Please use this identifier to cite or link to this item:
http://bura.brunel.ac.uk/handle/2438/6544
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Rawlins, AD | - |
dc.date.accessioned | 2012-07-06T15:58:01Z | - |
dc.date.available | 2012-07-06T15:58:01Z | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | IMA Journal of Applied Mathematics, Accepted for publication on 20 Jun 2011 | en_US |
dc.identifier.issn | 0272-4979 | - |
dc.identifier.uri | http://imamat.oxfordjournals.org/content/early/2011/07/26/imamat.hxr043.short?rss=1 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/6544 | - |
dc.description | Copyright @ The Author, 2011. The publisher version of the article can be accessed at the link below. | en_US |
dc.description.abstract | In this work we describe a simple method for finding approximate representations for special functions which are entire transcendental functions that can be represented by infinite products. This method replaces the infinite product by a finite polynomial and Gamma functions. This approximate representation is shown in the case of Bessel functions to be very accurate over a large range of parameter values. These approximate expressions can be useful for finding the roots of a transcendental equation and the Wiener-Hopf factorization of functions involving such Bessel functions.The method is shown to be potentially useful for other transcendental andWiener-Hopf problems, which involve other entire functions that have infinite product representations. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Oxford University Press on behalf of the Institute of Mathematics and its Applications | en_US |
dc.subject | Transcendental equations | en_US |
dc.subject | Roots | en_US |
dc.subject | Zeros | en_US |
dc.subject | Bessel functions | en_US |
dc.subject | Polynomial approximations | en_US |
dc.subject | Wiener-Hopf factorization | en_US |
dc.title | The method of finite-product extraction and an application to Wiener-Hopf theory | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1093/imamat/hxr043 | - |
pubs.organisational-data | /Brunel | - |
pubs.organisational-data | /Brunel/Brunel (Active) | - |
pubs.organisational-data | /Brunel/Brunel (Active)/School of Info. Systems, Comp & Maths | - |
pubs.organisational-data | /Brunel/School of Information Systems, Computing and Mathematics | - |
Appears in Collections: | Publications Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Fulltext.pdf | 588.25 kB | Adobe PDF | View/Open |
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.