Fuchsian differential equations of order 3,...,6 with three singular points and an accessory parameter
Abstract
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.
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