Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity
arXiv:1207.5302 · doi:10.3842/SIGMA.2012.085
Abstract
Infinitely many explicit solutions of certain second-order differential equations with an apparent singularity of characteristic exponent -2 are constructed by adjusting the parameter of the multi-indexed Laguerre polynomials.
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Cited by in corpus (9)
- Novel Enlarged Shape Invariance Property and Exactly Solvable Rational Extensions of the Rosen-Morse II and Eckart Potentials
- Exceptional Laguerre polynomials
- Recurrence Relations of the Multi-Indexed Orthogonal Polynomials
- Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : III
- A Bochner type classification theorem for exceptional orthogonal polynomials
- Multi-indexed Jacobi polynomials and Maya diagrams
- Equivalences of the Multi-Indexed Orthogonal Polynomials
- Gauss-Seed Nets of Sturm-Liouville Problems With Energy-Independent Characteristic Exponents and Related Sequences of Exceptional Orthogonal Polynomials I. Canonical Darboux Transformations Using AEH Functions
- Exactly Solvable Quantum Mechanics