Inversion of a Laplace Transform arising from a Problem in Applied Chemical Kinetics
β Scribed by WOOD, T.
- Book ID
- 109617040
- Publisher
- Nature Publishing Group
- Year
- 1961
- Tongue
- English
- Weight
- 129 KB
- Volume
- 191
- Category
- Article
- ISSN
- 0028-0836
- DOI
- 10.1038/191589a0
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π SIMILAR VOLUMES
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
## Abstract We consider the problem of finding __u__ β __L__ ^2^(__I__ ), __I__ = (0, 1), satisfying β«~__I__~ __u__ (__x__ )__x__ d__x__ = __ΞΌ__ ~__k__~ , where __k__ = 0, 1, 2, β¦, (__Ξ±__ ~__k__~ ) is a sequence of distinct real numbers greater than β1/2, and **__ΞΌ__** = (__ΞΌ__ ~__kl__~ ) is a g