Recurrence relations and general solution of the exceptional Hermite equation

Cites Work

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Solvable rational potentials and exceptional orthogonal polynomials in supersymmetric quantum mechanics
An extension of Bochner's problem: exceptional invariant subspaces
On a proposition concerning linear equations.
Systems with higher-order shape invariance: spectral and algebraic properties
A modification of Crum's method
From Heun class equations to Painlevé equations
Spectral theory of exceptional Hermite polynomials
Polynomial algebras of superintegrable systems separating in Cartesian coordinates from higher order ladder operators
General solution of the exceptional Hermite differential equation and its minimal surface representation
On the derivatives of the Heun functions
An extended class of orthogonal polynomials defined by a Sturm-Liouville problem
Connection between quantum systems involving the fourth Painlevé transcendent and k-step rational extensions of the harmonic oscillator related to Hermite exceptional orthogonal polynomial
Krein–Adler transformations for shape-invariant potentials and pseudo virtual states
HIGHER-ORDER SUSY, EXACTLY SOLVABLE POTENTIALS, AND EXCEPTIONAL ORTHOGONAL POLYNOMIALS
Combined state-adding and state-deleting approaches to type III multi-step rationally extended potentials: Applications to ladder operators and superintegrability
The generalized quantum isotonic oscillator
Factorization solution of a family of quantum nonlinear oscillators
Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. I. Rational function potentials
Hamiltonians separable in Cartesian coordinates and third-order integrals of motion
Two-step rational extensions of the harmonic oscillator: exceptional orthogonal polynomials and ladder operators
Higher-order SUSY, linearized nonlinear Heisenberg algebras and coherent states
Third-order ladder operators, generalized Okamoto and exceptional orthogonal polynomials
Two-dimensional superintegrable systems from operator algebras in one dimension
Extended Krein-Adler theorem for the translationally shape invariant potentials
ABC of ladder operators for rationally extended quantum harmonic oscillator systems
Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials
New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials
New ladder operators for a rational extension of the harmonic oscillator and superintegrability of some two-dimensional systems
A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator
ASSOCIATED STURM-LIOUVILLE SYSTEMS
Recurrence relations for exceptional Hermite polynomials

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