On the convergence of multi-level Hermite-Padé approximants for a class of meromorphic functions Articles uri icon

publication date

  • October 2020

start page

  • 1

end page

  • 19

issue

  • 05

volume

  • 17

International Standard Serial Number (ISSN)

  • 1660-5446

Electronic International Standard Serial Number (EISSN)

  • 1660-5454

abstract

  • The present paper deals with the convergence properties of multi-level Hermite-Padé approximants for a class of meromorphic functions given by rational perturbations with real coefficients of a Nikishin system of functions, and study the zero location of the corresponding multiple orthogonal polynomials.

keywords

  • nikishin system; multiple orthogonal polynomials; hermite-padé approximation