Recurrence relations of the multi-indexed orthogonal polynomials V: Racah and q -Racah types
DOI10.1063/1.5038057zbMath1440.42122arXiv1804.10352OpenAlexW2799024030MaRDI QIDQ4628757
Publication date: 15 March 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.10352
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Many-body theory; quantum Hall effect (81V70) Operator algebra methods applied to problems in quantum theory (81R15) Numerical aspects of recurrence relations (65Q30)
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Cites Work
- Two-step Darboux transformations and exceptional Laguerre polynomials
- An extension of Bochner's problem: exceptional invariant subspaces
- Exceptional Meixner and Laguerre orthogonal polynomials
- Casoratian identities for the Wilson and Askey-Wilson polynomials
- Recurrence relations of the multi-indexed orthogonal polynomials. III
- Recurrence relations of the multi-indexed orthogonal polynomials. IV. Closure relations and creation/annihilation operators
- Krein–Adler transformations for shape-invariant potentials and pseudo virtual states
- On orthogonal polynomials spanning a non-standard flag
- Multi-indexed (q-)Racah polynomials
- The Exceptional (X ) (q)-Racah Polynomials
- Dual Christoffel Transformations
- Orthogonal polynomials from Hermitian matrices. II
- Modification of Crum's Theorem for 'Discrete' Quantum Mechanics
- Casoratian identities for the discrete orthogonal polynomials in discrete quantum mechanics with real shifts
- New determinant expressions of multi-indexed orthogonal polynomials in discrete quantum mechanics
- Unified theory of annihilation-creation operators for solvable (“discrete”) quantum mechanics
- Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry
- Exactly Solvable 'Discrete' Quantum Mechanics; Shape Invariance, Heisenberg Solutions, Annihilation-Creation Operators and Coherent States
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux–Crum transformations
- Multi-indexed Wilson and Askey–Wilson polynomials
- Dual polynomials of the multi-indexed (q-)Racah orthogonal polynomials
- A new recurrence formula for generic exceptional orthogonal polynomials
- Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials
- Recurrence relations of the multi-indexed orthogonal polynomials. II
- Unified theory of exactly and quasiexactly solvable “discrete” quantum mechanics. I. Formalism
- Multi-indexed Meixner and littleq-Jacobi (Laguerre) polynomials
- Crum's Theorem for 'Discrete' Quantum Mechanics
- Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials
- Recurrence relations of the multi-indexed orthogonal polynomials
- Solvable discrete quantum mechanics: q-orthogonal polynomials with q=1 and quantum dilogarithm
- Orthogonal polynomials from Hermitian matrices
- Discrete quantum mechanics
- Recurrence relations for exceptional Hermite polynomials
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