On hypergeometric systems of differential equations
FacultiesFakultät für Mathematik und Wirtschaftswissenschaften
LicenseStandard (Fassung vom 01.10.2008)
This thesis is about the hypergeometric system of differential equations. Until now, fundamental solutions for this system are just known in dimension 2 and very special cases in higher dimension. In dimension 2 it is solvable with the hypergeometric function. Under some assumptions there exist characteristic constants for the system and in dimension 2 they can be represented by means of the Gamma function. In this work the solutions and constants of a hypergeometric system have been considered as power series in a newly introduced parameter. Furthermore, two sequences of functions have been introduced and analyzed and the coefficients of the power series have been expressed in terms of these functions.
Subject HeadingsDifferentialgleichungssystem [GND]
Hypergeometrische Differentialgleichung [GND]
Hypergeometric functions [LCSH]