Strong asymptotics for the Pollaczek multiple orthogonal polynomials Articles uri icon

authors

  • APTEKAREV, ALEXANDRE
  • LOPEZ LAGOMASINO, GUILLERMO
  • MARTINEZ FINKELSHTEIN, ANDREI

publication date

  • November 2015

start page

  • 709

end page

  • 713

issue

  • 3

volume

  • 92

International Standard Serial Number (ISSN)

  • 1064-5624

Electronic International Standard Serial Number (EISSN)

  • 1531-8362

abstract

  • También publicado en arXiv:1410.1261 Abstract: The asymptotic properties of multiple orthogonal polynomials with respect to two Pollaczek weights with different parameters are considered. This set of weights is a Nikishin system generated by two measures with unbounded supports; moreover, the second measure is discrete. During the last years, multiple orthogonal polynomials with respect to Nikishin systems of this type have found wide applications in the theory of random matrices. Strong asymptotic formulas for the polynomials under consideration are obtained by means of the matrix Riemann-Hilbert method.

subjects

  • Mathematics

keywords

  • hermite-pade approximants; random matrices; external source; systems