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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.)

Citations:

Zbl 0133.06202
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References:

[1] MILES J. W, Integral Transfarms in Applied Mathematics (1971)
[2] SNBDOON I. N, The Use of Integral Transferm (1972)
[3] STEPHENSON G, Mathematical Methods for Science Students (1973)
[4] SPEIGEL M. R, Schaum’s Outline of Theory and Problems of Advanced Calculus (1974)
[5] DAVIS B, Integral Trensform and their Application, Applied Mathematical Science 26 (1978)
[6] WATSON E. J, Laplace Transform and Applications (1981)
[7] WIDDER D. V, Advanced Calculus (1988)
[8] DOI: 10.1080/0020739930240105 · Zbl 0768.44003 · doi:10.1080/0020739930240105
[9] DOI: 10.1080/0020739940250214 · Zbl 0812.35004 · doi:10.1080/0020739940250214
[10] DOI: 10.1080/002073901317147870 · Zbl 1008.45003 · doi:10.1080/002073901317147870
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