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Extension of a theorem of J. H. Grace to transcendental entire functions

Published online by Cambridge University Press:  24 October 2008

J. Clunie  and
Q. I. Rahman
J. Clunie
Affiliation:
Department of Mathematics, University of York, Heslington, York, Y01 5DD
Q. I. Rahman
Affiliation:
Département de Mathématiques et de Statistique, Université de Montréal, Montréal, Québec H3C 3J7, Canada
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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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References

REFERENCES

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