PageHeader : Funkcialaj Ekvacioj, 45 (2002) 161-185 Title : On the Confluent Hypergeometric Functions in 2 Variables AuthorInfo : By AuthorInfo : Yongyan Lu AuthorInfo : (The University of Tokyo, Japan) section : 0. Introduction section : 1. Construction of the group $W_{\lambda}$ section : 2. Orbital decomposition of the set of strata section : 3. Normal forms of matrices section : 4. CHG functions and the classical CHG functions of 2 variables section : 5. Transformation formulae section : References