Algebraicity of the Appell-Lauricella and Horn hypergeometric functions
Algebraicity of the Appell-Lauricella and Horn hypergeometric functions
复制标题
Appell-Lauricella 和 Horn 超几何函数的代数性
DOI：
10.1016/j.jde.2011.09.023
复制
发表时间：
2010
影响因子：
1
通讯作者：
E. Bod
中科院分区：
文献类型：
--
作者：
E. Bod
本文将不可约代数Gauss函数的施瓦茨表推广到四类多元Appell-Lauricella函数和十四类二元完全Horn函数。这给出了一个函数族的例子，使得对于任何数量的变量，都有无穷多个代数函数，即Lauricella FC函数。
We extend Schwarzʼ 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 FCfunctions.