Linear operators on polynomials preserving roots in open circular domains

Details Linear operators on polynomials preserving roots in open circular domains Linear operators on polynomials preserving roots in open circular domains

2011-11-09

arxiv.org/abs/1111.2209v1

Mathematics

Complex Variables

6 pages

Scientific paper

In the present paper we answer a question raised by J. Borcea and P. Branden and give a description of the class of operators preserving roots in open circular domains, i.e., in images of the open upper half-plane under the Mobius transformations. Our second result is a description of the difference between $\Apr(G)$ (the class of operators preserving roots in an open set $G$) and $\Apr(\bar G)$ (the class of operators preserving roots in $\bar{G}$).

Affiliated with

Also associated with

No associations

Rating

Linear operators on polynomials preserving roots in open circular domains 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 Linear operators on polynomials preserving roots in open circular domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Linear operators on polynomials preserving roots in open circular domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-42727