Strong asymptotics of multi-level Hermite-Padé polynomials Articles uri icon

publication date

  • March 2024

issue

  • 1

volume

  • 531

International Standard Serial Number (ISSN)

  • 0022-247X

Electronic International Standard Serial Number (EISSN)

  • 1096-0813

abstract

  • We obtain the strong asymptotics of multiple orthogonal polynomials which arise in a mixed type Hermite-Padé approximation problem defined on a Nikishin system of functions. The results obtained allow to give exact estimates of the rate of convergence of the approximating rational functions and the strong asymptotics of Cauchy biorthogonal polynomials.

keywords

  • biorthogonal polynomials; fixed point theorems; hermite-padé approximation; multiple orthogonal polynomials; strong asymptotics