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Positive Polynomials and Time Dependent Integer-Valued Random Variables

Published online by Cambridge University Press:  20 November 2018

B. M. Baker  and
D. E. Handelman
B. M. Baker
Affiliation:
Mathematics Department, U. S. Naval Academy, Annapolis, Maryland USA 21402, g04195%n l@usna.navy.mil
D. E. Handelman
Affiliation:
Mathematics Department, University of Ottawa, Ottawa, Ontario KIN 6N5, dehsg%uottawa@ACADVM1.ca
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Let {Pi} be a sequence of real (Laurent) polynomials each of which has no negative coefficients, and suppose that f is a real polynomial. Consider the problem of deciding whether

for all integers k, there exists Nsuch that the product of polynomials

(*) Pk+1. Pk+2.....Pk+N·ƒ has no negative coefficients.

Keywords

60F1519K1446L8046A5526D9946A4060F2052A0760J1560J5062E20
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 1 , 01 December 1991 , pp. 3 - 41
Copyright
Copyright © Canadian Mathematical Society 1991

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