An Extension of Bochner's Problem: Exceptional Invariant Subspaces

Details An Extension of Bochner's Problem: Exceptional Invariant Subspaces An Extension of Bochner's Problem: Exceptional Invariant Subspaces

2008-05-22

arxiv.org/abs/0805.3376v3

J Approx Theory 162 (2010) 987-1006

Physics

Mathematical Physics

21 pages, a number of corrections and revisions

Scientific paper

10.1016/j.jat.2009.11.002

A classical result due to Bochner characterizes the classical orthogonal polynomial systems as solutions of a second-order eigenvalue equation. We extend Bochner's result by dropping the assumption that the first element of the orthogonal polynomial sequence be a constant. This approach gives rise to new families of complete orthogonal polynomial systems that arise as solutions of second-order eigenvalue equations with rational coefficients. The results are based on a classification of exceptional polynomial subspaces of codimension one under projective transformations.

Affiliated with

Also associated with

No associations

Rating

An Extension of Bochner's Problem: Exceptional Invariant Subspaces 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 An Extension of Bochner's Problem: Exceptional Invariant Subspaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Extension of Bochner's Problem: Exceptional Invariant Subspaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-510450