Jameson, Graham J. O.
(2006)
*The number of zeros of a sum of fractional powers.*
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 462 (2070).
pp. 1821-1830.
ISSN 1364-5021

Official URL: https://doi.org/10.1098/rspa.2005.1647

## Abstract

We consider functions of the form f(x=∑j=1ncjx+ajp, where where a1>c⃛>an≥0. A version of Descartes's rule of signs applies. Further, if Cj=∑i=1jci and Cn=0, then the number of zeros of f is bounded by the number of sign changes of Cj. The estimate is reduced by 1 for each relation of the form ∑j=1ncjajr=0.

Item Type:

Journal Article

Journal or Publication Title:

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Additional Information:

RAE_import_type : Journal article RAE_uoa_type : Pure Mathematics

Uncontrolled Keywords:

/dk/atira/pure/researchoutput/libraryofcongress/qa

Subjects:

?? ZEROSDESCARTESLAGUERRESIGN CHANGESEXPONENTIAL SUMSPHYSICS AND ASTRONOMY(ALL)ENGINEERING(ALL)MATHEMATICS(ALL)QA MATHEMATICS ??

Departments:

ID Code:

2372

Deposited By:

Deposited On:

01 Apr 2008 15:13

Refereed?:

Yes

Published?:

Published

Last Modified:

19 Sep 2023 00:19