Higher order recurrences and row sequences of Hermite-Pade approximation Articles uri icon

publication date

  • November 2018

start page

  • 1830

end page

  • 1845

issue

  • 11

volume

  • 24

international standard serial number (ISSN)

  • 1023-6198

electronic international standard serial number (EISSN)

  • 1563-5120

abstract

  • We obtain extensions of the Poincare and Perron theorems for higher order recurrence relations and apply them to obtain an inverse-type theorem for row sequences of the (type II) Hermite-Pade approximation of a vector of formal power series.

keywords

  • higher order recurrences; Hermite-Pade approximation; inverse-type results