On linear equations with general polynomial solutions

DOI10.1016/j.jde.2018.01.002zbMath1383.34020OpenAlexW2783540507MaRDI QIDQ683803

Abdallah Laradji

Publication date: 9 February 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.01.002

zbMATH Keywords

\(n\)th-order linear differential equation

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30)

Cites Work

• Binomial determinants, paths, and hook length formulae
• A linear second-order ODE with only polynomial solutions
• Polynomial solutions of certain differential equations arising in physics
• Can thegeneralsolution of the second-order ODE characterizing Jacobi polynomials bepolynomial?
• The Formula of FAA Di Bruno
• Rational extensions of the trigonometric Darboux-Pöschl-Teller potential based on para-Jacobi polynomials
• A solvable many-body problem, its equilibria, and a second-order ordinary differential equation whose general solution is polynomial
• Can the generalized hypergeometric equation feature several independent polynomial solutions?