On the Neutrix Composition of the Delta and Inverse Hyperbolic Sine Functions
Let F be a distribution in D' and let f be a locally summable function. The composition F(f(x)) of F and f is said to exist and be equal to the distribution h(x) if the limit of the sequence {Fn(f(x))} is equal to h(x), where Fn(x)=F(x)*δn(x) for n=1,2,… and {δn(x)} is a certain regular sequenc...
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Main Authors: | Brian Fisher, Adem Kılıçman |
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Format: | Article |
Language: | English |
Published: |
Wiley
2011-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2011/612353 |
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