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Integrals involving E-functions
Published online by Cambridge University Press: 18 May 2009
Extract
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.
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- Copyright © Glasgow Mathematical Journal Trust 1963
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