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

Kouichi Takemura. "Euler's integral transformation for systems of linear differential equations with irregular singularities." Banach Center Publications 97.1 (2012): 141-152. <http://eudml.org/doc/281899>.

@article{KouichiTakemura2012,
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.},
author = {Kouichi Takemura},
journal = {Banach Center Publications},
keywords = {middle convolution; Euler's integral transformation; irregular singularity},
language = {eng},
number = {1},
pages = {141-152},
title = {Euler's integral transformation for systems of linear differential equations with irregular singularities},
url = {http://eudml.org/doc/281899},
volume = {97},
year = {2012},
}

TY - JOUR
AU - Kouichi Takemura
TI - Euler's integral transformation for systems of linear differential equations with irregular singularities
JO - Banach Center Publications
PY - 2012
VL - 97
IS - 1
SP - 141
EP - 152
AB - 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.
LA - eng
KW - middle convolution; Euler's integral transformation; irregular singularity
UR - http://eudml.org/doc/281899
ER -