Liouvillian solutions for second order linear differential equations with Laurent polynomial coefficient
DOI10.1007/s40863-023-00359-7arXiv2012.11795OpenAlexW4376140089WikidataQ125423548 ScholiaQ125423548MaRDI QIDQ6188402
Henock Venegas-Gómez, Primitivo Belén Acosta-Humánez, David Blázquez-Sanz
Publication date: 11 January 2024
Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.11795
asymptotic iteration methodSchrödinger equationparameter spaceLiouvillian solutionsanharmonic oscillatorsKovacic algorithmHeun equationsspectral varietiesquasi-solvable models
Theoretical approximation of solutions to ordinary differential equations (34A45) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Other special orthogonal polynomials and functions (33C47) Differential algebra (12H05)
Cites Work
- Unnamed Item
- Galoisian approach to integrability of Schrödinger equation
- Moduli of linear differential equations on the Riemann sphere with fixed Galois groups
- An algorithm for solving second order linear homogeneous differential equations
- Kovacic's algorithm and its application to some families of special functions
- Generalized Lennard-Jones potentials, SUSYQM and differential Galois theory
- Exact solution of inverse-square-root potential \(V(r)=-\frac{\alpha}{\sqrt r}\)
- Liouvillian solutions for second order linear differential equations with polynomial coefficients
- Uniformization of Riemann surfaces. Revisiting a hundred-year-old theorem. Translated from the French by Robert G. Burns
- On the rational monodromy-free potentials with sextic growth
- Asymptotic iteration method for eigenvalue problems
- Galoisian approach to complex oscillation theory of some Hill equations
- Quasi-exactly solvable systems and orthogonal polynomials
This page was built for publication: Liouvillian solutions for second order linear differential equations with Laurent polynomial coefficient
