J an 2 00 5 Not all limit points of poles of the Padé approximants are obstructions for uniform convergence
نویسنده
چکیده
In the work it is shown that not all limit points of poles of the Padé approximants for the last intermediate row are obstructions for uniform convergence of the whole row to an approximable function. The corresponding examples are constructed. For some classes of meromorphic functions it is found under what conditions the limit point is not the obstruction for the uniform convergence of the last intermediate row.
منابع مشابه
. N A ] 2 5 N ov 2 00 4 On the Set of Uniform Convergence for the Last Intermediate Row of the Padé Table
Let a(z) be a meromorphic function having in the disk |z| < R precisely λ poles. In this work for the (λ−1)th row of the Padé table of a(z) the set of uniform convergence is explicitly obtained. The present note is a supplement to the previous work of the author (J. Approx. Theory, 123(2003), 160-207). In the theory of uniform convergence of the Padé approximants the principal question is if th...
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