Fuchsian Differential Equations of Order 3, ..., 6 with Three Singular Points and an Accessory Parameter

Yoshishige Haraoka; Hiroyuki Ochiai; Takeshi Sasaki; Masaaki Yoshida

doi:10.1619/fesi.69.1

Yoshishige Haraoka, Hiroyuki Ochiai, Takeshi Sasaki, Masaaki Yoshida

著者情報

キーワード: Fuchsian differential equation, Accessory parameters, Shift operators, Reducibility, Factorization, Middle convolution, Symmetry, Hypergeometric differential equation

ジャーナル認証あり

2026 年 69 巻 1 号 p. 1-74

DOI https://doi.org/10.1619/fesi.69.1

詳細

抄録

Fuchsian differential equations H_j 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.

責任著者(Corresponding author)

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