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

Journal of Mathematical Chemistry

Volumn 38, Issue 2, 2005, Pages 165-173

  Berberan Santos, Mário N ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

Asymptotic power law; Kinetics; Laplace transform; Luminescence decay; Relaxation function; Stretched exponential

Indexed keywords

EID: 23844450734     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10910-005-4961-3     Document Type: Article

References (21)

1. D.V. Widder 1947 Advanced Calculus 2 Prentice-Hall Englewood Cliffsh
2. R.E. Bellman R.S. Roth 1984 The Laplace Transform World Scientific Singapore.
3. D.A. McQuarrie 2003 Mathematical Methods for Scientists and Engineers University Science Books Sausalito
4. M.A.B. DEakin, Math. Educ. April-June issue (1985) 24.
5. M.A.B. Deakin 1992 Arch Hist Exact Sci 44 265
6. B. Valeur 2002 Molecular Fluorescence. Principles and Applications. Wiley-VCH Weinheim
7. B. Mollay, H.F. Kauffmann. in Disorder Effects on Relaxational Processes. eds. R. Richert, and A. Blumen (Springer Berlin,1994) pp. 509-541.
8. M.N. Berberan-Santos P. Choppinet A. Fedorov L. Jullien B. Valeur 1999 J. Am. Chem. Soc 121 2526
9. E.N. Bodunov M.N. Berberan-Santos E.J. Nunes Pereira J.M.G. Martinho 2000 Chem. Phys. 259 49
10. Berberan-Santos M.N, Bodunov E.N., Valeur., Chem Phys. (in press).
11. L.A. Schmittroth 1960 Comm. ACM 3 171
12. H. Dubner J. Abate 1968 j. ACM 15 115
13. K.S.. Crump 1976 J. ACM 23 89
14. B. Davies B. Martin 1979 J. Comp. Phys. 33 1
15. J. Abate, G.L. Choudhury, and W. Whit, in: Computational Probability, ed. W. Grassman (Kluwer, Boston, 1999) pp. 257-323.
16. B.D. Hughes 1995 Random Walks and Random Environments. Vol 1: Random Walks Oxford University Press Oxford
17. V.V. Uchaikin V.M. Zolotarev 1997 Chance and Stability. Stable Distributions and Their Applications VSP Utrecht
18. H. Pollard 1946 Bull. Am. Math. Soc 52 908
19. A. Plonka v. Kroh Y.A. Berlin 1988 Chem. Phys. Lett. 153 433
20. R. Metzler J. Klafter J. Jortner M. Volk 1998 Chem. Phys. Lett. 293 477
21. R. Hilfer L. Anton 1995 Phys Rev E 51 R848