Ratio Asymptotic of Hermite-Padé Orthogonal Polynomials for Nikishin Systems. II Articles uri icon

publication date

  • July 2008

start page

  • 1081

end page

  • 1106

issue

  • 4

volume

  • 218

International Standard Serial Number (ISSN)

  • 0001-8708

Electronic International Standard Serial Number (EISSN)

  • 1090-2082

abstract

  • We prove ratio asymptotic for sequences of multiple orthogonal polynomials with respect to a Nikishin system of measures such that for each k, sigmak has constant sign on its support consisting on an interval , on which almost everywhere, and a set without accumulation points in .