The Sturm Property of Coordinator Polynomials of Type $D$

Details The Sturm Property of Coordinator Polynomials of Type $D$ The Sturm Property of Coordinator Polynomials of Type $D$

2011-06-19

arxiv.org/abs/1106.3765v1

Mathematics

Combinatorics

10 pages

Scientific paper

It is known that the coordinator polynomials $h_{A_n}(x)$ of type $A$ form a Sturm sequence since they can be expressed in terms of the Legendre polynomials. In this paper, we show that the coordinator polynomials $h_{D_n}(x)$ of type $D$ form a Sturm sequence. Our proof is based on the technique of substituting the variable $x$ by a trigonometric function. The same method applies to the real-rootedness of the coordinator polynomials $h_{C_n}(x)$ of type $C$.

Affiliated with

Also associated with

No associations

Rating

The Sturm Property of Coordinator Polynomials of Type $D$ 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 The Sturm Property of Coordinator Polynomials of Type $D$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Sturm Property of Coordinator Polynomials of Type $D$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-723327