Geodesic
Some infinite integrals involving E-functions
Glasgow mathematical journal, Tome 5 (1962) no. 4, pp. 183-187

Voir la notice de l'article provenant de la source Cambridge University Press

A function φ(p) is operationally related to h(t) when they satisfy the integral equationprovided that the integral is convergent and R(p)> 0.As usual, we shall denote (1) by the symbolic expressionφ(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. 
Some infinite integrals involving E-functions. Glasgow mathematical journal, Tome 5 (1962) no. 4, pp. 183-187. doi: 10.1017/S2040618500034560
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[1] 1.Erdélyi, A., Higher transcendental functions, Vol. I (New York, 1953). Google Scholar

[2] 2.Erdélyi, A., Tables of integral transforms, Vol. I (New York, 1954). Google Scholar

[3] 3.Erdélyi, A., Tables of integral transforms, Vol. II (New York, 1954). Google Scholar

[4] 4.Goldstein, S., Operational representation of Whittaker's confluent hypergeometric function and Weber's parabolic cylinder functions, Proc. London Math. Soc. (2) 34 (1932), 103–125. Google Scholar | DOI

[5] 5.Rathie, C. B., A few theorems on generalised Laplace transform, Proc. Nat. Acad. Sci., India 21 (1953), 65–74. Google Scholar

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