On the neutrix composition of the delta and inverse hyperbolic sine functions.

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...

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Bibliographic Details
Main Authors: Kilicman, Adem, Fisher, Brian
Format: Article
Language:English
English
Published: Hindawi Publishing Corporation 2011
Online Access:http://psasir.upm.edu.my/id/eprint/25200/
http://psasir.upm.edu.my/id/eprint/25200/1/On%20the%20neutrix%20composition%20of%20the%20delta%20and%20inverse%20hyperbolic%20sine%20functions.pdf

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