On a fundamental system of solutions of a certain hypergeometric equation
Classical Analysis and ODEs
2014-08-05 v2
Abstract
We study the linear Pfaffian systems satisfied by a certain class of hypergeometric functions, which includes Gau\ss's , Thomae's and Appell-Lauricella's . In particular, we present a fundamental system of solutions with a characteristic local behavior by means of Euler-type integral representations. We also discuss how they are related to the theory of isomonodromic deformations or Painlev\'e equations.
Keywords
Cite
@article{arxiv.1407.8052,
title = {On a fundamental system of solutions of a certain hypergeometric equation},
author = {Teruhisa Tsuda},
journal= {arXiv preprint arXiv:1407.8052},
year = {2014}
}
Comments
19 pages