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Title: Laguerre polynomials in the inversion of Mellin transform (English)
Author: Tsamasphyros, George J.
Author: Theocaris, Pericles S.
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 26
Issue: 3
Year: 1981
Pages: 180-193
Summary lang: English
Summary lang: Czech
Category: math
Summary: In order to use the well known representation of the Mellin transform as a combination of two Laplace transforms, the inverse function $g(r)$ is represented as an expansion of Laguerre polynomials with respect to the variable $t=ln\ r$. The Mellin transform of the series can be written as a Laurent series. Consequently, the coefficients of the numerical inversion procedure can be estimated. The discrete least squares approximation gives another determination of the coefficients of the series expansion. The last technique is applied to numerical examples. (English)
Keyword: Mellin transform
Keyword: expansion of Laguerre polynomials
Keyword: numerical inversion
Keyword: discrete least squares approximation
Keyword: numerical examples
MSC: 44A10
MSC: 44A15
MSC: 65R10
MSC: 65T05
idZBL: Zbl 0464.65089
idMR: MR0615605
Date available: 2008-05-20T18:16:52Z
Last updated: 2015-07-09
Stable URL:
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