Interlacing properties of roots of certain biorthogonal polynomials

[摘要] In this paper we consider the biorthogonal polynomials with respect to the measure e(-x4-y2+2 tau xy)dxdy, and show that their roots interlace. The proof involves showing, total nonnegativity of matrices related to Jacobi type matrices. (c) 2006 Elsevier Inc. All rights reserved.

[发布日期] 2006-12-01

[关键词] biorthogonal polynomials;interlacing;totally nonnegative;oscillatory matrix