Abstract
We derive the most general families of first- and second-order differential operators semicommuting with the Heun class differential operators. Among these families, we classify all the families that commute with the Heun class. In particular, we find that a certain generalized Heun equation commutes with the Heun differential operator, which allows constructing a general solution of a complicated fourth-order linear differential equation with variable coefficients whose solution cannot be obtained using Maple 16.
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Batic, D., Mills, D. & Nowakowski, M. Semicommuting and Commuting Operators for the Heun Family. Theor Math Phys 195, 494–512 (2018). https://doi.org/10.1134/S0040577918040025
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DOI: https://doi.org/10.1134/S0040577918040025