Can I read Fuchsian differential equations of order 3,...,6 with three singular points and an accessory parameter I, Equations of order 6 on EtoBox?

Fuchsian differential equations of order 3,...,6 with three singular points and an accessory parameter I, Equations of order 6 by Haraoka, Yoshishige; Ochiai, Hiroyuki; Sasaki, Takeshi; Yoshida, Masaaki is a scholarly article available to read on EtoBox.

What is Fuchsian differential equations of order 3,...,6 with three singular points and an accessory parameter I, Equations of order 6 about?

Fuchsian differential equations $H_j$ of order $j=3,\dots,6$ with three singular points and one accessory parameter are presented. The shift operators for $H_6$ are studied, which lead to assign the accessory parameter of $H_6$ a cubic polynomial of local exponents so that the equations have nice properties: shift operators and several symmetries. The other equations will be studied in the forthcoming papers.

Author

Haraoka, Yoshishige; Ochiai, Hiroyuki; Sasaki, Takeshi; Yoshida, Masaaki

Published

2023

Language

EN