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

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

1 Alıntı (Scopus)

Özet

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,....

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	49-60
Sayfa sayısı	12
Dergi	Integral Transforms and Special Functions
Hacim	11
Basın numarası	1
DOI'lar	https://doi.org/10.1080/10652460108819299
Yayın durumu	Yayınlandı - 2001

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10.1080/10652460108819299

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title = "Some results on the non-commutative neutrix product of distributions",

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,....",

keywords = "Delta-function, Distribution, Neutrix, Neutrix limit, Neutrix product",

author = "E. {\"O}z{\c c}ag and B. Fisher and H. G{\"u}r{\c c}ay",

year = "2001",

doi = "10.1080/10652460108819299",

language = "English",

volume = "11",

pages = "49--60",

journal = "Integral Transforms and Special Functions",

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T1 - Some results on the non-commutative neutrix product of distributions

AU - Özçag, E.

AU - Fisher, B.

AU - Gürçay, H.

PY - 2001

Y1 - 2001

N2 - 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,....

AB - 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,....

KW - Delta-function

KW - Distribution

KW - Neutrix

KW - Neutrix limit

KW - Neutrix product

UR - https://www.scopus.com/pages/publications/18844478186

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DO - 10.1080/10652460108819299

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EP - 60

JO - Integral Transforms and Special Functions

JF - Integral Transforms and Special Functions

IS - 1

ER -

Some results on the non-commutative neutrix product of distributions

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