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On Series Involving Zeros of Transcendental Functions Arising from Volterra Integral Equations

Cerone, Pietro (2001) On Series Involving Zeros of Transcendental Functions Arising from Volterra Integral Equations. Le Matematiche, 56 (1). pp. 3-26. ISSN 0373-3505

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Abstract

Series arising from Volterra integral equations of the second kind are summed. The series involve inverse powers of roots of the characteristic equation. It is shown how previous similar series obtained from differential-difference equations are particular cases of the present development. A number of novel and interesting results are obtained. The techniques are demonstrated through illustrative examples.

Item Type: Article
Uncontrolled Keywords: ResPubID5656, Volterra integral equations, sum of series, trascendental functions, Laplace transforms.
Subjects: Faculty/School/Research Centre/Department > School of Engineering and Science
FOR Classification > 0199 Other Mathematical Sciences Information Systems
Depositing User: VUIR
Date Deposited: 28 Jun 2011 04:03
Last Modified: 15 Aug 2011 05:59
URI: http://vuir.vu.edu.au/id/eprint/2384
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