Given a regular compact set E in the complex plane C, a unit measure µ supported by ∂E, a triangular point set , β ⊂ ∂E and a function f, holomorphic on E, let be the associated multipoint β− Padé approximant of order (n, m). We show that if the sequence , n ∈ Λ, m− fixed, converges exact maximally to f relatively to the measure µ, then the points βn,k are uniformly distributed on ∂E with respect to µ as n ∈ Λ. Furthermore, a result about the zeros behavior of the exact maximally convergent sequence Λ is provided, under the condition that Λ is ”dense enough.”
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