Numerical inversion of Mellin transforms

Tsamasphyros, G; Theocaris, PS

dc.contributor.author	Tsamasphyros, G	en
dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:05:35Z
dc.date.available	2014-03-01T01:05:35Z
dc.date.issued	1976	en
dc.identifier.issn	00063835	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/8891
dc.subject	laguerre polynomial	en
dc.subject	mellin transform	en
dc.subject	Numerical Inversion	en
dc.title	Numerical inversion of Mellin transforms	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01932274	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01932274	en
heal.publicationDate	1976	en
heal.abstract	A method is presented for the numerical inversion of Mellin transforms in which the inverse is obtained as an expansion in terms of Laguerre polynomials. The coefficients of this expansion are obtained as linear combinations of values of the transformed function or, equivalently, in terms of forward differences of this function. Thus, the Mellin transform of the series can be written as a forward interpolation series. Consequently the error of the numerical inversion procedure can be estimated. The practical advantage of the method is that values are needed for real arguments only. © 1976 BIT Foundations.	en
heal.publisher	Kluwer Academic Publishers	en
heal.journalName	BIT	en
dc.identifier.doi	10.1007/BF01932274	en
dc.identifier.volume	16	en
dc.identifier.issue	3	en
dc.identifier.spage	313	en
dc.identifier.epage	321	en