Summary
An integral involving the product of three generalised hypergeometric functions is evaluated in terms of Kampe de Feriet's functions of higher order.
Infinite integrals involving products of 3, 4, 5 and six Bessel functions are deduced as particular cases.
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References
J. Kampe de Fériet,Les fonctions hypergeometrique d'ordre superieur a deux variables, comptes rendus, t, CLXXIII, (1921).
P. Appel, andJ. Kampé de Feriet,Fonctions hypergeometrique et hyperspheriques, Polynoms d'Hermite, Paris Gautier-Villars, (1926).
T. M. Mac Robert,Functions of a complex variable, 5th edit. London (1962).
A. Erdely, W. Magnus, F. Oberhettinger, andTricomi, (Megrew Hill Book Co.) New York, N.Y., (1954).
E. C. Titchmarch,Introduction to the theory of Foürier integrals, Oxford (1937).
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Entrata in Redazione il 1 febbraio 1970.
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Ragab, F.M., Hamza, A.M. Integrals involvingE-functions and Kampe de Feriet's functions of higher order. Annali di Matematica 87, 11–24 (1970). https://doi.org/10.1007/BF02411968
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DOI: https://doi.org/10.1007/BF02411968