Some results on the non-commutative neutrix product of distributions

E. Özçag; B. Fisher; H. Gürçay

doi:10.1080/10652460108819299

Some results on the non-commutative neutrix product of distributions

E. Özçag
, B. Fisher
, H. Gürçay

University of Leicester

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper, using the concept of the neutrix limit due to J.G. van der Corput [3], the non-commutative neutrix products x₊^s o x_-^-r-s ln x_- and x₊^s o F(x_-, -r - s)ln x_- are proved to exist and are evaluated for s = o,1,... and r = 1,2,....

Original language	English
Pages (from-to)	49-60
Number of pages	12
Journal	Integral Transforms and Special Functions
Volume	11
Issue number	1
DOIs	https://doi.org/10.1080/10652460108819299
Publication status	Published - 2001

Keywords

Delta-function
Distribution
Neutrix
Neutrix limit
Neutrix product

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Cite this

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KW - Neutrix

KW - Neutrix limit

KW - Neutrix product

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Some results on the non-commutative neutrix product of distributions

Abstract

Keywords

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