Generalized Heun and Lam\'e's equations: factorization
Mahouton Norbert Hounkonnou, Andr\'e Ronveaux
TL;DR
This paper presents new factorization results for the general Heun and Lamé equations, extending previous work and providing deeper insights into their mathematical structure.
Contribution
It introduces novel factorization techniques for the generalized Heun and Lamé operators, expanding the understanding of their algebraic properties.
Findings
New factorization formulas for generalized Heun's operator
Extension of previous results on Lamé's equations
Enhanced mathematical framework for these special functions
Abstract
This paper addresses new results on the factorization of the general Heun's operator, extending the investigations performed in previous works [{\it Applied Mathematics and Computation} {\bf 141} (2003), 177 - 184 and {\bf 189} (2007), 816 - 820]. Both generalized Heun and generalized Lam\'e equations are considered.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Topics in Algebra · Advanced Differential Equations and Dynamical Systems