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Further properties of the Sumudu transform and its applications. (English) Zbl 1013.44001
The Sumudu transform \[ F(u)= \int^\infty_0 {1\over u} \exp\Biggl(-{t\over u}\Biggr) f(t) \] is nothing else than the well known Laplace-Carson transform [cf. V. A. Ditkin and A. P. Prudnikov, Integral transforms and operational calculus (1965; Zbl 0133.06202)] after the substitution \(u={1\over p}\).

44A10 Laplace transform
44A15 Special integral transforms (Legendre, Hilbert, etc.)
Full Text: DOI
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