Extension of a theorem of J. H. Grace to transcendental entire functions
Published online by Cambridge University Press: 24 October 2008
Extract
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}.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 112 , Issue 3 , November 1992 , pp. 565 - 573
- Copyright
- Copyright © Cambridge Philosophical Society 1992
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