Differential Algebra and the Simultaneous Approximation by Rational Functions of Power Series Solutions to Algebraic Functional Equations

DOI10.2307/2374102zbMath0466.12013OpenAlexW2320629050MaRDI QIDQ3918207

Charles F. Osgood

Publication date: 1981

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374102

zbMATH Keywords

difference-differential equationsdifferential polynomialpower series solutions of algebraic differential equationssimultaneous approximation by rational functions

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Approximation by rational functions (41A20) Functional equations for functions with more general domains and/or ranges (39B52) Differential algebra (12H05) Simultaneous approximation (41A28) Abstract differential equations (12H20) Approximation in non-Archimedean valuations (11J61)

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