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An extension of Montessus de Ballore’s theorem on the convergence of interpolating rational functions. (English) Zbl 0241.30013


MSC:

30B70 Continued fractions; complex-analytic aspects
30E05 Moment problems and interpolation problems in the complex plane
30D30 Meromorphic functions of one complex variable (general theory)
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References:

[1] de Montessus de Ballore, R, Sur LES fractions continues algébriques, Bull. soc. math. France, 30, 28-36, (1902) · JFM 33.0227.01
[2] Perron, O, Die lehre von den kettenbrüchen, (1929), Chelsea New York · JFM 55.0262.09
[3] Walsh, J.L, The convergence of sequences of rational functions of best approximation with some free poles, () · Zbl 0152.06303
[4] Walsh, J.L, Interpolation and approximation by rational functions in the complex domain, () · Zbl 0013.05903
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