Inversion of the laplace transform based on the Fourier-Legendre expansion of the original function

Inversion of the laplace transform based on the Fourier-Legendre expansion of the original function

A theorem on the convergence rate of the Fourier-Legendre expansion of the original is proved. The optimal value of the parameter μ in the change of variable x = e −μ t is determined.

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Veröffentlicht in:Vestnik, St. Petersburg University. Mathematics St. Petersburg University. Mathematics, 2008-03, Vol.41 (1), p.71-74
1. Verfasser: Kabardov, M. M.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Brief Scientific Communications
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:A theorem on the convergence rate of the Fourier-Legendre expansion of the original is proved. The optimal value of the parameter μ in the change of variable x = e −μ t is determined.
ISSN:1063-4541
1934-7855
DOI:10.3103/S1063454108010123