Series-Expansion of Multivariate Algebraic Functions at Singular Points: Nonmonic Case

DOI10.1007/978-3-662-43799-5_11zbMath1336.65012OpenAlexW2265048118MaRDI QIDQ2799556

Tateaki Sasaki, Daiju Inaba

Publication date: 12 April 2016

Published in: Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-662-43799-5_11

zbMATH Keywords

singular pointNewton polynomialHensel seriesmultivariate algebraic functionseries-expansion

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Algorithms for approximation of functions (65D15)

Cites Work

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• Solving multivariate algebraic equation by Hensel construction
• On testing a bivariate polynomial for analytic reducibility
• Fiber polytopes and fractional power series
• Analytic continuation and Riemann surface determination of algebraic functions by computer
• Hensel construction of F(x, u ₁ , ..., x _l ) l ≥ 2 at a singular point and its applications
• Factorization of multivariate polynomials by extended Hensel construction

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