Fuchsian differential equations of order 3,...,6 with three singular points and an accessory parameter II, Equations of order 3

2023/07/03 by Yoshishige Haraoka, Haraoka, Yoshishige, Hiroyuki Ochiai +5
Physics and Astronomy · Mathematics · Chemistry · #Nonlinear Waves and Solitons #Advanced Differential Equations and Dynamical Systems #Molecular spectroscopy and chirality

paper · pdf · doi:10.48550/arxiv.2307.01360

Abstract

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 codimension-1 subfamilies, neither. We found shift operators for several codimension-2 subfamilies of which accessory parameter is assigned as a cubic polynomial in the local exponents. The Dotsenko-Fateev equation is one of them.

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