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Zbl 0781.44002
Prudnikov, A.P.; Brychkov, Yu.A.; Marichev, O.I.
Integrals and Series. Vol. 5: Inverse Laplace transforms.
(English)
[B] Philadelphia, PA: Gordon and Breach Science Publishers. xx, 595 p. (1992). ISBN 2-88124-838-1/hbk

The book contains extensive tables for the inverse Laplace transform. After general formulas and formulas for elementary functions, it follows the main chapter with detailed formulas concerning 40 types of special functions, many of them published for the first time.\par The last chapter deals with formulas for a long series of further integral transforms, the corresponding inverse transforms, and their factorization in terms of modified Laplace transforms, so that the tables for the Laplace transform can also be used for the calculation and inversion of other transforms. The substantial book ends with 327 quotations and a list of notations.\par For the other volumes see Zbl 0511.00044, Zbl 0606.33001, Zbl 0626.00033 and Zbl 0733.00004.
[L.Berg (Rostock)]
MSC 2000:
*44A10 Laplace transform
44A20 Integral transforms of special functions
00A22 Formularies
33-02 Research monographs (special functions)
44-02 Research monographs (integral transforms)

Keywords: transforms of special functions; tables; inverse Laplace transform; integral transforms; inverse transforms; factorization

Citations: Zbl 0511.00044; Zbl 0606.33001; Zbl 0626.00033; Zbl 0733.00004

Cited in: Zbl 1185.44001 Zbl 0851.44001 Zbl 0967.00503

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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