Integrals involvingE-functions

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Dec 1958 Germany English Publisher:Springer Science and Business Media LLCJournal:Mathematische Zeitschrift, volume 69, pages 234-236 (issn: 0025-5874, eissn: 1432-1823,

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Authors: MACROBERT, T.M.;

doi: 10.1007/bf01187404 , 10.1017/s2040618500034663

Integrals involvingE-functions

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Abstract

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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Germany

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University of Glasgow
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DigiZeitschriften
Germany

Keywords

special functions, 510.mathematics, Special Functions, Article

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