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On the Roots of a Derivative of a Rational Function

Published online by Cambridge University Press:  20 January 2009

L. R. Ford
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Extract

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This paper extends some familiar theorems concerning the relations between the roots of a polynomial and those of its first derivative to the more general case of the rational function with a pole at a single point.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 33 , February 1914 , pp. 103 - 106
Copyright
Copyright © Edinburgh Mathematical Society 1914

References

* Osgood, : Lehrbuch der Funktionentheorie, Vol. 1, 2nd Ed., 1912, p. 211.Google Scholar

† Hayashi, , in Vol. 15, p. 112, 03 1914.Google Scholar

Irwin, , in Vol. 16, p. 138, 03 1915.Google Scholar