Publication:
On the neutrix composition of x- <sup>s</sup> lnmx-And ln (1 + x +)

Issued Date

2018-12-01

Resource Type

Article

ISSN

17937183
17935571

DOI

10.1142/S1793557118500869

Other identifier(s)

2-s2.0-85030870780

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Asian-European Journal of Mathematics. Vol.11, No.6 (2018)

Suggested Citation

Mongkolsery Lin On the neutrix composition of x- <sup>s</sup> lnmx-And ln (1 + x +). Asian-European Journal of Mathematics. Vol.11, No.6 (2018). doi:10.1142/S1793557118500869 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/46092

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Title

On the neutrix composition of x- <sup>s</sup> lnmx-And ln (1 + x +)

Author(s)

Mongkolsery Lin

Other Contributor(s)

Mahidol University
 Institute of Technology of Cambodia

Abstract

© 2018 World Scientific Publishing Company. The neutrix composition F(f), F is a distribution and f is a locally summable function, is defined as the neutrix limit of the sequence {Fn(f)}, where Fn(x) = F(x)-I(x) and {I(x)} is a certain sequence of infinitely differentiable functions converging to the Dirac delta-function Í(x). The neutrix composition of the distributions x-slnmx-And ln(1 + x+) is evaluated for m,s = 1, 2,.. Further related results are also deduced.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/46092

Collections

Scopus 2018