On the composition and neutrix composition of the delta function with the hyperbolic tangent and its inverse 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 cert...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
Hindawi Publishing Corporation
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25270/1/On%20the%20composition%20and%20neutrix%20composition%20of%20the%20delta%20function%20with%20the%20hyperbolic%20tangent%20and%20its%20inverse%20functions.pdf |