Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0786.44003
Prudnikov, A.P.; Brychkov, Yu.A.; Marichev, O.I.
Integrals and series. Vol. 4: Direct Laplace transforms. (English)
[B] New York: Gordon and Breach Science Publishers. xx, 619 p. \$ 170.00 (1992). ISBN 2-88124-837-3/hbk

This book comprises a very extensive list of direct Laplace transforms, including many published for the first time. The tabulation follows the conventional ``original function in the left-, transformation in the right-hand columns'', whilst the required formulae can be found from a detailed contents list at the front of the book.\par Most of the functions associated with the theory of operational calculus are represented, including the theta functions, but not the Jacobian elliptic functions, although a reference is given for these latter doubly periodic functions in a comprehensive bibliography at the end of the book.\par Of passing interest is the way periodicity can be imposed on representative function segments by replacing the argument with its entier, i.e. for arbitrary $f(t)$, $f([t])$ is periodic. This idea figures quite prominently throughout the tables.\par Finally, an appendix summarises the properties and applications of Laplace transforms, and there is a particularly edifying bit on the solution of differential and integral equations by the method of Laplace transforms.

MSC 2000:: *44A10 Laplace transform
44-00 Reference works (integral transforms)
44A35 Convolution
00A22 Formularies
44A20 Integral transforms of special functions
33-00 Reference works (special functions)

Keywords: textbook; formulary; direct Laplace transforms; operational calculus; theta functions; doubly periodic functions; tables

Cited in: Zbl 1185.44001 Zbl 1068.33006 Zbl 0851.44001 Zbl 0967.00503

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering

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

Simple Search

Zentralblatt MATH Berlin [Germany]