# Laguerre polynomials and the inverse Laplace transform using discrete data

Abstract : We consider the problem of finding a function defined on $(0,\infty)$ from a countable set of values of its Laplace transform. The problem is severely ill-posed. We shall use the expansion of the function in a series of Laguerre polynomials to convert the problem in an analytic interpolation problem. Then, using the coefficients of Lagrange polynomials we shall construct a stable approximation solution.
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Cited literature [24 references]

https://hal.archives-ouvertes.fr/hal-00098062
Contributor : Alain Pham Ngoc Dinh <>
Submitted on : Saturday, May 19, 2007 - 2:06:23 PM
Last modification on : Tuesday, December 18, 2018 - 10:56:29 AM
Document(s) archivé(s) le : Friday, November 25, 2016 - 3:34:05 PM

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lagu4.pdf
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### Identifiers

• HAL Id : hal-00098062, version 4
• ARXIV : 0705.2825

### Citation

Tran Ngoc Lien, Dang Duc Trong, Alain Pham Ngoc Dinh. Laguerre polynomials and the inverse Laplace transform using discrete data. Journal of Mathematical Analysis and Applications, Elsevier, 2008, 337, pp.1302-1314. ⟨hal-00098062v4⟩

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