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Integrals involving E-functions
Published online by Cambridge University Press: 18 May 2009
Extract
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,
and
where n is a positive integer,
and
the 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].
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- Copyright © Glasgow Mathematical Journal Trust 1966
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