Abstract:
The connection is considered between the asymptotic behavior of the poles of the mmth row of the Padé table of a function given by a Taylor series and the singular points of this function on the boundary of its disk of mm-meromorphy.
Bibliography: 6 titles.
Citation:
V. V. Vavilov, V. A. Prokhorov, S. P. Suetin, “The poles of the mmth row of the Padé table and the singular points of a function”, Math. USSR-Sb., 50:2 (1985), 457–463
\Bibitem{VavProSue83}
\by V.~V.~Vavilov, V.~A.~Prokhorov, S.~P.~Suetin
\paper The poles of the $m$th row of the Pad\'e table and the singular points of a~function
\jour Math. USSR-Sb.
\yr 1985
\vol 50
\issue 2
\pages 457--463
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\crossref{https://doi.org/10.1070/SM1985v050n02ABEH002839}
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Linking options:
https://www.mathnet.ru/eng/sm2308
https://doi.org/10.1070/SM1985v050n02ABEH002839
https://www.mathnet.ru/eng/sm/v164/i4/p475
This publication is cited in the following 8 articles:
Bosuwan N., “On Row Sequences of Hermite-Pade Approximation and Its Generalizations”, Mathematics, 8:3 (2020)
Simon Telen, Marc Van Barel, Jan Verschelde, “A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation”, SIAM J. Sci. Comput., 42:6 (2020), A3610
Bosuwan N., “Direct and Inverse Results on Row Sequences of Generalized Pade Approximants to Polynomial Expansions”, Acta Math. Hung., 157:1 (2019), 191–219
V. I. Buslaev, “On the Fabry Ratio Theorem for Orthogonal Series”, Proc. Steklov Inst. Math., 253 (2006), 8–21
S. P. Suetin, “Padé approximants and efficient analytic continuation of a power series”, Russian Math. Surveys, 57:1 (2002), 43–141
Claude Brezinski, Jeannette Van Iseghem, Handbook of Numerical Analysis, 3, Handbook of Numerical Analysis Volume 3, 1994, 47
V. I. Buslaev, “Relations for the coefficients, and singular points of a function”, Math. USSR-Sb., 59:2 (1988), 349–377
S. P. Suetin, “On an inverse problem for the $m$th row of a Padé table”, Math. USSR-Sb., 52:1 (1985), 231–244
Citation in format AMSBIB
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