Zeros of polynomials orthogonal on several intervals

Details Zeros of polynomials orthogonal on several intervals Zeros of polynomials orthogonal on several intervals

2002-03-28

arxiv.org/abs/math-ph/0203058v2

Physics

Mathematical Physics

21pages, revised and extended version, slight corrections also

Scientific paper

First a formula for the number of zeros of the orthogonal polynomial in the intervals is presented. Then a criteria about the appearance of a zero in a gap is given. Finally a necessary and sufficient condition is derived such that the zeros of the orthogonal polynomials have given accumulation points in the gaps. As a consequence it follows that every point from the gaps is an accumulation point of the zeros of the orthogonal polynomials, if the harmonic measures of the intervals are linearly independent over the rationals. If the harmonic measures are rational then there is a finite number of accumulation points only.

Affiliated with

Also associated with

No associations

Rating

Zeros of polynomials orthogonal on several intervals 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 Zeros of polynomials orthogonal on several intervals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zeros of polynomials orthogonal on several intervals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-64016