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Some recurrence relations and series for the generalised laplace transform
Published online by Cambridge University Press: 18 May 2009
Extract
The Laplace transform
has been generalised by Varma [4] by the relation
which reduces to (1.1) when k = -m + ½ by virtue of the identity
We shall define πk, m, λ (p) by the relation
The object of this paper is to obtain some recurrence formulae and series for πk, m, λ (p) and to use them to obtain recurrence formulae and series for MacRobert's E-function.
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- Copyright © Glasgow Mathematical Journal Trust 1960
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