The composition of the distributions x- -ms ln x - and x+ r-p/m
Let F be a distribution and f be a locally summable function. The distribution F(f) is defined as the neutrix limit of the sequence {Fn(f)}, where Fn(x) = F(X) δn{ δn(x) and {δn(x)} is a certain sequence of infinitely differentiable functions converging to the Dirac delta-function δ(x). The distribu...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Journal |
| Published: |
2018
|
| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=22944444656&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62294 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Chiang Mai University |
| Summary: | Let F be a distribution and f be a locally summable function. The distribution F(f) is defined as the neutrix limit of the sequence {Fn(f)}, where Fn(x) = F(X) δn{ δn(x) and {δn(x)} is a certain sequence of infinitely differentiable functions converging to the Dirac delta-function δ(x). The distribution x-sIn X- is denoted by Fs(x) and then Fms(x+rp/m) is evaluated for r,s= 1,2,..., and m = 2,3,..., where 1 ≤ p < m and p and m are coprime. © 2005 Taylor & Francis Ltd. |
|---|