Mixed type multiple orthogonal polynomials: Perfectness and interlacing properties of zeros

作者：Fidalgo U^*; Medina Peralta S; Minguez Ceniceros J

来源：Linear Algebra and Its Applications, 2013, 438(3): 1229-1239.

DOI：10.1016/j.laa.2012.08.034

• Multiple orthogonal polynomials
• Interlacing zeros
• AT systems

The zeros of orthogonal polynomials on the real line are simple, lie in the interior of the convex hull of the support of the measure and the zeros of consecutive orthogonal polynomials interlace. We study a large class of mixed type multiple orthogonal polynomials for which similar properties hold.

• 出版日期2013-2-1