The Dzyadyk method of generalized moment representations is extended to the case of two-dimensional sequences and used to construct Padé approximants for functions of two variables.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 8, pp. 1035–1058, August, 2013.
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Holub, A.P., Chernets’ka, L.O. Two-Dimensional Generalized Moment Representations and Rational Approximations of Functions of Two Variables. Ukr Math J 65, 1155–1179 (2014). https://doi.org/10.1007/s11253-014-0850-x
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DOI: https://doi.org/10.1007/s11253-014-0850-x