Apparent Singularities of Linear Difference Equations with Polynomial Coefficients

Details Apparent Singularities of Linear Difference Equations with Polynomial Coefficients Apparent Singularities of Linear Difference Equations with Polynomial Coefficients

2004-09-27

arxiv.org/abs/math/0409508v1

Mathematics

Classical Analysis and ODEs

Scientific paper

Let L be a linear difference operator with polynomial coefficients. We consider singularities of L that correspond to roots of the trailing (resp. leading) coefficient of L. We prove that one can effectively construct a left multiple with polynomial coefficients L' of L such that every singularity of L' is a singularity of L that is not apparent. As a consequence, if all singularities of L are apparent, then L has a left multiple whose trailing and leading coefficients equal 1.

Affiliated with

Also associated with

No associations

Rating

Apparent Singularities of Linear Difference Equations with Polynomial Coefficients 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 Apparent Singularities of Linear Difference Equations with Polynomial Coefficients, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Apparent Singularities of Linear Difference Equations with Polynomial Coefficients will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-447899