N} )\)1994-05-26Paper
Heisenberg realization for \(U_ q(\text{sl}_ n)\) on the flag manifold1994-05-19Paper
Free boson representation of \(U_ q(\widehat {sl}_ 3)\)1994-05-19Paper
Determinant formulae of quasi-finite representation of \(W_{1+\infty}\) algebra at lower levels1994-01-01Paper
Quantum Deformation of the W_N Algebra0001-01-03Paper
Type II Multi-indexed Little $q$-Jacobi and Little $q$-Laguerre Polynomials0001-01-03Paper

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