Asymptotic of Cauchy Biorthogonal Polynomials Articles uri icon

publication date

  • February 2020

start page

  • 1

end page

  • 30

issue

  • 1(22)

volume

  • 17

International Standard Serial Number (ISSN)

  • 1660-5446

Electronic International Standard Serial Number (EISSN)

  • 1660-5454

abstract

  • We consider sequences of biorthogonal polynomials with respect to a Cauchy-type convolution kernel and give the weak and ratio asymptotic of the corresponding sequences of biorthogonal polynomials. The construction is intimately related with a mixed type Hermite&-Padé approximation problem whose asymptotic properties is also revealed.

keywords

  • biorthogonal polynomials; hermite¿padé approximation; ratio asymptotic; weak asymptotic