3 papers
math.CA2020
Liouvillian solutions for second order linear differential equations with Laurent polynomial coefficient
Primitivo B. Acosta-Humánez, David Blázquez-Sanz, Henock Venegas-Gómez
This paper is devoted to a complete parametric study of Liouvillian solutions of the general trace-free second order differential equation with a Laurent polynomial coefficient. Th…
math-ph2019
Liouvillian solutions for second order linear differential equations with polynomial coefficients
Primitivo B. Acosta-Humánez, David Blázquez-Sanz, Henock Venegas-Gómez
In this paper we present an algebraic study concerning the general second order linear differential equation with polynomial coefficients. By means of Kovacic's algorithm and asymp…
math-ph2018
Liouvillian Solutions of Schrödinger Equation with Polynomial Potentials using Gröbner Basis
Primitivo Belén Acosta-Humánez, Henock Venegas-Gómez
The main aim of this paper is the presentation of a new methodology to obtain Liouvillian solutions of stationary one dimensional Schrödinger equation with quasi-solvable polynomia…