Abstract
The following result is due to J. H. Grace (see [4], p. 356, also see [9], §3).Theorem A. if p is a polynomial such that p(–1) = p(1) then the derivative p' has a zero in each of the half-planes {Rez ≤0} and {Rez ≥0}.
Publisher
Cambridge University Press (CUP)
Reference9 articles.
1. The zeros of a polynomial;Grace;Proc. Cambridge Philos. Soc.,1902
2. Sur les fonctions entières d'ordre entier
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Obituary: James (Jim) Gourlay Clunie 1926-2013;Bulletin of the London Mathematical Society;2015-05-18
2. Gauss-Lucas theorems for entire functions onCM;Complex Variables and Elliptic Equations;2014-03-24
3. Two Inequalities for Polynomials and their Extensions;Computational Methods and Function Theory;2013-06-04
4. The mean value theorem and analytic functions of a complex variable;Journal of Mathematical Analysis and Applications;2006-12