Taylor Domination, Difference Equations, and Bautin Ideals

DOI10.1007/978-3-662-52927-0_21zbMath1356.30002arXiv1411.7629OpenAlexW2393735234MaRDI QIDQ2954219

Yosef Yomdin, Dmitry Batenkov

Publication date: 12 January 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.7629

zbMATH Keywords

analytic functionsTaylor coefficients

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10)

Related Items (2)

Moment Vanishing of Piecewise Solutions of Linear ODEs ⋮ Complex cellular structures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bautin ideals and Taylor domination
• Parametric Poincaré-Perron theorem with applications
• Geometric theory of discrete nonautonomous dynamical systems
• Center conditions at infinity for Abel differential equations
• Bernstein inequalities and applications to analytic geometry and differential equations
• Algebraic families of analytic functions. I
• Bernstein classes
• Asymptotic solutions and error estimates for linear systems of difference and differential equations.
• Accuracy of Algebraic Fourier Reconstruction for Shifts of Several Signals
• An observation on the Turán–Nazarov inequality
• Moment Vanishing of Piecewise Solutions of Linear ODEs
• Taylor domination, Turán lemma, and Poincaré-Perron sequences
• Moment inversion problem for piecewise D -finite functions
• More on Poincaré’s and Perron’s Theorems for Difference Equations∗
• $$\boldsymbol{(s,p)}$$ -Valent Functions

This page was built for publication: Taylor Domination, Difference Equations, and Bautin Ideals