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A Few Infinite Integrals involving E-Functions
Published online by Cambridge University Press: 18 May 2009
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The object of this paper is to evaluate a few infinite integrals involving E-functions by applying the Parseval-Goldstein [1] theorem of Operational Calculus; that, if
and
then
when the integrals are convergent.
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 1956
References
REFERENCES
(1)Goldstein, S., ‘Operational representation of Whittaker's confluent hypergeomctric function and Weber's parabolic cylinder function’, Proc. Land. Math. Soc.,(2), 34 (1932), 103–125.Google Scholar
(2)MacRobert, T. M., ‘Some integrals involving Legendre and Bessel functions, Quar. Jour. Math., 11 (1940), 95–100.CrossRefGoogle Scholar
(3)MacRobert, T. M., ‘Some integrals involving E-functions’, Proc. Glasg. Math. Ass., 1 (1953), 190–191.CrossRefGoogle Scholar
(4)Ragab, F. M., ‘Integrals involving E-functions’, Proc. Glasg. Math. Ass., 1 (1953), 129–136.CrossRefGoogle Scholar
(5)Rathie, C. B., ‘Some infinite integrals involving E-functions, Jour. Indian Math. Soc., (4), 17 (1953), 167–175.Google Scholar
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