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Integrals and Series. Vol. 5: Inverse Laplace transforms. (English) Zbl 0781.44002
Philadelphia, PA: Gordon and Breach Science Publishers. xx, 595 p. (1992).

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.

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.

For the other volumes see Zbl 0511.00044, Zbl 0606.33001, Zbl 0626.00033 and Zbl 0733.00004.

Reviewer: L.Berg (Rostock)

MSC:
44A10Laplace transform
44A20Integral transforms of special functions
00A22Formularies
33-02Research monographs (special functions)
44-02Research monographs (integral transforms)