Novel summability methods generalizing the Borel method

DOI10.1007/BF01606012zbMath0942.81548OpenAlexW1969784246MaRDI QIDQ1574973

Alexander Moroz

Publication date: 14 August 2000

Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01606012

zbMATH Keywords

convergenceperturbation seriesanalytic continuationMittag-Leffler star

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Perturbation theories for operators and differential equations in quantum theory (81Q15) Abel, Borel and power series methods (40G10)

Related Items (5)

Taylor coefficients of smooth functions ⋮ The Use of Power Expansions in Quantum Field Theory ⋮ Strong asymptotic conditions (short guide to using summability methods). ⋮ Analytic continuation by means of the methods of divergent series ⋮ Summability method for a horn-shaped region

Cites Work

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• The reciprocal of a Borel summable function is Borel summable
• Schrödinger operators with magnetic fields. III: Atoms in homogeneous magnetic field
• The inverse of a Borel summable function
• An improvement of Watson’s theorem on Borel summability
• Summability Methods in Perturbation Theory
• On Gauge Invariance and Vacuum Polarization
• Divergence of Perturbation Theory in Quantum Electrodynamics
• What is the Laplace Transform?

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