Geodesic
Integrals involving E-functions
Glasgow mathematical journal, Tome 7 (1966) no. 4, pp. 174-177

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

In this paper two integrals involving E-functions are evaluated in terms of E-functions. The formulae to be established are:where n is a positive integer, andwhere n is a positive integer, andthe prime and the asterisk denoting that the factor sin {(s–s)π/2n} and the parameter βq+s–βq+s + 1 are omitted. The definitions and properties of MacRobert's E-function can be found in [1, pp. 348–352] and [3, pp. 203–206]. 
Ragab, F. M.; Simary, M. A. Integrals involving E-functions. Glasgow mathematical journal, Tome 7 (1966) no. 4, pp. 174-177. doi: 10.1017/S2040618500035395
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[1] 1.MacRobert, T. M., Functions of a Complex Variable, 5th edn (London, 1962). Google Scholar

[2] 2.Nielsen, N., Handbuch der Theorie der Gamma Fimktion (Leipzig, 1906). Google Scholar

[3] 3.Erdélyi, A., Magnus, W., Oberhetinger, F. and Tricomi, E., Higher transcendental functions, Vol. 1 (New York, 1953). Google Scholar

[4] 4.Ragab, F. M., New integral representations of the modified Bessel function of the second kind, Mathematics Research Center, University of Wisconsin, 1965. Google Scholar

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