Accurate estimates of asymptotic indices via fractional calculus

DOI10.1007/s10910-013-0258-0zbMath1311.92226arXiv1306.5928OpenAlexW2045573974MaRDI QIDQ2441085

Sharmistha Dhatt, Kamal Bhattacharyya

Publication date: 21 March 2014

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5928

zbMATH Keywords

perturbation theoryPadé approximantsdivergent seriesfractional calculusSymanzik scaling

Mathematics Subject Classification ID

Chemistry (92E99) Fractional derivatives and integrals (26A33)

Uses Software

• hp.sr

Cites Work

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• Programs for the approximation of real and imaginary single- and multi-valued functions by means of Hermite-Padé-approximants
• Computer algebra and large scale perturbation theory
• On an alternative perturbation method in quantum mechanics
• Determination of f(∞) from the asymptotic series for f(x) about x=0
• Improved methods of estimating critical indices via fractional calculus
• Summation of asymptotic expansions of multiple-valued functions using algebraic approximants: Application to anharmonic oscillators
• Summation of the eigenvalue perturbation series by multi-valued Pade approximants: application to resonance problems and double wells
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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