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Some infinite integrals involving E-functions
Published online by Cambridge University Press: 18 May 2009
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A function φ(p) is operationally related to h(t) when they satisfy the integral equation
provided that the integral is convergent and R(p)> 0.
As usual, we shall denote (1) by the symbolic expression
φ(p) ≑ h(t).
The object of this paper is to evaluate some infinite integrals involving E-functions by the methods of the operational calculus. Most of the results obtained are believed to be new.
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- Copyright © Glasgow Mathematical Journal Trust 1962
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