Ratio asymptotics for biorthogonal matrix polynomials with unbounded recurrence coefficients Articles uri icon

publication date

  • December 2020

start page

  • 754

end page

  • 774

issue

  • 3

volume

  • 14

International Standard Serial Number (ISSN)

  • 1452-8630

abstract

  • In this paper we study matrix biorthogonal polynomials sequences that satisfy a nonsymmetric three term recurrence relation with unbounded matrix coefficients. The outer ratio asymptotics for this family of matrix biorthogonal polynomials is derived under quite general assumptions. Some illustrative examples are considered.

keywords

  • ratio asymptotic; quadrature formulae; markov functions; matrix biorthogonal polynomials; generalized chebyshev polynomials