Mathematics – Classical Analysis and ODEs
Scientific paper
2006-07-21
Oper.Matrices 1 (2007) 87-111
Mathematics
Classical Analysis and ODEs
Scientific paper
We consider the $n{\times}n$ matrix linear differential systems in the complex plane. We find necessary and sufficient conditions under which these systems have meromorphic fundamental solutions. Using the operator identity method we construct a set of systems which have meromorphic solutions. We prove that the well known operator with the sine kernel generates a class of meromorphic Painleve type functions. The fifth Painleve function belongs to this class. Hence we obtain a new and simple proof that the fifth Painleve function is meromorphic.
Sakhnovich Lev
No associations
LandOfFree
Meromorphic Solutions of Linear Differential Systems, Painleve type functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Meromorphic Solutions of Linear Differential Systems, Painleve type functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Meromorphic Solutions of Linear Differential Systems, Painleve type functions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-169895