Analytic theory of finite asymptotic expansions in the real domain. Part I: Two-term expansions of differentiable functions

DOI10.1007/s10476-011-0402-7zbMath1265.41068arXiv1405.6745OpenAlexW1545253388MaRDI QIDQ452845

Antonio Granata

Publication date: 18 September 2012

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

Full work available at URL: https://arxiv.org/abs/1405.6745

zbMATH Keywords

asymptotic expansionsasymptotic scale

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Functions of one variable (26A99)

Cites Work

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• The problem of differentiating an asymptotic expansion in real powers. I: Unsatisfactory or partial results by classical approaches
• The problem of differentiating an asymptotic expansion in real powers. II: Factorizational theory
• On Cauchy-Frullani integrals
• Polynomial asymptotic expansions in the real domain: the geometric, the factorizational, and the stabilization approaches
• Asymptotic behavior of solutions of perturbed disconjugate equations
• Canonical Factorizations of Disconjugate Differential Operators
• Canonical Factorization of Disconjugate Differential Operators—Part II
• Canonical Forms and Principal Systems for General Disconjugate Equations

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