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A GENERALISATION OF DESCARTES’ RULE OF SIGNS

Part of: Polynomials, rational functions

Published online by Cambridge University Press:  24 January 2012

DANIEL V. TOKAREV
DANIEL V. TOKAREV*
Affiliation:
School of Mathematical Sciences, Monash University, Clayton 3800, Australia (email: daniel.tokarev@monash.edu)
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Abstract

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A generalisation of Descartes’ rule of signs to other functions is derived and a bound for the number of positive zeros of a class of integral transforms is deduced from that. A more precise rule of signs is also discussed in the light of these results.

Keywords

Descartes’ rule of signszeros of polynomialszeros of integral transforms

MSC classification

Secondary: 26C10: Polynomials
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 91 , Issue 3 , December 2011 , pp. 415 - 420
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2012

References

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