On Montessus de Ballore's theorem for simultaneous Padé-Faber approximants

DOI10.1515/dema-2018-0006zbMath1388.30042OpenAlexW2800476086MaRDI QIDQ1746422

Nattapong Bosuwan

Publication date: 25 April 2018

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2018-0006

zbMATH Keywords

Hermite-Padé approximantsMontessus de Ballore's theoremsimultaneous Padé approximantsPadé-Faber approximants

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Padé approximation (41A21)

Related Items (2)

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Cites Work

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• Incomplete Padé approximation and convergence of row sequences of Hermite-Padé approximants
• On the existence of nonlinear Padé-Chebyshev approximations for analytic functions
• Convergence of row sequences of simultaneous Padé-Faber approximants
• Convergence of row sequences of simultaneous Padé-orthogonal approximants
• Generalized Taylor's Theorem
• ON MONTESSUS DE BALLORE'S THEOREM FOR RATIONAL APPROXIMANTS OF ORTHOGONAL EXPANSIONS
• POLES OF ROWS OF THE PADÉ TABLE AND MEROMORPHIC CONTINUATION OF FUNCTIONS
• ON ESTIMATES OF THE NORM OF THE HOLOMORPHIC COMPONENT OF A MEROMORPHIC FUNCTION
• ON THE CONVERGENCE OF RATIONAL APPROXIMATIONS TO POLYNOMIAL EXPANSIONS IN DOMAINS OF MEROMORPHY OF A GIVEN FUNCTION
• Faber Polynomials and the Faber Series

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