=ADD=
=reftype=
14
=number=
02-06
=url=
ftp://ftp.risc.uni-linz.ac.at/pub/techreports/2002/02-06.ps.gz
=year=
2002
=month=
07
=author=
Schneider; Carsten
=title=
A Unique Representation of Solutions of Parameterized Linear Difference Equations in $\Pi\Sigma$-Fields
=abstract=
By solving parameterized linear difference equations in
$\Pi\Sigma$-fields, a very general subclass of difference fields, one
is capable of proving and discovering a huge class of multisum
identities. In this article we describe how the solution space of
such parameterized linear difference equations can be represented
in a canonical form. In many cases this enables to describe those
solutions in a very compact form.
=sponsor=
Supported by SFB grant F1305 of the Austrian FWF.
=keywords=
parameterized linear difference equations, $\Pi\Sigma$-fields