ON THE CONVERGENCE OF GENERALIZED PADÉ APPROXIMANTS OF MEROMORPHIC FUNCTIONS

A A Gončar

Type: Article

Publication Date: 1975-04-30

Citations: 120

DOI: https://doi.org/10.1070/sm1975v027n04abeh002526

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Locations

Mathematics of the USSR-Sbornik - View

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Action	Title	Year	Authors
+ PDF Chat	Inverse Theorem on Row Sequences of Linear Padé-orthogonal Approximation	2015	Nattapong Bosuwan G. López Lagomasino
+	None	2003	A. P. Holub
+ PDF Chat	Hermite-Padé approximation for certain systems of meromorphic functions	2015	G. López Lagomasino S. Medina Peralta U. Fidalgo Prieto
+	Convergence of row sequences of simultaneous Fourier-Padé approximation	2012	J. Cacoq
+	A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation	2019	Simon Telen Marc Van Barel Jan Verschelde
+	Inverse results on row sequences of Hermite–Padé approximation	2017	G. López Lagomasino Y. Zaldivar Gerpe
+	Padé approximants and efficient analytic continuation of a power series	2002	Sergey Pavlovich Suetin
+	Multipoint Padé Approximants to Complex Cauchy Transforms with Polar Singularities	2008	Laurent Baratchart Maxim L. Yattselev
+	Two-point Padé approximation to Herglotz-Riesz transforms	2022	Adhemar Bultheel Carlos Díaz Mendoza
+	ON AN INVERSE PROBLEM FOR THE ROWS OF A PADÉ TABLE	1981	V. V. Vavilov Giermo Lopes V A Prohorov

Works Cited by This (10)

Action	Title	Year	Authors
+	Analytic Theory of Continued Fractions	1967	H. S. Wall
+	Interpolation and Approximation by Rational Functions in the Complex Domain	1935	J. L. Walsh
+	ON CONVERGENCE OF PADÉ APPROXIMANTS FOR SOME CLASSES OF MEROMORPHIC FUNCTIONS	1975	A A Gončar
+	Padé approximants and convergence in capacity	1973	Ch. Pommerenke
+	On interpolation by rational functions	1969	Thomas Bagby
+	On the convergence of Padé approximants	1968	Alan F. Beardon
+	The convergence of Padé approximants of meromorphic functions	1970	J. Nuttall
+	An extension of Montessus de Ballore's theorem on the convergence of interpolating rational functions	1972	Edward B. Saff
+	The convergence of padé approximants and the size of the power series coefficients	1974	Hans Wallin
+	Essai sur l'étude des fonctions données par leur développement de Taylor	1892	Jacques Hadamard