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

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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

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
URI https://vuir.vu.edu.au/id/eprint/2384
Subjects Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Historical > FOR Classification > 0199 Other Mathematical Sciences Information Systems
Keywords ResPubID5656, Volterra integral equations, sum of series, trascendental functions, Laplace transforms.
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