Symmetries and hamiltonians of Ince's XXXVIII and XLIX equations
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Abstract
We discuss symmetries of Hamiltonians of I38 and I49 equations that appear on Ince's list of fifty second-order differential equations with Painlevé property. This study is informed by structure of Weyl symmetries of Painlevé PIII and mixed Painlevé PIII-V equations and provides insights into differences between the symmetries of Painlevé equations and symmetries of solvable equations on Ince's list.
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English
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Journal of Physics: Conference Series, v. 1194, n. 1, 2019.
