On functions uniquely determined by their asymptotic expansion

DOI10.1007/s10688-006-0044-xzbMath1129.30024arXivmath/0508425OpenAlexW1615083492MaRDI QIDQ883701

V. P. Gurarij, D. W. H. Gillam

Publication date: 8 June 2007

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508425

zbMATH Keywords

differential equations in complex domaingevrey expansionsLaplace transforms in complex domainwatson's uniqueness theorem

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Asymptotic representations in the complex plane (30E15)

Related Items (5)

On functions uniquely determined by their asymptotic expansion ⋮ An inverse factorial series for a general gamma ratio and related properties of the Nørlund-Bernoulli polynomials ⋮ Error bounds, duality, and the Stokes phenomenon. I ⋮ Representation of analytic functions by exponential series in half-plane ⋮ On the existence and evaluation of Stokes phenomena in fluid mechanics

Cites Work

• On functions uniquely determined by their asymptotic expansion
• A new proof of summability of formal solutions of nonlinear meromorphic differential equations
• An improvement of Watson’s theorem on Borel summability
• On Conformal Mapping of Infinite Strips
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