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5 papers
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…
Rigid Fuchsian systems in 2-dimensional conformal field theories
Vladimir Belavin, Yoshishige Haraoka, Raoul Santachiara
We investigate Fuchsian equations arising in the context of 2-dimensional conformal field theory (CFT) and we apply the Katz theory of Fucshian rigid systems to solve some of these…