PageHeader : Funkcialaj Ekvacioj, 23 (1980) 97-122
Title : Monodromy Group of the System for Appell'sF4
AuthorInfo : By
AuthorInfo : Kyoichi TAKANO*
AuthorInfo : (Kobe University, Japan)
subsection : Introduction
section : Chapter I. Fundamental solutions of $(F_{4})$
subsection : ��1. Solutions of system $(F_{4})$
subsubsection : 1.1. Solutions of Gauss equation. The differential equation
subsection : ��2. Auxiliary functions
subsection : ��3. Relations
subsection : ��4. Linear independence of $\{z_{j}(x, y)\}_{1\leqq j\leqq 4}$
section : Chapter II. Monodromy group of $(F_{4})$
subsection : ��5. Generators of $\pi_{1}(C^{2}-S;(x_{0}, y_{0}))$
subsection : ��6. The behavior of X as a function of $v$
subsection : ��7. Analytic continuations of $\{z_{j}\}_{1\leqq j\leqq 4}$ along $\Gamma_{1}$ and $\Gamma_{2}$
subsubsection : 7.1.
subsubsection : 7.2. Continuation of $z_{1}(x, y)$ along $\Gamma_{1}$ .
subsubsection : 7.3. Continuation of $z_{2}(x, y)$ along $\Gamma_{1}$ .
subsubsection : 7.4. Continuation of $z_{3}(x, y)$ along $\Gamma_{1}$ .
subsubsection : 7.5. Continuation of $z_{4}(x, y)$ along $\Gamma_{1}$ .
subsection : ��8. Analytic continuations of $\{z_{j}\}_{1\leqq j\leqq 4}$ along $\Gamma_{3}$
subsubsection : 8.1.
subsubsection : 8.2. Continuation of $z_{1}(x, y)$ along $\Gamma_{3}$ .
subsubsection : 8.3. Continuation of $z_{2}(x, y)$ along $\Gamma_{3}$ .
subsubsection : 8.4. Continuation of $z_{3}(x, y)$ along $\Gamma_{3}$ .
subsubsection : 8.5. Continuation of $z_{4}(x, y)$ along $\Gamma_{3}$ .
section : References