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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 $$u={1\over p}$$.

##### MSC:
 44A10 Laplace transform 44A15 Special integral transforms (Legendre, Hilbert, etc.)
##### Keywords:
Sumudu transform; Laplace-Carson transform
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##### References:
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