Euler's integral transformation for systems of linear differential equations with irregular singularities
Volume 97 / 2012
Banach Center Publications 97 (2012), 141-152
MSC: Primary 34M03; Secondary 34M25, 34M35.
DOI: 10.4064/bc97-0-10
Abstract
Dettweiler and Reiter formulated Euler's integral transformation for Fuchsian systems of differential equations and applied it to a definition of the middle convolution. In this paper, we formulate Euler's integral transformation for systems of linear differential equations with irregular singularities. We show by an example that the confluence of singularities is compatible with Euler's integral transformation.
