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 FC functions
| Original language | English |
|---|---|
| Pages (from-to) | 541-566 |
| Number of pages | 34 |
| Journal | Journal of Differential Equations |
| Volume | 252 |
| Issue number | 1 |
| Publication status | Published - 2011 |