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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.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1962

References

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