Rosenlicht Fields

DOI10.2307/2154395zbMath0772.34044OpenAlexW4239103830MaRDI QIDQ4038488

John R. Shackell

Publication date: 16 May 1993

Full work available at URL: https://doi.org/10.2307/2154395

zbMATH Keywords

asymptotic formsalgebraic differential equationHardy field

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Differential algebra (12H05) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Asymptotic expansions of solutions to ordinary differential equations (34E05) Ordered fields (12J15)

Related Items (max. 100)

Addendum: Growth orders occurring in expansions of Hardy-field solutions of algebraic differential equations ⋮ De l'application des méthodes valuatives en algèbre différentielle ⋮ Primary decomposition of lattice basis ideals ⋮ Symbolic asymptotics: Multiseries of inverse functions ⋮ Differential equations over polynomially bounded o-minimal structures

Cites Work

• An extension of Hardy's class L of orders of infinity
• Growth estimates for exp-log functions
• Hardy fields
• Hardy fields and existence of transexponential functions
• The Rank of a Hardy Field
• Rank change on adjoining real powers to Hardy fields
• Growth Properties of Functions in Hardy Fields

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