3 papers
math.CA2013
Explicit formulas for parametrized families of irreducible algebraic Appell, Lauricella and Horn functions
Esther Bod
For suitable choices of the parameters the Appell, Lauricella and Horn functions are algebraic. In a previous paper we showed that there exist families of algebraic functions for t…
math.CA2013
A classification of the irreducible algebraic A-hypergeometric functions associated to planar point configurations
Esther Bod
We consider A-hypergeometric functions associated to normal sets in the plane. We give a classification of all point configurations for which there exists a parameter vector such t…
math.CA2010
Algebraicity of the Appell-Lauricella and Horn hypergeometric functions
Esther Bod
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 v…