Asymptotics for multiple Meixner polynomials Articles uri icon

publication date

  • March 2014

start page

  • 485

end page

  • 505

issue

  • 2

volume

  • 411

international standard serial number (ISSN)

  • 0022-247X

electronic international standard serial number (EISSN)

  • 1096-0813

abstract

  • We study the asymptotic behavior of multiple Meixner polynomials of first and second kind, respectively [6]. We use an algebraic function formulation for the solution of the equilibrium problem with constraint to describe their zero distribution. Moreover, analyzing the limiting behavior of the coefficients of the recurrence relations for Multiple Meixner polynomials we obtain the main term of their asymptotics. (C) 2013 Elsevier Inc. All rights reserved.

keywords

  • discrete orthogonal polynomials; multiple orthogonal polynomials; nth-root asymptotics; recurrence relations; vector equilibrium with external field and constraint