PageHeader : Funkcialaj Ekvacioj, 35 (1992) 343-403
Title : Propagation of Singularities of Solutions of the
Title : Euler-Darboux Equation and a Global Structure
Title : of the Space of Holonomic Solutions I
AuthorInfo : By
AuthorInfo : Nobuki TAKAYAMA
AuthorInfo : (Kobe University, Japan)
section : Introduction
section : 1. Local solutions and propagation of singularities of the Euler-Darboux equation
section : 2. Hypergeometric functions of several variables and the Euler-Darboux equation
subsection : 2.1 The Appell function $F_{1}$
subsection : 2.2. The Appell function $F_{2}$
subsection : 2.3. The Lauricella function $F_{D}$
subsection : 2.4 Hypergeometric functions corresponding to a class of sets of points
section : 3. Holonomic solutions of the Euler-Darboux equation
section : 4. Simply connected domains of a blowing-up space
section : 5. Asymptotic behaviors along the regular singularities
section : Appendix
subsection : 1. Connection formula of Gauss hypergeometric function (14.51 of [WW])
subsection : 2. Formulas of Pochhammer symbol
subsection : 3. List of symbols
section : References