The Exceptional (X_l) (q)-Racah Polynomials(General and Mathematical Physics)
スポンサーリンク
概要
- 論文の詳細を見る
The exceptional Racah and q-Racah polynomials are constructed. Together with the exceptional Laguerre, Jacobi, Wilson and Askey-Wilson polynomials discovered by the present authors in 2009, they exhaust the generic exceptional orthogonal polynomials of a single variable.
- 2011-05-25
著者
-
ODAKE Satoru
Department of Physics, Shinshu University
-
SASAKI Ryu
Yukawa Institute for Theoretical Physics, Kyoto University
-
Sasaki R
Kyoto Univ. Kyoto Jpn
-
Sasaki Ryu
Yukawa Institute For Theoretical Physics Kyoto University
-
Odake Satoru
Department Of Physics Faculty Of Liberal Arts Shinshu University
-
SASAKI Ryu
Uji Research Center, Yukawa Institute for Theoretical Physics Kyoto University:Department of Mathematical Sciences, University of Durham
関連論文
- Modification of Crum's Theorem for 'Discrete' Quantum Mechanics(General and Mathematical Physics)
- Virasoro-type Symmetries in Solvable Models(Discretizations of Integrable Systems : Theory and Applications)
- Lax Pair for SU (n) Hubbard Model
- The Ruijsenaars-Schneider Model : Particles and Fields
- Singularity Analysis in A_n Affine Toda Theories : Particles and Fields
- μ-e Universality and the Spontaneous μ-e Mass Splitting
- Boundary Effects in Integrable Field Theory on a Half Line
- Calogero-Sutherland-Moser Systems, Ruijsenaars-Schneider-van Diejen Systems and Orthogonal Polynomials(Particles and Fields)
- Calogero-Moser Models. V : Supersymmetry and Quantum Lax Pair
- Generalised Calogero-Moser Models and Universal Lax Pair Operators
- Calogero-Moser Models. II : Symmetries and Foldings : General and Mathematical Physics
- Calogero-Moser Models. I : A New Formulation : General and Mathematical Physics
- Instability of Solitons in Imaginary Coupling Affine Toda Field Theory
- Calogero-Moser Models. IV : Limits to Toda Theory
- Covariance Properties of Reflection Equation Algebras : Particles and Fields
- Negative Binomial States of Quantized Radiation Fields
- The Exceptional (X_l) (q)-Racah Polynomials(General and Mathematical Physics)
- Primary Fields in a Unitary Representation of Virasoro Algebras : Particles and Fields
- Crum's Theorem for 'Discrete' Quantum Mechanics(General and Mathamatical Physics)
- Deformed Fokker-Planck Equations(Condensed Matter and Statistical Physics)
- Exactly Solvable 'Discrete' Quantum Mechanics; Shape Invariance, Heisenberg Solutions, Annihilation-Creation Operators and Coherent States(Particles and Fields)
- Phase Structure of the SU(3) Gauge-Higgs System.II : Adjoint Higgs : Particles and Fields
- Dual Christoffel Transformations(General and Mathematical Physics)
- Classical Solutions for the Supersymmetric Grassmannian Sigma Models in Two Dimensions. II : Particles and Fields
- Calogero-Moser Models III : Elliptic Potentials and Twisting : General and Mathematical Physics
- Super Virasoro Alegebra and Solvable Supersymmetric Quantum Field Theories : Particles and Fields
- Non-Canonical Folding of Dynkin Diagrams and Reduction of Affine Toda Theories
- Nature of the Schwinger Term in Spinor Electrodynamics
- Exact Classical Solutions of the Coupled System of 0(5) Gauge Fields with Massless Scalar Fields in Euclidean Space
- Dispersion Approach to Homogeneous Renormalization Group Equations
- Dispersion Approach to Anomalies in the Axial-Vector Ward-Takahashi Identities
- Renormalization of the σ-Model Based on Dispersion Relations and Ward-Tkahashi Identities
- Representation Theory of the W_ Algebra
- The Exceptional (X_l) (q)-Racah Polynomials
- Power Laws in the Dispersive Approach to Field Theory
- Ward-Takahashi Identities in Quantum Electrodynamics
- Crum's Theorem for 'Discrete' Quantum Mechanics
- Instability of Solitons in Imaginary Coupling Affine toda Field Theory
- Calogero-Moser Models. I : A New Formulation : General and Mathematical Physics
- Calogero-Sutherland-Moser Systems, Ruijsenaars-Schneider-van Diejen Systems and Orthogonal Polynomials(Particles and Fields)