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An extension of Jensen's form

Published online by Cambridge University Press:  17 April 2009

A. Sofo
A. Sofo
Affiliation:
School of Communications and Informatics, Victoria University of Technology, P.O. Box 14428, Melbourne City MC, Victoria 8001, Australia e-mail: anthony.sofo@vu.edu.auhttp://sci.vu.edu.au/staff/anthonys.html
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Abstract

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Arbitrary order forced difference-delay systems are considered, from which generated infinite sums of Binomial variation may be represented in closed form. It will be proved that the infinite sums may be expressed in a closed form which depends on dominant zeros of the polynomial characteristic functions. A connection between the infinite sum and generalised hypergeometric series will also be demonstrated.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 63 , Issue 2 , April 2001 , pp. 279 - 298
Copyright
Copyright © Australian Mathematical Society 2001

References

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