The problem of differentiating an asymptotic expansion in real powers. II: Factorizational theory

DOI10.1007/S10476-010-0301-3zbMath1240.41088OpenAlexW1587175623MaRDI QIDQ653793

Antonio Granata

Publication date: 19 December 2011

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

Full work available at URL: https://doi.org/10.1007/s10476-010-0301-3

zbMATH Keywords

integral representationsgeneralized convex functionsdifferentiation of asymptotic expansionsfactorization of a differential operator

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (2)

Analytic theory of finite asymptotic expansions in the real domain. Part I: Two-term expansions of differentiable functions ⋮ Analytic tools to bound the criticality at the outer boundary of the period annulus

Cites Work

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• Canonical Factorizations of Disconjugate Differential Operators
• Canonical Factorization of Disconjugate Differential Operators—Part II
• An Elementary Tauberian Theorem for Absolutely Continuous Functions and for Series
• Canonical Forms and Principal Systems for General Disconjugate Equations
• Differentiation asymptotischer Beziehungen
• A Theorem About Successive Derivatives of a Function and Some Tauberian Theorems
• NON-OSCILLATION OF SOLUTIONS OF THE EQUATIONx⁽ⁿ⁾+p₁(t)x⁽ⁿ⁻¹⁾+ … +p_n(t)x= 0
• Expanding Gravitational Systems
• Uber Einen Tauberschen Satz Im Dreikorperproblem

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