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Fuchsian differential equations of order 3,...,6 with three singular points and an accessory parameter II, Equations of order 3
Yoshishige Haraoka, Hiroyuki Ochiai, Takeshi Sasaki +1
Fuchsian differential equations of order 3 with three singular points and with an accessory parameter are studied. When local exponents are generic, no shift operator is found, for…
Fuchsian differential equations of order 3,...,6 with three singular points and an accessory parameter
Yoshishige Haraoka, Hiroyuki Ochiai, Takeshi Sasaki +1
Fuchsian differential equations of order with three singular points and one accessory parameter are presented. The shift operators for are studied. They l…
Shift operators of the Dotsenko-Fateev equation and its higher order versions
Yoshishige Haraoka, Hiroyuki Ochiai, Takeshi Sasaki +1
We find shift operators for the Dotsenko-Fateev equation, which is a differential equation of order 3, and for the three Fuchsian differential equations of order 4, 5 and 6, respec…
A study of a Fuchsian system of rank 8 in 3 variables and the ordinary differential equations as its restrictions
Akihito Ebisu, Yoshishige Haraoka, Masanobu Kaneko +3
A Fuchsian system of rank 8 in 3 variables with 4 parameters is presented. The singular locus consists of six planes and a cubic surface. The restriction of the system onto the int…
Derived Schwarz map of the hypergeometric differential equation and a parallel family of flat fronts
Takeshi Sasaki, Kotaro Yamada, Masaaki Yoshida
In the previous paper (math.CA/0609196) we defined a map, called the hyperbolic Schwarz map, from the one-dimensional projective space to the three-dimensional hyperbolic space by…