Euler's integral transformation for systems of linear differential equations with irregular singularities

• Autorzy: Kouichi Takemura
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 34M03: Linear equations and systems
• 34M25: Formal solutions, transform techniques
• 34M35: Singularities, monodromy, local behavior of solutions, normal forms

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2012
• Tom: 97
• Numer: 1
• Strony: 141-152

Daty

wydano

2012

Twórcy

autor

Kouichi Takemura

• Department of Mathematics, Faculty of Science and Technology, Chuo University, 1-13-27 Kasuga, Bunkyo-ku Tokyo 112-8551, Japan

Identyfikatory

DOI

10.4064/bc97-0-10