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Generalisation of Euler's identity

Published online by Cambridge University Press:  17 April 2009

A. Sofo  and
P. Cerone
A. Sofo
Affiliation:
Department of Computer and Mathematical Sciences, Victoria University of Technology, PO Box 14428 MCMC, Melbourne Vic 8001, Australia
P. Cerone
Affiliation:
Department of Computer and Mathematical Sciences, Victoria University of Technology, PO Box 14428 MCMC, Melbourne Vic 8001, Australia
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Abstract

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An investigation of representation of Abel type infinite sums in closed form will be presented in this paper. An arbitrary order forced differential-difference equation will be analysed from which sums will be generated. Identities of resulting infinite sums will be proved.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 58 , Issue 3 , December 1998 , pp. 359 - 371
Copyright
Copyright © Australian Mathematical Society 1998

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