Presents Fuchsian differential equations with singular points, revealing new symmetries and properties.
Fuchsian differential equations Hj of order j = 3, ..., 6 with three singular points and one accessory parameter are presented. The shift operators for H6 are studied. They lead to assign the accessory parameter of H6 a cubic polynomial of local exponents so that the equation has several nice symmetries. The other equations will be studied in the forthcoming papers.
No takes yet. Share an insight, caveat, or question.
Haraoka et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: