Accession Number:

AD0259669

Title:

ON THE APPROXIMATE INVERSION OF SOME LAPLACE TRANSFORMS

Descriptive Note:

Corporate Author:

MIDWEST RESEARCH INST KANSAS CITY MO

Personal Author(s):

Report Date:

1961-05-01

Pagination or Media Count:

1.0

Abstract:

IT IS SHOWN HOW TO APPROXIMATE A CLASS OF Laplace transforms, say Ap, which involve the ratio of sums of generalized hypergeometric functions. The latter transcendentals are approximated by rational functions Luke, Y.L., Jour. Math. Phys. 38, 279-294, 1960. Thus Ap is approximated by a rational function and inversion of the latter leads to simple and useful approximations for the inverse transform of Ap. For an application, a stress problem Miklowitz, J., Jour. Appl. Mech. Ser. E, 27, 165-171, 1960 is studied, and the results manifest the simplicity and accuracy of our approximation technique. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE