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Saff, E.B. (1972) An Extension of Montessus de Ballore Theorem on the Convergence of Interpolation Rational Functions. Journal of Approximation Theory, 6, 63-67.
http://dx.doi.org/10.1016/0021-9045(72)90081-0

has been cited by the following article:

• TITLE: Distribution of Points of Interpolation and of Zeros of Exactly Maximally Convergent Multipoint Padé Approximants

  AUTHORS: R. K. Kovacheva

  KEYWORDS: Multipoint Padé Approximants, Maximal Convergence, Domain of m-Meromorphy

  JOURNAL NAME: Applied Mathematics, Vol.6 No.5, May 5, 2015

  ABSTRACT: Given a regular compact set E in , a unit measure μ supported by , a triangular point set , and a function f , holomorphic on E , let πβ,fn,m be the associated multipoint β-Padé approximant of order (n,m) . We show that if the sequence πβ,fn,m , n∈Λ , ∧∈n,k are uniformly distributed on with respect to u as n∈Λ . Furthermore, a result about the behavior of the zeros of the exact maximally convergent sequence Λ is provided, under the condition that Λ is “dense enough”.