Fuchsian Differential Equations of Order 3, ..., 6 with Three Singular Points and an Accessory Parameter
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.
Authors
- Hiroyuki Ochiai (ORCID: https://orcid.org/0000-0001-7778-4227)
- Masaaki Yoshida
- Yoshishige Haraoka
- Takeshi Sasaki
Institutions
- Kyushu University (JP)
- Josai University (JP)
- Kobe University (JP)
Publication Details
- Journal
- Funkcialaj Ekvacioj
- Published
- 2026-04-15
- DOI
- https://doi.org/10.1619/fesi.69.1
- Primary Topic
- Meromorphic and Entire Functions
- Type
- article
- Field-Weighted Citation Impact
- 0.00