Inverse results on row sequences of Hermite-Padé Approximation Articles uri icon

publication date

  • August 2017

start page

  • 152

end page

  • 169

issue

  • 1

volume

  • 298

international standard serial number (ISSN)

  • 0081-5438

abstract

  • We consider row sequences of (type II) Hermite-Pade approximations with common denominator associated with a vector f of formal power expansions about the origin. In terms of the asymptotic behavior of the sequence of common denominators, we describe some analytic properties of f and restate some conjectures corresponding to questions once posed by A. A. Gonchar for row sequences of Pade approximants.