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On the Approximate Inversion of Some Laplace Transforms

Yudell L. Luke

出版	Aeronautical Research Laboratory, Office of Aerospace Research, United States Air Force, 1961
URL	http://books.google.com.hk/books?id=E0RHbIzhEPkC&hl=&source=gbs_api
EBook	FULL_PUBLIC_DOMAIN

註釋

It is shown how to approximate a class of Laplace transforms, say A(p), which involve the ratio of sums of generalized hypergeometric functions. The latter transcendentals are approximated by rational functions . Thus A(p) is approximated by a rational function and inversion of the latter leads to simple and useful approximations for the inverse transform of A(p). For an application, a stress problem is studied, and the results manifest the simplicity and accuracy of our approximation technique.