Publication: The noncommutative neutrix product of x<inf>-</inf><sup>-s</sup>ln<sup>m</sup> x<inf>-</inf> and x<inf>+</inf><sup>r</sup>
| dc.contributor.author | Mongkolsery Lin | en_US |
| dc.contributor.author | Somsak Orankitjaroen | en_US |
| dc.contributor.author | Brian Fisher | en_US |
| dc.contributor.other | Mahidol University | en_US |
| dc.contributor.other | University of Leicester | en_US |
| dc.date.accessioned | 2018-11-09T02:30:44Z | |
| dc.date.available | 2018-11-09T02:30:44Z | |
| dc.date.issued | 2014-09-23 | en_US |
| dc.description.abstract | © 2014 World Scientific Publishing Company. In distribution theory, the product of two distributions can only be defined under certain conditions. In this paper, by using Fisher's definition, it is proved that if Gm,s(x) denotes the distribution (lnm+1x-)(s), then the noncommutative neutrix product Gm, s(x) o x+r exists and (Equation Presented) for m, s ≤ 1, where cr, m = ∫01xrlnmxρ(r)(x)dx. Related neutrix products are then deduced. | en_US |
| dc.identifier.citation | Asian-European Journal of Mathematics. Vol.7, No.3 (2014) | en_US |
| dc.identifier.doi | 10.1142/S1793557114500429 | en_US |
| dc.identifier.issn | 17937183 | en_US |
| dc.identifier.issn | 17935571 | en_US |
| dc.identifier.other | 2-s2.0-85028195952 | en_US |
| dc.identifier.uri | https://repository.li.mahidol.ac.th/handle/20.500.14594/34125 | |
| dc.rights | Mahidol University | en_US |
| dc.rights.holder | SCOPUS | en_US |
| dc.source.uri | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85028195952&origin=inward | en_US |
| dc.subject | Mathematics | en_US |
| dc.title | The noncommutative neutrix product of x<inf>-</inf><sup>-s</sup>ln<sup>m</sup> x<inf>-</inf> and x<inf>+</inf><sup>r</sup> | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| mu.datasource.scopus | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85028195952&origin=inward | en_US |