Generalized Heun and Lam\'e's equations: factorization

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.