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...
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th-cmuir.6653943832-622942018-09-11T09:25:16Z The composition of the distributions x- -ms ln x - and x+ r-p/m B. Fisher A. Kananthai G. Sritanatana K. Nonlaopon Mathematics 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. 2018-09-11T09:25:16Z 2018-09-11T09:25:16Z 2005-01-01 Journal 10652469 2-s2.0-22944444656 10.1080/10652460412331270661 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=22944444656&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62294 |
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Mathematics |
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Mathematics B. Fisher A. Kananthai G. Sritanatana K. Nonlaopon The composition of the distributions x- -ms ln x - and x+ r-p/m |
| description |
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. |
| format |
Journal |
| author |
B. Fisher A. Kananthai G. Sritanatana K. Nonlaopon |
| author_facet |
B. Fisher A. Kananthai G. Sritanatana K. Nonlaopon |
| author_sort |
B. Fisher |
| title |
The composition of the distributions x- -ms ln x - and x+ r-p/m |
| title_short |
The composition of the distributions x- -ms ln x - and x+ r-p/m |
| title_full |
The composition of the distributions x- -ms ln x - and x+ r-p/m |
| title_fullStr |
The composition of the distributions x- -ms ln x - and x+ r-p/m |
| title_full_unstemmed |
The composition of the distributions x- -ms ln x - and x+ r-p/m |
| title_sort |
composition of the distributions x- -ms ln x - and x+ r-p/m |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=22944444656&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/62294 |
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