Integrals involving E-functions
Glasgow mathematical journal, Tome 6 (1963) no. 1, pp. 31-33

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1. Introductory. The following two integrals will be established in § 2.If m is a positive integer, if p ≧ q + 1 and if R(ar+kt) > 0 (r = 1, 2,..., p, t = 1, 2,..., m),where co is 1 or e±in according as m is even or odd, the dash denotes that the factor sin (k,–k,)π does not appear and the asterisk that the parameter kt–kt + 1 is omitted. If pp ≧ qthe result holds if the integral is convergent.
Macrobert, T. M. Integrals involving E-functions. Glasgow mathematical journal, Tome 6 (1963) no. 1, pp. 31-33. doi: 10.1017/S2040618500034663
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[1] 1.Erdélyi, A., Magnus, W., Oberhettinger, F. and Tricomi, F. G., Higher transcendental functions, Vol. I (New York, 1953). Google Scholar

[2] 2.MacRobert, T. M., Functions of a complex variable, 5th edition (London, 1962). Google Scholar

[3] 3.Ragab, F. M., Integrals of E-functions expressed in terms of E-functions, Proc. Glasgow Math. Assoc., 1 (1953), 192–195. Google Scholar | DOI

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