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Convergence of Padé approximants of Stieltjes type meromorphic functions and comparative asymptotics for orthogonal polynomials

G. L. Lopes


Abstract: A theorem is proved on the uniform convergence of diagonal Padé approximants for Stieltjes type meromorphic functions (with a finite number of poles).
Bibliography: 13 titles.

UDC: 517.5

MSC: Primary 30E10; Secondary 33A65

Received: 08.09.1987

 English version: Mathematics of the USSR-Sbornik, 1989, 64:1, 207–227

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