Algebraicity of the Appell-Lauricella and Horn hypergeometric functions
Classical Analysis and ODEs
2013-02-04 v2
Abstract
We extend Schwarz' list of irreducible algebraic Gauss functions to the four classes of Appell-Lauricella functions in several variables and the 14 complete Horn functions in two variables. This gives an example of a family of functions such that for any number of variables there are infinitely many algebraic functions, namely the Lauricella functions.
Keywords
Cite
@article{arxiv.1005.0317,
title = {Algebraicity of the Appell-Lauricella and Horn hypergeometric functions},
author = {Esther Bod},
journal= {arXiv preprint arXiv:1005.0317},
year = {2013}
}
Comments
24 pages, 6 tables, 2 figures