Mixed type multiple orthogonal polynomials: perfectness and interlacing properties of zeros Articles uri icon

authors

  • FIDALGO PRIETO, ULISES
  • MEDINA PERALTA, SERGIO
  • MINGUEZ CENICEROS, J

publication date

  • February 2013

start page

  • 1229

end page

  • 1239

issue

  • 3

volume

  • 438

International Standard Serial Number (ISSN)

  • 0024-3795

Electronic International Standard Serial Number (EISSN)

  • 1873-1856

abstract

  • 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.

keywords

  • multiple orthogonal polynomials; interlacing zeros; at systems