Shift operators of the Dotsenko-Fateev equation and its higher order versions
Classical Analysis and ODEs
2025-10-27 v4
Abstract
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, respectively, which are connected with the Dotsenko-Fateev equation via addition and middle convolution. These shift operators are used to study reducible cases.
Keywords
Cite
@article{arxiv.2111.11192,
title = {Shift operators of the Dotsenko-Fateev equation and its higher order versions},
author = {Yoshishige Haraoka and Hiroyuki Ochiai and Takeshi Sasaki and Masaaki Yoshida},
journal= {arXiv preprint arXiv:2111.11192},
year = {2025}
}
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55 pages