On q-summation and confluence

Details On q-summation and confluence On q-summation and confluence

2007-09-11

arxiv.org/abs/0709.1610v2

Mathematics

Classical Analysis and ODEs

36 pages. Following the referee's comments, we have clarified the exposition of some proofs and corrected some misprints

Scientific paper

This paper is divided in two parts. In the first part we consider irregular singular analytic q-difference equations, with q\in ]0,1[, and we show how the Borel sum of a divergent solution of a differential equation can be uniformly approximated on a convenient sector by a meromorphic solution of such a q-difference equation. In the second part, we work under the assumption q\in ]1,+\infty[. In this case, at least four different q-Borel sums of a divergent solution of an irregular singular analytic q-difference equations are spread in the literature: under convenient assumptions we clarify the relations among them.

Affiliated with

Also associated with

No associations

Rating

On q-summation and confluence 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 On q-summation and confluence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On q-summation and confluence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-392351