Fuchsian differential equations of order 3,...,6 with three singular points and an accessory parameter II, Equations of order 3
Classical Analysis and ODEs
2023-07-06 v1
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.
Keywords
Cite
@article{arxiv.2307.01360,
title = {Fuchsian differential equations of order 3,...,6 with three singular points and an accessory parameter II, Equations of order 3},
author = {Yoshishige Haraoka and Hiroyuki Ochiai and Takeshi Sasaki and Masaaki Yoshida},
journal= {arXiv preprint arXiv:2307.01360},
year = {2023}
}
Comments
30 pages. arXiv admin note: substantial text overlap with arXiv:2111.11192