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>

3

Issued Date

2014-09-23

Resource Type

Article

ISSN

17937183
17935571

DOI

10.1142/S1793557114500429

Other identifier(s)

2-s2.0-85028195952

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Asian-European Journal of Mathematics. Vol.7, No.3 (2014)

Suggested Citation

Mongkolsery Lin, Somsak Orankitjaroen, Brian Fisher 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>. Asian-European Journal of Mathematics. Vol.7, No.3 (2014). doi:10.1142/S1793557114500429 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/34125

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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>

Author(s)

Mongkolsery Lin
 Somsak Orankitjaroen
 Brian Fisher

Other Contributor(s)

Mahidol University
 University of Leicester

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.

Keyword(s)

Mathematics

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URI

https://repository.li.mahidol.ac.th/handle/123456789/34125

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