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A New Inversion and Representation Theory for the Laplace Transform
Published online by Cambridge University Press: 20 November 2018
Extract
If
1.1
and
1.2
a ≥ 0, k=1, 2, 3, …; where is the Laguerre polynomial of order v, defined by
then we shall show that under certain conditions
1.3
Following the inversion theory, two representation theorems are given. The proofs of these theorems follow easily along the lines of Widder [4, Ch. VII] and are therefore omitted.
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- Copyright © Canadian Mathematical Society 1966