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A property of a certain class of Laplace-type transforms

โœ Scribed by A. G. Demchenko; A. P. Kokhanovskii


Book ID
112478309
Publisher
Springer
Year
1982
Tongue
English
Weight
182 KB
Volume
33
Category
Article
ISSN
0041-5995

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A class of laplace transforms arising in
โœ S. M. Berman ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 270 KB

It is shown that the function [a + (1 + 2 ~) ' / ~] -' , s 2 0, with fixed a > -1, is the Laplace transform of an explicitly given non-negative function &;a), x > 0. This class of functions has easily computable convolutions. This property is used to identify the distribution of a sojourn time integ