Abstract
The paper investigates the distribution of interpolation points of m1-maximally convergent multipoint Padé approximants with numerator degree ≤n and denominator degree ≤mn for meromorphic functions f on a compact set E⊂C, where mn=o(n/logn) as n→∞. It is shown that the normalized counting measures (resp. their associated balayage measures onto the boundary of E) converge for a subsequence in the weak* sense to the equilibrium measure μE of E if the multipoint Padé approximants for one single function f converge exactly in m1-measure on the maximal Green domain of meromorphy Eρ(f).
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