Analytical inversion of the Laplace transform without contour integration: application to luminescence decay laws and other relaxation functions

DOI10.1007/s10910-005-4961-3zbMath1217.44002OpenAlexW1992326627MaRDI QIDQ551965

Mario N. Berberan-Santos

Publication date: 21 July 2011

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

Full work available at URL: https://doi.org/10.1007/s10910-005-4961-3

zbMATH Keywords

Laplace transformkineticsrelaxation functionstretched exponentialluminescence decayasymptotic power law

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Laplace transform (44A10)

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Cites Work

• Numerical inversion of the Laplace transform: a survey and comparison of methods
• Numerical inversion of Laplace transforms
• Numerical Inversion of Laplace Transforms Using a Fourier Series Approximation
• Numerical Inversion of Laplace Transforms by Relating Them to the Finite Fourier Cosine Transform
• The representation of 𝑒^{-𝑥^{𝜆}} as a Laplace integral